Lu, Linzhang Constructing solutions of the Yang-Baxter-like matrix equation for singular matrices. (English) Zbl 07738653 J. Comput. Appl. Math. 436, Article ID 115403, 8 p. (2024). MSC: 15A24 16T25 PDF BibTeX XML Cite \textit{L. Lu}, J. Comput. Appl. Math. 436, Article ID 115403, 8 p. (2024; Zbl 07738653) Full Text: DOI
Bahayou, Amine Triangular structures on flat Lie algebras. (English) Zbl 07734123 J. Lie Theory 33, No. 3, 875-886 (2023). MSC: 17B38 17B62 53D17 PDF BibTeX XML Cite \textit{A. Bahayou}, J. Lie Theory 33, No. 3, 875--886 (2023; Zbl 07734123) Full Text: arXiv Link
Ni, Xiang; Bai, Chengming On quadri-bialgebras. (English) Zbl 07733244 Du, Jie (ed.) et al., Forty years of algebraic groups, algebraic geometry, and representation theory in China. In memory of the centenary year of Xihua Cao’s birth. East China Normal University Scientific Reports 16. Subseries of Symposia and Topic Studies. Singapore: World Scientific. 75-108 (2023). MSC: 16T25 20Gxx 14D20 22Exx 20-03 14-03 22-03 01A60 01A61 PDF BibTeX XML Cite \textit{X. Ni} and \textit{C. Bai}, in: Forty years of algebraic groups, algebraic geometry, and representation theory in China. In memory of the centenary year of Xihua Cao's birth. Singapore: World Scientific. 75--108 (2023; Zbl 07733244) Full Text: DOI arXiv
Cedó, F.; Okniński, J. Indecomposable solutions of the Yang-Baxter equation of square-free cardinality. (English) Zbl 07732028 Adv. Math. 430, Article ID 109221, 26 p. (2023). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T25 20B15 20F16 PDF BibTeX XML Cite \textit{F. Cedó} and \textit{J. Okniński}, Adv. Math. 430, Article ID 109221, 26 p. (2023; Zbl 07732028) Full Text: DOI arXiv
Ramírez, S. Indecomposable solutions of the Yang-Baxter equation with permutation group of sizes \(pq\) and \(p^2 q\). (English) Zbl 07719901 Commun. Algebra 51, No. 10, 4185-4194 (2023). Reviewer: Lorenzo Stefanello (Pisa) MSC: 16T25 81R50 17B37 PDF BibTeX XML Cite \textit{S. Ramírez}, Commun. Algebra 51, No. 10, 4185--4194 (2023; Zbl 07719901) Full Text: DOI arXiv
Ballester-Bolinches, A.; Esteban-Romero, R.; Jiménez-Seral, P.; Pérez-Calabuig, V. On Yang-Baxter groups. (English) Zbl 1515.81157 Quaest. Math. 46, No. 7, 1273-1281 (2023). MSC: 81R50 20F29 20B35 20F16 20C05 16S34 16T25 PDF BibTeX XML Cite \textit{A. Ballester-Bolinches} et al., Quaest. Math. 46, No. 7, 1273--1281 (2023; Zbl 1515.81157) Full Text: DOI
Konstantinou-Rizos, Sotiris Parametric 4-simplex maps of degenerated NLS type. (English) Zbl 07710928 Lobachevskii J. Math. 44, No. 3, 911-919 (2023). MSC: 16Txx 06Axx 17Bxx PDF BibTeX XML Cite \textit{S. Konstantinou-Rizos}, Lobachevskii J. Math. 44, No. 3, 911--919 (2023; Zbl 07710928) Full Text: DOI
Zhang, Kaiqiang; Du, Xiankun Set-theoretical solutions to the Hom-Yang-Baxter equation and Hom-cycle sets. (English) Zbl 07710295 J. Algebra 631, 1-23 (2023). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T25 20N02 20N05 PDF BibTeX XML Cite \textit{K. Zhang} and \textit{X. Du}, J. Algebra 631, 1--23 (2023; Zbl 07710295) Full Text: DOI arXiv
Doikou, Anastasia; Smoktunowicz, Agata From braces to Hecke algebras and quantum groups. (English) Zbl 07709987 J. Algebra Appl. 22, No. 8, Article ID 2350179, 28 p. (2023). MSC: 16T20 16T25 17B37 PDF BibTeX XML Cite \textit{A. Doikou} and \textit{A. Smoktunowicz}, J. Algebra Appl. 22, No. 8, Article ID 2350179, 28 p. (2023; Zbl 07709987) Full Text: DOI arXiv
Chouraqui, Fabienne On some Garsideness properties of structure groups of set-theoretic solutions of the Yang-Baxter equation. (English) Zbl 1517.20065 Commun. Algebra 51, No. 8, 3221-3231 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20F65 20F36 16T25 PDF BibTeX XML Cite \textit{F. Chouraqui}, Commun. Algebra 51, No. 8, 3221--3231 (2023; Zbl 1517.20065) Full Text: DOI arXiv
Igonin, S.; Konstantinou-Rizos, S. Local Yang-Baxter correspondences and set-theoretical solutions to the Zamolodchikov tetrahedron equation. (English) Zbl 1516.37076 J. Phys. A, Math. Theor. 56, No. 27, Article ID 275202, 18 p. (2023). MSC: 37J70 37K35 39A36 35Q55 16T25 PDF BibTeX XML Cite \textit{S. Igonin} and \textit{S. Konstantinou-Rizos}, J. Phys. A, Math. Theor. 56, No. 27, Article ID 275202, 18 p. (2023; Zbl 1516.37076) Full Text: DOI arXiv
Brubaker, Ben; Frechette, Claire; Hardt, Andrew; Tibor, Emily; Weber, Katherine Frozen pipes: lattice models for Grothendieck polynomials. (English) Zbl 1516.05227 Algebr. Comb. 6, No. 3, 789-833 (2023). MSC: 05E14 19L47 14M15 PDF BibTeX XML Cite \textit{B. Brubaker} et al., Algebr. Comb. 6, No. 3, 789--833 (2023; Zbl 1516.05227) Full Text: DOI arXiv
Bardakov, V. G.; Talalaev, D. V. Extensions of Yang-Baxter sets. (English. Russian original) Zbl 1516.16030 Theor. Math. Phys. 215, No. 2, 609-621 (2023); translation from Teor. Mat. Fiz. 215, No. 2, 176-189 (2023). MSC: 16T25 PDF BibTeX XML Cite \textit{V. G. Bardakov} and \textit{D. V. Talalaev}, Theor. Math. Phys. 215, No. 2, 609--621 (2023; Zbl 1516.16030); translation from Teor. Mat. Fiz. 215, No. 2, 176--189 (2023) Full Text: DOI arXiv
Chouraqui, Fabienne The Yang-Baxter equation and Thompson’s group \(F\). (English) Zbl 07691115 Int. J. Algebra Comput. 33, No. 3, 547-584 (2023). Reviewer: Huafeng Zhang (Villeneuve d’Ascq) MSC: 20M18 17B38 20F65 20F05 20F06 PDF BibTeX XML Cite \textit{F. Chouraqui}, Int. J. Algebra Comput. 33, No. 3, 547--584 (2023; Zbl 07691115) Full Text: DOI arXiv
Rump, Wolfgang The classification of nondegenerate uniconnected cycle sets. (English) Zbl 1515.05210 Pac. J. Math. 323, No. 1, 205-221 (2023). MSC: 05E18 16T25 81R50 17B37 PDF BibTeX XML Cite \textit{W. Rump}, Pac. J. Math. 323, No. 1, 205--221 (2023; Zbl 1515.05210) Full Text: DOI
Konstantinou-Rizos, S. Birational solutions to the set-theoretical 4-simplex equation. (English) Zbl 07683343 Physica D 448, Article ID 133696, 15 p. (2023). MSC: 39A36 16T25 35Q55 37K35 PDF BibTeX XML Cite \textit{S. Konstantinou-Rizos}, Physica D 448, Article ID 133696, 15 p. (2023; Zbl 07683343) Full Text: DOI arXiv
Lin, Yuanchang; Liu, Xuguang; Bai, Chengming Differential antisymmetric infinitesimal bialgebras, coherent derivations and Poisson bialgebras. (English) Zbl 1514.16028 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 018, 47 p. (2023). MSC: 16T10 16T25 17A30 17B62 81R60 PDF BibTeX XML Cite \textit{Y. Lin} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 018, 47 p. (2023; Zbl 1514.16028) Full Text: DOI arXiv
Stefanelli, Paola Semi-affine structures on groups and semi-braces. (English) Zbl 07681105 J. Pure Appl. Algebra 227, No. 9, Article ID 107383, 19 p. (2023). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T25 81R50 20M18 PDF BibTeX XML Cite \textit{P. Stefanelli}, J. Pure Appl. Algebra 227, No. 9, Article ID 107383, 19 p. (2023; Zbl 07681105) Full Text: DOI arXiv
Gateva-Ivanova, Tatiana Segre products and Segre morphisms in a class of Yang-Baxter algebras. (English) Zbl 07680380 Lett. Math. Phys. 113, No. 2, Paper No. 34, 34 p. (2023). Reviewer: Paola Stefanelli (Lecce) MSC: 16S37 16T25 16S38 16S15 81R60 PDF BibTeX XML Cite \textit{T. Gateva-Ivanova}, Lett. Math. Phys. 113, No. 2, Paper No. 34, 34 p. (2023; Zbl 07680380) Full Text: DOI arXiv
Jedlička, Přemysl; Pilitowska, Agata Indecomposable involutive solutions of the Yang-Baxter equation of multipermutation level 2 with non-abelian permutation group. (English) Zbl 07680230 J. Comb. Theory, Ser. A 197, Article ID 105753, 35 p. (2023). Reviewer: Nenad Manojlović (Faro) MSC: 16T25 81R50 17B37 PDF BibTeX XML Cite \textit{P. Jedlička} and \textit{A. Pilitowska}, J. Comb. Theory, Ser. A 197, Article ID 105753, 35 p. (2023; Zbl 07680230) Full Text: DOI arXiv
Bourn, Dominique; Facchini, Alberto; Pompili, Mara Aspects of the category SKB of skew braces. (English) Zbl 07673993 Commun. Algebra 51, No. 5, 2129-2143 (2023). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T25 18E13 20N99 PDF BibTeX XML Cite \textit{D. Bourn} et al., Commun. Algebra 51, No. 5, 2129--2143 (2023; Zbl 07673993) Full Text: DOI arXiv
Chirvasitu, Alex; Kanda, Ryo; Smith, S. Paul Elliptic R-matrices and Feigin and Odesskii’s elliptic algebras. (English) Zbl 1514.14004 Sel. Math., New Ser. 29, No. 2, Paper No. 31, 81 p. (2023). Reviewer: Jason Gaddis (Oxford) MSC: 14A22 16S38 16W50 17B37 14H52 PDF BibTeX XML Cite \textit{A. Chirvasitu} et al., Sel. Math., New Ser. 29, No. 2, Paper No. 31, 81 p. (2023; Zbl 1514.14004) Full Text: DOI arXiv
Camp-Mora, Sergio; Sastriques, Raúl A criterion for decomposabilty in QYBE. (English) Zbl 07672868 Int. Math. Res. Not. 2023, No. 5, 3808-3813 (2023). Reviewer: Agata Pilitowska (Warszawa) MSC: 16T25 PDF BibTeX XML Cite \textit{S. Camp-Mora} and \textit{R. Sastriques}, Int. Math. Res. Not. 2023, No. 5, 3808--3813 (2023; Zbl 07672868) Full Text: DOI
Li, Zhonghua; Wang, Shukun Rota-Baxter systems and skew trusses. (English) Zbl 1514.17019 J. Algebra 623, 447-480 (2023). Reviewer: Cindy Tsang (Tokyo) MSC: 17B38 17B40 22E60 PDF BibTeX XML Cite \textit{Z. Li} and \textit{S. Wang}, J. Algebra 623, 447--480 (2023; Zbl 1514.17019) Full Text: DOI arXiv
Rump, Wolfgang Decomposability of QYBE solutions revisited. (English) Zbl 1515.81160 Result. Math. 78, No. 2, Paper No. 70, 5 p. (2023). MSC: 81R50 16T25 05E18 PDF BibTeX XML Cite \textit{W. Rump}, Result. Math. 78, No. 2, Paper No. 70, 5 p. (2023; Zbl 1515.81160) Full Text: DOI
Hou, Dongping A new approach to Jordan D-bialgebras via Jordan-Manin triples. (English) Zbl 07667205 Algebra Colloq. 30, No. 1, 73-96 (2023). Reviewer: Stefaan Caenepeel (Brussels) MSC: 16T10 16T15 16T25 PDF BibTeX XML Cite \textit{D. Hou}, Algebra Colloq. 30, No. 1, 73--96 (2023; Zbl 07667205) Full Text: DOI
Catino, Francesco; Mazzotta, Marzia; Stefanelli, Paola Rota-Baxter operators on Clifford semigroups and the Yang-Baxter equation. (English) Zbl 1517.17015 J. Algebra 622, 587-613 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 17B38 16T25 81R50 20M18 PDF BibTeX XML Cite \textit{F. Catino} et al., J. Algebra 622, 587--613 (2023; Zbl 1517.17015) Full Text: DOI arXiv
Wang, Shengxiang; Zhang, Xiaohui; Guo, Shuangjian Hom-Yang-Baxter equations and Hom-Yang-Baxter systems. (English) Zbl 07664522 Commun. Algebra 51, No. 4, 1462-1478 (2023). Reviewer: Agata Pilitowska (Warszawa) MSC: 16T25 17A30 17B38 PDF BibTeX XML Cite \textit{S. Wang} et al., Commun. Algebra 51, No. 4, 1462--1478 (2023; Zbl 07664522) Full Text: DOI arXiv
Gubarev, Vsevolod; Kozlov, Roman Rota-Baxter operations on \(\mathrm{Cur}(\mathrm{sl}_2 (\mathbb{C}))\). (English) Zbl 1517.17017 Int. Electron. J. Algebra 33, 247-269 (2023). Reviewer: Cindy Tsang (Tokyo) MSC: 17B38 PDF BibTeX XML Cite \textit{V. Gubarev} and \textit{R. Kozlov}, Int. Electron. J. Algebra 33, 247--269 (2023; Zbl 1517.17017) Full Text: arXiv Link
Eghbali, Ali; Parvizi, Tayebe; Rezaei-Aghdam, Adel Yang-Baxter deformation of WZW model based on Lie supergroups: the cases of \(GL(1|1)\) and \((C^3 + A)\). (English) Zbl 07656873 Phys. Lett., B 838, Article ID 137727, 11 p. (2023). MSC: 81T40 81R12 14D15 28A05 17B38 17B80 20B25 83E50 PDF BibTeX XML Cite \textit{A. Eghbali} et al., Phys. Lett., B 838, Article ID 137727, 11 p. (2023; Zbl 07656873) Full Text: DOI arXiv
Wang, Na 3-Jack polynomials and Yang-Baxter equation. (English) Zbl 07656153 Rep. Math. Phys. 91, No. 1, 79-102 (2023). MSC: 05-XX 81-XX PDF BibTeX XML Cite \textit{N. Wang}, Rep. Math. Phys. 91, No. 1, 79--102 (2023; Zbl 07656153) Full Text: DOI
Stefanello, L.; Trappeniers, S. On bi-skew braces and brace blocks. (English) Zbl 07654874 J. Pure Appl. Algebra 227, No. 5, Article ID 107295, 22 p. (2023). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T25 20N99 81R50 PDF BibTeX XML Cite \textit{L. Stefanello} and \textit{S. Trappeniers}, J. Pure Appl. Algebra 227, No. 5, Article ID 107295, 22 p. (2023; Zbl 07654874) Full Text: DOI arXiv
Djordjević, Bogdan D. Doubly stochastic and permutation solutions to \(AXA = XAX\) when \(A\) is a permutation matrix. (English) Zbl 1508.15008 Linear Algebra Appl. 661, 79-105 (2023). Reviewer: Ali Morassaei (Zanjan) MSC: 15A24 15B51 15A09 PDF BibTeX XML Cite \textit{B. D. Djordjević}, Linear Algebra Appl. 661, 79--105 (2023; Zbl 1508.15008) Full Text: DOI
Cedó, F.; Jespers, E.; Kubat, Ł.; Van Antwerpen, A.; Verwimp, C. On various types of nilpotency of the structure monoid and group of a set-theoretic solution of the Yang-Baxter equation. (English) Zbl 1510.16031 J. Pure Appl. Algebra 227, No. 2, Article ID 107194, 38 p. (2023). Reviewer: Thomas Weber (Torino) MSC: 16T25 20F18 20F19 20M07 PDF BibTeX XML Cite \textit{F. Cedó} et al., J. Pure Appl. Algebra 227, No. 2, Article ID 107194, 38 p. (2023; Zbl 1510.16031) Full Text: DOI arXiv
Chekhov, Leonid O.; Shapiro, Michael Z.; Shibo, Huang Roots of the characteristic equation for the symplectic groupoid. (English. Russian original) Zbl 07733470 Russ. Math. Surv. 77, No. 3, 552-554 (2022); translation from Usp. Mat. Nauk 77, No. 3, 177-178 (2022). MSC: 16T20 16T25 PDF BibTeX XML Cite \textit{L. O. Chekhov} et al., Russ. Math. Surv. 77, No. 3, 552--554 (2022; Zbl 07733470); translation from Usp. Mat. Nauk 77, No. 3, 177--178 (2022) Full Text: DOI MNR
Miccoli, Maria Maddalena Involution semi-braces and the Yang-Baxter equation. (English) Zbl 07725456 Note Mat. 42, No. 2, 63-74 (2022). MSC: 16T25 20E22 20F16 PDF BibTeX XML Cite \textit{M. M. Miccoli}, Note Mat. 42, No. 2, 63--74 (2022; Zbl 07725456) Full Text: DOI
Tang, Rong; Sheng, Yunhe Leibniz bialgebras, relative Rota-Baxter operators, and the classical Leibniz Yang-Baxter equation. (English) Zbl 07674619 J. Noncommut. Geom. 16, No. 4, 1179-1211 (2022). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 17A32 17B38 17B62 PDF BibTeX XML Cite \textit{R. Tang} and \textit{Y. Sheng}, J. Noncommut. Geom. 16, No. 4, 1179--1211 (2022; Zbl 07674619) Full Text: DOI arXiv
Zhang, Senlin; Wang, Shuanhong Quasitriangular Hopf group-quasialgebras and generalized quantum Yang-Baxter equations. (English) Zbl 1512.18010 J. Math. Phys. 63, No. 7, Article ID 073502, 15 p. (2022). Reviewer: J. N. Alonso Alvarez (Vigo) MSC: 18M15 17B38 16T25 16T99 81R50 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{S. Wang}, J. Math. Phys. 63, No. 7, Article ID 073502, 15 p. (2022; Zbl 1512.18010) Full Text: DOI
Li, Pujin; He, Lijuan; Zhang, Xinyuan Braces whose additive group has a cyclic maximal subgroup. (English) Zbl 1515.81159 Front. Math. China 17, No. 6, 1051-1061 (2022); translation from Adv. Math., Beijing 50, No. 6, 907-916 (2021). MSC: 81R50 16T25 20D15 PDF BibTeX XML Cite \textit{P. Li} et al., Front. Math. China 17, No. 6, 1051--1061 (2022; Zbl 1515.81159); translation from Adv. Math., Beijing 50, No. 6, 907--916 (2021) Full Text: DOI
Igonin, Sergei; Konstantinou-Rizos, Sotiris Algebraic and differential-geometric constructions of set-theoretical solutions to the Zamolodchikov tetrahedron equation. (English) Zbl 07649150 J. Phys. A, Math. Theor. 55, No. 40, Article ID 405205, 29 p. (2022). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 39A36 37J70 37J37 37K10 16T25 15A24 PDF BibTeX XML Cite \textit{S. Igonin} and \textit{S. Konstantinou-Rizos}, J. Phys. A, Math. Theor. 55, No. 40, Article ID 405205, 29 p. (2022; Zbl 07649150) Full Text: DOI arXiv
Frassek, Rouven Integrable boundaries for the \(q\)-Hahn process. (English) Zbl 07649141 J. Phys. A, Math. Theor. 55, No. 40, Article ID 404008, 19 p. (2022). MSC: 82B23 81R50 PDF BibTeX XML Cite \textit{R. Frassek}, J. Phys. A, Math. Theor. 55, No. 40, Article ID 404008, 19 p. (2022; Zbl 07649141) Full Text: DOI arXiv
Ramírez, S.; Vendramin, L. Decomposition theorems for involutive solutions to the Yang-Baxter equation. (English) Zbl 1517.16030 Int. Math. Res. Not. 2022, No. 22, 18078-18091 (2022). Reviewer: Agata Pilitowska (Warszawa) MSC: 16T25 05E10 PDF BibTeX XML Cite \textit{S. Ramírez} and \textit{L. Vendramin}, Int. Math. Res. Not. 2022, No. 22, 18078--18091 (2022; Zbl 1517.16030) Full Text: DOI arXiv
Bardakov, Valeriy; Singh, Mahender A wells type exact sequence for non-degenerate unitary solutions of the Yang-Baxter equation. (English) Zbl 1517.16029 Homology Homotopy Appl. 24, No. 2, 31-51 (2022). Reviewer: Laurent Poinsot (Villetaneuse) MSC: 16T25 81R50 20J05 20N02 PDF BibTeX XML Cite \textit{V. Bardakov} and \textit{M. Singh}, Homology Homotopy Appl. 24, No. 2, 31--51 (2022; Zbl 1517.16029) Full Text: DOI arXiv
Duran, Durgun Dynamics of the quantum coherence under the concatenation of Yang-Baxter matrix. (English) Zbl 1508.81115 Quantum Inf. Process. 21, No. 2, Paper No. 50, 19 p. (2022). MSC: 81P40 PDF BibTeX XML Cite \textit{D. Duran}, Quantum Inf. Process. 21, No. 2, Paper No. 50, 19 p. (2022; Zbl 1508.81115) Full Text: DOI arXiv
Zhu, Haixing The construction of braided tensor categories from Hopf braces. (English) Zbl 1510.16030 Linear Multilinear Algebra 70, No. 16, 3171-3188 (2022). Reviewer: Loïc Foissy (Calais) MSC: 16T05 16T20 18M15 PDF BibTeX XML Cite \textit{H. Zhu}, Linear Multilinear Algebra 70, No. 16, 3171--3188 (2022; Zbl 1510.16030) Full Text: DOI
Nobukawa, Takahiko Connection problem for an extension of \(q\)-hypergeometric systems. (English) Zbl 07612164 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 080, 21 p. (2022). MSC: 33D70 39A13 PDF BibTeX XML Cite \textit{T. Nobukawa}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 080, 21 p. (2022; Zbl 07612164) Full Text: DOI arXiv
Cedó, F.; Jespers, E.; Okniński, J. Primitive set-theoretic solutions of the Yang-Baxter equation. (English) Zbl 1512.16031 Commun. Contemp. Math. 24, No. 9, Article ID 2150105, 10 p. (2022). Reviewer: Paola Stefanelli (Lecce) MSC: 16T25 20B15 20F16 PDF BibTeX XML Cite \textit{F. Cedó} et al., Commun. Contemp. Math. 24, No. 9, Article ID 2150105, 10 p. (2022; Zbl 1512.16031) Full Text: DOI arXiv
Dassoundo, Mafoya Landry; Bai, Chengming; Hounkonnou, Mahouton Norbert Anti-flexible bialgebras. (English) Zbl 07596135 J. Algebra Appl. 21, No. 11, Article ID 2250212, 22 p. (2022). MSC: 17A20 17D25 16D20 16T10 16T15 16T25 PDF BibTeX XML Cite \textit{M. L. Dassoundo} et al., J. Algebra Appl. 21, No. 11, Article ID 2250212, 22 p. (2022; Zbl 07596135) Full Text: DOI arXiv
Caranti, Andrea; Del Corso, Ilaria On the ranks of the additive and the multiplicative groups of a brace. (English) Zbl 1509.16032 Riv. Mat. Univ. Parma (N.S.) 13, No. 1, 31-46 (2022). Reviewer: Cindy Tsang (Tokyo) MSC: 16T25 12F10 20D15 20B35 20E18 PDF BibTeX XML Cite \textit{A. Caranti} and \textit{I. Del Corso}, Riv. Mat. Univ. Parma (N.S.) 13, No. 1, 31--46 (2022; Zbl 1509.16032) Full Text: arXiv Link
Rump, Wolfgang Classification of non-degenerate involutive set-theoretic solutions to the Yang-Baxter equation with multipermutation level two. (English) Zbl 1513.81087 Algebr. Represent. Theory 25, No. 5, 1293-1307 (2022). MSC: 81R50 16T25 PDF BibTeX XML Cite \textit{W. Rump}, Algebr. Represent. Theory 25, No. 5, 1293--1307 (2022; Zbl 1513.81087) Full Text: DOI
Caranti, A.; Stefanello, L. Brace blocks from bilinear maps and liftings of endomorphisms. (English) Zbl 1512.20004 J. Algebra 610, 831-851 (2022). Reviewer: Peter Danchev (Sofia) MSC: 20B05 20D45 20N99 16T25 PDF BibTeX XML Cite \textit{A. Caranti} and \textit{L. Stefanello}, J. Algebra 610, 831--851 (2022; Zbl 1512.20004) Full Text: DOI arXiv
Colazzo, I.; Jespers, E.; Van Antwerpen, A.; Verwimp, C. Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses. (English) Zbl 1511.16030 J. Algebra 610, 409-462 (2022). Reviewer: J. N. Alonso Alvarez (Vigo) MSC: 16T25 16W22 20M25 16S36 16Y99 PDF BibTeX XML Cite \textit{I. Colazzo} et al., J. Algebra 610, 409--462 (2022; Zbl 1511.16030) Full Text: DOI arXiv
Igonin, S. A. Set-theoretical solutions of the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability. (English. Russian original) Zbl 1516.37126 Theor. Math. Phys. 212, No. 2, 1116-1124 (2022); translation from Teor. Mat. Fiz. 212, No. 2, 263-272 (2022). MSC: 37K60 37K30 39A36 16T25 PDF BibTeX XML Cite \textit{S. A. Igonin}, Theor. Math. Phys. 212, No. 2, 1116--1124 (2022; Zbl 1516.37126); translation from Teor. Mat. Fiz. 212, No. 2, 263--272 (2022) Full Text: DOI arXiv
Doikou, Anastasia; Ghionis, Alexandros; Vlaar, Bart Quasi-bialgebras from set-theoretic type solutions of the Yang-Baxter equation. (English) Zbl 1517.16028 Lett. Math. Phys. 112, No. 4, Paper No. 78, 29 p. (2022). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T20 16T25 17B37 20G42 PDF BibTeX XML Cite \textit{A. Doikou} et al., Lett. Math. Phys. 112, No. 4, Paper No. 78, 29 p. (2022; Zbl 1517.16028) Full Text: DOI arXiv
Wang, Xiao; Yang, Seung Yeop The geometric realization of a normalized set-theoretic Yang-Baxter homology of biquandles. (English) Zbl 1501.55007 J. Knot Theory Ramifications 31, No. 9, Article ID 2250051, 18 p. (2022). Reviewer: Leandro Vendramin (Buenos Aires) MSC: 55N35 55Q52 57K10 PDF BibTeX XML Cite \textit{X. Wang} and \textit{S. Y. Yang}, J. Knot Theory Ramifications 31, No. 9, Article ID 2250051, 18 p. (2022; Zbl 1501.55007) Full Text: DOI arXiv
Castelli, Marco; Catino, Francesco; Stefanelli, Paola Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and dynamical extensions of \(q\)-cycle sets. (English) Zbl 1507.16038 J. Algebra Appl. 21, No. 8, Article ID 2250154, 22 p. (2022). Reviewer: Leandro Vendramin (Buenos Aires) MSC: 16T25 20N02 20E22 81R50 PDF BibTeX XML Cite \textit{M. Castelli} et al., J. Algebra Appl. 21, No. 8, Article ID 2250154, 22 p. (2022; Zbl 1507.16038) Full Text: DOI arXiv
Artenstein, Dalia; González, Ana; Mata, Gustavo Nearly Frobenius dimension of Frobenius algebras. (English) Zbl 1516.16040 Commun. Algebra 50, No. 11, 4906-4916 (2022). Reviewer: Shanghua Zheng (Nanchang) MSC: 16W99 16T25 PDF BibTeX XML Cite \textit{D. Artenstein} et al., Commun. Algebra 50, No. 11, 4906--4916 (2022; Zbl 1516.16040) Full Text: DOI arXiv
Jedlička, Přemysl; Pilitowska, Agata; Zamojska-Dzienio, Anna Cocyclic braces and indecomposable cocyclic solutions of the Yang-Baxter equation. (English) Zbl 1514.16030 Proc. Am. Math. Soc. 150, No. 10, 4223-4239 (2022). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T25 20B35 20D15 PDF BibTeX XML Cite \textit{P. Jedlička} et al., Proc. Am. Math. Soc. 150, No. 10, 4223--4239 (2022; Zbl 1514.16030) Full Text: DOI arXiv
Buciumas, Valentin; Scrimshaw, Travis Quasi-solvable lattice models for \(\operatorname{Sp}_{2n}\) and \(\operatorname{SO}_{2n+1}\) Demazure atoms and characters. (English) Zbl 1495.05332 Forum Math. Sigma 10, Paper No. e53, 34 p. (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 05E10 16T25 82B23 14M15 17B37 22E46 PDF BibTeX XML Cite \textit{V. Buciumas} and \textit{T. Scrimshaw}, Forum Math. Sigma 10, Paper No. e53, 34 p. (2022; Zbl 1495.05332) Full Text: DOI arXiv
Li, Yunnan; Guo, Li Braided Rota-Baxter algebras, quantum quasi-shuffle algebras and braided dendriform algebras. (English) Zbl 1505.16044 J. Algebra Appl. 21, No. 7, Article ID 2250134, 25 p. (2022). Reviewer: Loïc Foissy (Calais) MSC: 16T05 16W99 16T25 17B37 17B38 PDF BibTeX XML Cite \textit{Y. Li} and \textit{L. Guo}, J. Algebra Appl. 21, No. 7, Article ID 2250134, 25 p. (2022; Zbl 1505.16044) Full Text: DOI arXiv
Bai, Chengming; Guo, Li; Sheng, Yunhe Coherent categorical structures for Lie bialgebras, Manin triples, classical \(r\)-matrices and pre-Lie algebras. (English) Zbl 1500.17021 Forum Math. 34, No. 4, 989-1013 (2022). Reviewer: Alexander B. Levin (Washington) MSC: 17B62 17B38 16T10 16T25 12H10 16W99 57R56 PDF BibTeX XML Cite \textit{C. Bai} et al., Forum Math. 34, No. 4, 989--1013 (2022; Zbl 1500.17021) Full Text: DOI arXiv
Lebed, Victoria; Vendramin, Leandro Reflection equation as a tool for studying solutions to the Yang-Baxter equation. (English) Zbl 1504.16059 J. Algebra 607, Part B, 360-380 (2022). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T25 20N02 20F36 PDF BibTeX XML Cite \textit{V. Lebed} and \textit{L. Vendramin}, J. Algebra 607, 360--380 (2022; Zbl 1504.16059) Full Text: DOI arXiv
Zhong, Chenyang Stochastic symplectic ice. (English) Zbl 1491.82008 Lett. Math. Phys. 112, No. 3, Paper No. 55, 47 p. (2022). MSC: 82B23 82C22 82B20 16T25 60K35 PDF BibTeX XML Cite \textit{C. Zhong}, Lett. Math. Phys. 112, No. 3, Paper No. 55, 47 p. (2022; Zbl 1491.82008) Full Text: DOI arXiv
Andruszkiewicz, Ryszard Romuald; Smoktunowicz, Alicja The Yang-Baxter matrix equation for involutions. (English) Zbl 1499.15046 Miskolc Math. Notes 23, No. 1, 61-70 (2022). MSC: 15A24 16T25 PDF BibTeX XML Cite \textit{R. R. Andruszkiewicz} and \textit{A. Smoktunowicz}, Miskolc Math. Notes 23, No. 1, 61--70 (2022; Zbl 1499.15046) Full Text: DOI
Lu, Linzhang Manifold expressions of all solutions of the Yang-Baxter-like matrix equation for rank-one matrices. (English) Zbl 1496.15011 Appl. Math. Lett. 132, Article ID 108175, 7 p. (2022). MSC: 15A24 16T25 PDF BibTeX XML Cite \textit{L. Lu}, Appl. Math. Lett. 132, Article ID 108175, 7 p. (2022; Zbl 1496.15011) Full Text: DOI
Liu, Jiefeng; Wang, Qi Pre-Lie analogues of Poisson-Nijenhuis structures and Maurer-Cartan equations. (English) Zbl 1517.17001 J. Algebra Appl. 21, No. 6, Article ID 2250120, 34 p. (2022). MSC: 17A30 17A60 17B38 17D25 PDF BibTeX XML Cite \textit{J. Liu} and \textit{Q. Wang}, J. Algebra Appl. 21, No. 6, Article ID 2250120, 34 p. (2022; Zbl 1517.17001) Full Text: DOI arXiv
Catino, Francesco; Mazzotta, Marzia; Miccoli, Maria Maddalena; Stefanelli, Paola Set-theoretic solutions of the Yang-Baxter equation associated to weak braces. (English) Zbl 07533946 Semigroup Forum 104, No. 2, 228-255 (2022). MSC: 16T25 PDF BibTeX XML Cite \textit{F. Catino} et al., Semigroup Forum 104, No. 2, 228--255 (2022; Zbl 07533946) Full Text: DOI arXiv
Catino, Francesco; Cedó, Ferran; Stefanelli, Paola Nilpotency in left semi-braces. (English) Zbl 1498.16042 J. Algebra 604, 128-161 (2022). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T25 81R50 16Y99 PDF BibTeX XML Cite \textit{F. Catino} et al., J. Algebra 604, 128--161 (2022; Zbl 1498.16042) Full Text: DOI arXiv
Mutalip, Riza; Naurazbekova, Altyngul; Umirbaev, Ualbai Automorphisms of free braided associative algebras in two variables. (English) Zbl 1516.16036 Commun. Algebra 50, No. 2, 848-860 (2022). Reviewer: Bijan Davvaz (Yazd) MSC: 16W20 16T20 16T25 PDF BibTeX XML Cite \textit{R. Mutalip} et al., Commun. Algebra 50, No. 2, 848--860 (2022; Zbl 1516.16036) Full Text: DOI arXiv
Acri, E.; Bonatto, M. Skew braces of size \(p^2q\). I: Abelian type. (English) Zbl 1495.16030 Algebra Colloq. 29, No. 2, 297-320 (2022). MSC: 16T25 81R50 PDF BibTeX XML Cite \textit{E. Acri} and \textit{M. Bonatto}, Algebra Colloq. 29, No. 2, 297--320 (2022; Zbl 1495.16030) Full Text: DOI arXiv
Frassek, Rouven; Pestun, Vasily; Tsymbaliuk, Alexander Lax matrices from antidominantly shifted Yangians and quantum affine algebras: A-type. (English) Zbl 1514.17013 Adv. Math. 401, Article ID 108283, 73 p. (2022). MSC: 17B37 81R10 PDF BibTeX XML Cite \textit{R. Frassek} et al., Adv. Math. 401, Article ID 108283, 73 p. (2022; Zbl 1514.17013) Full Text: DOI arXiv
Burban, Igor; Peruzzi, Andrea On elliptic solutions of the associative Yang-Baxter equation. (English) Zbl 1501.17014 J. Geom. Phys. 176, Article ID 104499, 10 p. (2022). Reviewer: Agata Pilitowska (Warszawa) MSC: 17B38 16T25 PDF BibTeX XML Cite \textit{I. Burban} and \textit{A. Peruzzi}, J. Geom. Phys. 176, Article ID 104499, 10 p. (2022; Zbl 1501.17014) Full Text: DOI arXiv
Wang, Shengxiang; Zhang, Xiaohui; Guo, Shuangjian The Hom-Long dimodule category and nonlinear equations. (English) Zbl 1494.81010 Electron Res. Arch. 30, No. 1, 362-381 (2022). MSC: 81R10 18M15 16D90 16T25 PDF BibTeX XML Cite \textit{S. Wang} et al., Electron Res. Arch. 30, No. 1, 362--381 (2022; Zbl 1494.81010) Full Text: DOI arXiv
Koch, Alan Abelian maps, brace blocks, and solutions to the Yang-Baxter equation. (English) Zbl 1498.16043 J. Pure Appl. Algebra 226, No. 9, Article ID 107047, 15 p. (2022). Reviewer: Paola Stefanelli (Lecce) MSC: 16T25 20N99 PDF BibTeX XML Cite \textit{A. Koch}, J. Pure Appl. Algebra 226, No. 9, Article ID 107047, 15 p. (2022; Zbl 1498.16043) Full Text: DOI arXiv
Rump, Wolfgang Almost simple braces and primitive solutions to the Yang-Baxter equation. (English) Zbl 07503705 J. Algebra 601, 72-86 (2022). MSC: 16T25 20B15 81R50 PDF BibTeX XML Cite \textit{W. Rump}, J. Algebra 601, 72--86 (2022; Zbl 07503705) Full Text: DOI
Castelli, Marco; Mazzotta, Marzia; Stefanelli, Paola Simplicity of indecomposable set-theoretic solutions of the Yang-Baxter equation. (English) Zbl 07502660 Forum Math. 34, No. 2, 531-546 (2022). MSC: 16T25 81R50 20N02 20E22 PDF BibTeX XML Cite \textit{M. Castelli} et al., Forum Math. 34, No. 2, 531--546 (2022; Zbl 07502660) Full Text: DOI arXiv
Rump, Wolfgang Uniconnected solutions to the Yang-Baxter equation arising from self-maps of groups. (English) Zbl 1487.81111 Can. Math. Bull. 65, No. 1, 225-233 (2022). MSC: 81R50 16T25 20L05 PDF BibTeX XML Cite \textit{W. Rump}, Can. Math. Bull. 65, No. 1, 225--233 (2022; Zbl 1487.81111) Full Text: DOI
Cedó, F.; Okniński, J. New simple solutions of the Yang-Baxter equation and solutions associated to simple left braces. (English) Zbl 1495.16031 J. Algebra 600, 125-151 (2022). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T25 20B15 20F16 PDF BibTeX XML Cite \textit{F. Cedó} and \textit{J. Okniński}, J. Algebra 600, 125--151 (2022; Zbl 1495.16031) Full Text: DOI arXiv
Kumar, Ashim; Cardoso, João R.; Singh, Gurjinder Explicit solutions of the singular Yang-Baxter-like matrix equation and their numerical computation. (English) Zbl 07493759 Mediterr. J. Math. 19, No. 2, Paper No. 85, 19 p. (2022). MSC: 15A24 15A18 15A09 16T25 65F45 PDF BibTeX XML Cite \textit{A. Kumar} et al., Mediterr. J. Math. 19, No. 2, Paper No. 85, 19 p. (2022; Zbl 07493759) Full Text: DOI arXiv
Acri, E.; Bonatto, M. Skew braces of size \(p^2 q\). II: Non-abelian type. (English) Zbl 1495.16029 J. Algebra Appl. 21, No. 3, Article ID 2250062, 61 p. (2022). Reviewer: Cindy Tsang (Tokyo) MSC: 16T25 20B35 81R50 PDF BibTeX XML Cite \textit{E. Acri} and \textit{M. Bonatto}, J. Algebra Appl. 21, No. 3, Article ID 2250062, 61 p. (2022; Zbl 1495.16029) Full Text: DOI arXiv
Liu, Linlin; Wang, Shuanhong; Shi, Guodong; Guo, Zhitao Infinitesimal \(H\)-pseudobialgebra and associative pseudo-Yang-Baxter equation. (English) Zbl 1502.16034 Commun. Algebra 50, No. 3, 1071-1091 (2022). Reviewer: Yang Shilin (Beijing) MSC: 16T05 16T25 17B62 PDF BibTeX XML Cite \textit{L. Liu} et al., Commun. Algebra 50, No. 3, 1071--1091 (2022; Zbl 1502.16034) Full Text: DOI
Bardakov, Valeriy; Nasybullov, Timur; Singh, Mahender General constructions of biquandles and their symmetries. (English) Zbl 1485.57012 J. Pure Appl. Algebra 226, No. 7, Article ID 106936, 40 p. (2022). Reviewer: Leandro Vendramin (Buenos Aires) MSC: 57K12 57K10 20N05 16T25 PDF BibTeX XML Cite \textit{V. Bardakov} et al., J. Pure Appl. Algebra 226, No. 7, Article ID 106936, 40 p. (2022; Zbl 1485.57012) Full Text: DOI arXiv
Dinčić, Nebojša Č.; Djordjević, Bogdan D. On the intrinsic structure of the solution set to the Yang-Baxter-like matrix equation. (English) Zbl 1487.15016 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 73, 24 p. (2022). Reviewer: Igor Korepanov (Moskva) MSC: 15A24 47H10 15A09 15A10 15A16 16T25 PDF BibTeX XML Cite \textit{N. Č. Dinčić} and \textit{B. D. Djordjević}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 73, 24 p. (2022; Zbl 1487.15016) Full Text: DOI
Bardakov, Valeriy G.; Gubarev, Vsevolod Rota-Baxter groups, skew left braces, and the Yang-Baxter equation. (English) Zbl 1492.17019 J. Algebra 596, 328-351 (2022). Reviewer: Cindy Tsang (Tokyo) MSC: 17B38 16T25 PDF BibTeX XML Cite \textit{V. G. Bardakov} and \textit{V. Gubarev}, J. Algebra 596, 328--351 (2022; Zbl 1492.17019) Full Text: DOI arXiv
Bardakov, Valeriy G.; Neshchadim, Mikhail V.; Yadav, Manoj K. On \(\lambda \)-homomorphic skew braces. (English) Zbl 1489.16037 J. Pure Appl. Algebra 226, No. 6, Article ID 106961, 37 p. (2022). Reviewer: Leandro Vendramin (Buenos Aires) MSC: 16T25 81R50 PDF BibTeX XML Cite \textit{V. G. Bardakov} et al., J. Pure Appl. Algebra 226, No. 6, Article ID 106961, 37 p. (2022; Zbl 1489.16037) Full Text: DOI arXiv
Guo, Li; Gustavson, Richard; Li, Yunnan An algebraic study of Volterra integral equations and their operator linearity. (English) Zbl 1489.16046 J. Algebra 595, 398-433 (2022). Reviewer: Loïc Foissy (Calais) MSC: 16W99 12H05 45N05 17B38 45D05 45P05 16S10 05C05 PDF BibTeX XML Cite \textit{L. Guo} et al., J. Algebra 595, 398--433 (2022; Zbl 1489.16046) Full Text: DOI arXiv
Rump, Wolfgang Degenerate involutive set-theoretic solutions to the Yang-Baxter equation. (English) Zbl 07420023 J. Algebra 590, 293-312 (2022). Reviewer: Leandro Vendramin (Buenos Aires) MSC: 16T25 17D99 81R50 PDF BibTeX XML Cite \textit{W. Rump}, J. Algebra 590, 293--312 (2022; Zbl 07420023) Full Text: DOI
Oner, Tahsin; Katican, Tugce Interval Sheffer stroke basic algebras and Yang-Baxter equation. (English) Zbl 1514.06002 Appl. Math. Nonlinear Sci. 6, No. 1, 347-358 (2021). MSC: 06D35 03G25 16T25 PDF BibTeX XML Cite \textit{T. Oner} and \textit{T. Katican}, Appl. Math. Nonlinear Sci. 6, No. 1, 347--358 (2021; Zbl 1514.06002) Full Text: DOI
Doikou, Anastasia Set-theoretic Yang-Baxter equation, braces and Drinfeld twists. (English) Zbl 07654521 J. Phys. A, Math. Theor. 54, No. 41, Article ID 415201, 21 p. (2021). MSC: 16T25 81R50 PDF BibTeX XML Cite \textit{A. Doikou}, J. Phys. A, Math. Theor. 54, No. 41, Article ID 415201, 21 p. (2021; Zbl 07654521) Full Text: DOI arXiv
Pozsgay, Balázs A Yang-Baxter integrable cellular automaton with a four site update rule. (English) Zbl 07654348 J. Phys. A, Math. Theor. 54, No. 38, Article ID 384001, 19 p. (2021). MSC: 37B15 16T25 82B23 PDF BibTeX XML Cite \textit{B. Pozsgay}, J. Phys. A, Math. Theor. 54, No. 38, Article ID 384001, 19 p. (2021; Zbl 07654348) Full Text: DOI arXiv
Tong, Bin; Salberger, Olof; Hao, Kun; Korepin, Vladimir Shor-Movassagh chain leads to unusual integrable model. (English) Zbl 07654313 J. Phys. A, Math. Theor. 54, No. 39, Article ID 394002, 14 p. (2021). MSC: 82B20 82B23 81R12 PDF BibTeX XML Cite \textit{B. Tong} et al., J. Phys. A, Math. Theor. 54, No. 39, Article ID 394002, 14 p. (2021; Zbl 07654313) Full Text: DOI arXiv
Cao, Yusong; Wang, Jian; Qiao, Yi; Cao, Junpeng; Yang, Wen-Li Exact solution of a quantum spin chain with competing bulk and boundary terms. (English) Zbl 07652971 J. Phys. A, Math. Theor. 54, No. 31, Article ID 315202, 12 p. (2021). MSC: 82C23 82C22 PDF BibTeX XML Cite \textit{Y. Cao} et al., J. Phys. A, Math. Theor. 54, No. 31, Article ID 315202, 12 p. (2021; Zbl 07652971) Full Text: DOI
Links, Jon The Yang-Baxter paradox. (English) Zbl 07650735 J. Phys. A, Math. Theor. 54, No. 25, Article ID 254001, 16 p. (2021). MSC: 81R12 82B23 82B20 16T25 PDF BibTeX XML Cite \textit{J. Links}, J. Phys. A, Math. Theor. 54, No. 25, Article ID 254001, 16 p. (2021; Zbl 07650735) Full Text: DOI arXiv
Igonin, S.; Kolesov, V.; Konstantinou-Rizos, S.; Preobrazhenskaia, M. M. Tetrahedron maps, Yang-Baxter maps, and partial linearisations. (English) Zbl 1507.37089 J. Phys. A, Math. Theor. 54, No. 50, Article ID 505203, 28 p. (2021). MSC: 37J70 37K60 39A36 16T25 PDF BibTeX XML Cite \textit{S. Igonin} et al., J. Phys. A, Math. Theor. 54, No. 50, Article ID 505203, 28 p. (2021; Zbl 1507.37089) Full Text: DOI arXiv
Li, Pujin; He, Lijuan; Zhang, Xinyuan Braces whose additive group has a cyclic maximal subgroup. (Chinese. English summary) Zbl 1513.81086 Adv. Math., Beijing 50, No. 6, 907-916 (2021). MSC: 81R50 16T25 20D15 PDF BibTeX XML Cite \textit{P. Li} et al., Adv. Math., Beijing 50, No. 6, 907--916 (2021; Zbl 1513.81086) Full Text: DOI
Caprau, Carmen; Zepeda, Sarah On the virtual singular braid monoid. (English) Zbl 07512701 J. Knot Theory Ramifications 30, No. 14, Article ID 2141002, 26 p. (2021). MSC: 57K12 20F05 20F36 PDF BibTeX XML Cite \textit{C. Caprau} and \textit{S. Zepeda}, J. Knot Theory Ramifications 30, No. 14, Article ID 2141002, 26 p. (2021; Zbl 07512701) Full Text: DOI arXiv
Catino, Francesco; Colazzo, Ilaria; Stefanelli, Paola Set-theoretic solutions to the Yang-Baxter equation and generalized semi-braces. (English) Zbl 1500.16036 Forum Math. 33, No. 3, 757-772 (2021). Reviewer: J. N. Alonso Alvarez (Vigo) MSC: 16T25 81R50 16Y99 16N20 PDF BibTeX XML Cite \textit{F. Catino} et al., Forum Math. 33, No. 3, 757--772 (2021; Zbl 1500.16036) Full Text: DOI arXiv
Talalaev, Dmitry V. Tetrahedron equation: algebra, topology, and integrability. (English. Russian original) Zbl 1494.16037 Russ. Math. Surv. 76, No. 4, 685-721 (2021); translation from Usp. Mat. Nauk 76, No. 4, 139-176 (2021). MSC: 16T25 82B20 PDF BibTeX XML Cite \textit{D. V. Talalaev}, Russ. Math. Surv. 76, No. 4, 685--721 (2021; Zbl 1494.16037); translation from Usp. Mat. Nauk 76, No. 4, 139--176 (2021) Full Text: DOI
Jedlička, Přemysl; Pilitowska, Agata; Zamojska-Dzienio, Anna Indecomposable involutive solutions of the Yang-Baxter equation of multipermutational level 2 with abelian permutation group. (English) Zbl 1494.16036 Forum Math. 33, No. 5, 1083-1096 (2021). MSC: 16T25 20B35 PDF BibTeX XML Cite \textit{P. Jedlička} et al., Forum Math. 33, No. 5, 1083--1096 (2021; Zbl 1494.16036) Full Text: DOI arXiv
Przytycki, Józef H.; Wang, Xiao The second Yang-Baxter homology for the HOMFLYPT polynomial. (English) Zbl 1490.57011 J. Knot Theory Ramifications 30, No. 13, Article ID 2141014, 14 p. (2021). Reviewer: Leandro Vendramin (Buenos Aires) MSC: 57K18 16T25 PDF BibTeX XML Cite \textit{J. H. Przytycki} and \textit{X. Wang}, J. Knot Theory Ramifications 30, No. 13, Article ID 2141014, 14 p. (2021; Zbl 1490.57011) Full Text: DOI arXiv