Ishikawa, Katsumi; Tanaka, Kokoro Quandle colorings vs. biquandle colorings. (English) Zbl 07815890 Topology Appl. 345, Article ID 108832, 25 p. (2024). MSC: 57K10 57K12 57K45 PDFBibTeX XMLCite \textit{K. Ishikawa} and \textit{K. Tanaka}, Topology Appl. 345, Article ID 108832, 25 p. (2024; Zbl 07815890) Full Text: DOI arXiv
Bai, Chengming; Guo, Li; Sheng, Yunhe; Tang, Rong Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation. (English) Zbl 07808070 Math. Ann. 388, No. 3, 3127-3167 (2024). Reviewer: Lorenzo Stefanello (Pisa) MSC: 22E60 16T25 17B38 65L99 16T05 18M60 PDFBibTeX XMLCite \textit{C. Bai} et al., Math. Ann. 388, No. 3, 3127--3167 (2024; Zbl 07808070) Full Text: DOI arXiv
Bellingeri, Paolo; Chemin, Hugo; Lebed, Victoria Cactus groups, twin groups, and right-angled Artin groups. (English) Zbl 07805334 J. Algebr. Comb. 59, No. 1, 153-178 (2024). Reviewer: Egle Bettio (Venezia) MSC: 20F55 20F05 PDFBibTeX XMLCite \textit{P. Bellingeri} et al., J. Algebr. Comb. 59, No. 1, 153--178 (2024; Zbl 07805334) Full Text: DOI arXiv
Doikou, Anastasia; Rybołowicz, Bernard Near braces and \(p\)-deformed braided groups. (English) Zbl 07798501 Bull. Lond. Math. Soc. 56, No. 1, 124-139 (2024). MSC: 16T25 16Y99 81R12 PDFBibTeX XMLCite \textit{A. Doikou} and \textit{B. Rybołowicz}, Bull. Lond. Math. Soc. 56, No. 1, 124--139 (2024; Zbl 07798501) Full Text: DOI arXiv OA License
Jedlička, Přemysl; Pilitowska, Agata Skew left braces and 2-reductive solutions of the Yang-Baxter equation. (English) Zbl 07784724 J. Pure Appl. Algebra 228, No. 4, Article ID 107514, 25 p. (2024). MSC: 16T25 20B25 PDFBibTeX XMLCite \textit{P. Jedlička} and \textit{A. Pilitowska}, J. Pure Appl. Algebra 228, No. 4, Article ID 107514, 25 p. (2024; Zbl 07784724) Full Text: DOI arXiv
Trombetti, Marco The structure skew brace associated with a finite non-degenerate solution of the Yang-Baxter equation is finitely presented. (English) Zbl 07783130 Proc. Am. Math. Soc. 152, No. 2, 573-583 (2024). MSC: 16T25 PDFBibTeX XMLCite \textit{M. Trombetti}, Proc. Am. Math. Soc. 152, No. 2, 573--583 (2024; Zbl 07783130) Full Text: DOI arXiv
Letourmy, Thomas; Vendramin, Leandro Isoclinism of skew braces. (English) Zbl 07779852 Bull. Lond. Math. Soc. 55, No. 6, 2891-2906 (2023). Reviewer: J. N. Alonso Alvarez (Vigo) MSC: 16T25 17D99 PDFBibTeX XMLCite \textit{T. Letourmy} and \textit{L. Vendramin}, Bull. Lond. Math. Soc. 55, No. 6, 2891--2906 (2023; Zbl 07779852) Full Text: DOI arXiv
Dhanwani, Neeraj K.; Raundal, Hitesh; Singh, Mahender Presentations of Dehn quandles. (English) Zbl 1525.20044 J. Algebra 636, 207-247 (2023). MSC: 20M32 57K12 57K20 20F36 20N02 PDFBibTeX XMLCite \textit{N. K. Dhanwani} et al., J. Algebra 636, 207--247 (2023; Zbl 1525.20044) 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). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T20 16T25 17B37 PDFBibTeX XMLCite \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
Akita, Toshiyuki Embedding Alexander quandles into groups. (English) Zbl 1516.20140 J. Knot Theory Ramifications 32, No. 2, Article ID 2350011, 4 p. (2023). Reviewer: David Stanovsky (Praha) MSC: 20N02 57K12 PDFBibTeX XMLCite \textit{T. Akita}, J. Knot Theory Ramifications 32, No. 2, Article ID 2350011, 4 p. (2023; Zbl 1516.20140) Full Text: DOI arXiv
Stefanello, L.; Trappeniers, S. On bi-skew braces and brace blocks. (English) Zbl 1519.16028 J. Pure Appl. Algebra 227, No. 5, Article ID 107295, 22 p. (2023). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T25 20N99 81R50 PDFBibTeX XMLCite \textit{L. Stefanello} and \textit{S. Trappeniers}, J. Pure Appl. Algebra 227, No. 5, Article ID 107295, 22 p. (2023; Zbl 1519.16028) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{I. Colazzo} et al., J. Algebra 610, 409--462 (2022; Zbl 1511.16030) 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 PDFBibTeX XMLCite \textit{A. Doikou} et al., Lett. Math. Phys. 112, No. 4, Paper No. 78, 29 p. (2022; Zbl 1517.16028) 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 PDFBibTeX XMLCite \textit{M. Castelli} et al., J. Algebra Appl. 21, No. 8, Article ID 2250154, 22 p. (2022; Zbl 1507.16038) 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 PDFBibTeX XMLCite \textit{V. Lebed} and \textit{L. Vendramin}, J. Algebra 607, 360--380 (2022; Zbl 1504.16059) Full Text: DOI arXiv
Rump, Wolfgang Structure groups of \(L\)-algebras and Hurwitz action. (English) Zbl 1497.57008 Geom. Dedicata 216, No. 4, Paper No. 37, 24 p. (2022). Reviewer: Leandro Vendramin (Buenos Aires) MSC: 57K10 20F36 06D15 PDFBibTeX XMLCite \textit{W. Rump}, Geom. Dedicata 216, No. 4, Paper No. 37, 24 p. (2022; Zbl 1497.57008) Full Text: DOI
Akgün, Ö.; Mereb, M.; Vendramin, L. Enumeration of set-theoretic solutions to the Yang-Baxter equation. (English) Zbl 1504.16058 Math. Comput. 91, No. 335, 1469-1481 (2022). Reviewer: Kenny De Commer (Bruxelles) MSC: 16T25 81R50 PDFBibTeX XMLCite \textit{Ö. Akgün} et al., Math. Comput. 91, No. 335, 1469--1481 (2022; Zbl 1504.16058) Full Text: DOI arXiv
Gateva-Ivanova, Tatiana A combinatorial approach to noninvolutive set-theoretic solutions of the Yang-Baxter equation. (English) Zbl 1491.16035 Publ. Mat., Barc. 65, No. 2, 747-808 (2021). MSC: 16T25 81R50 17B37 16S36 PDFBibTeX XMLCite \textit{T. Gateva-Ivanova}, Publ. Mat., Barc. 65, No. 2, 747--808 (2021; Zbl 1491.16035) Full Text: DOI arXiv
Cedó, Ferran; Jespers, Eric; Verwimp, Charlotte Structure monoids of set-theoretic solutions of the Yang-Baxter equation. (English) Zbl 1487.16035 Publ. Mat., Barc. 65, No. 2, 499-528 (2021); corrigendum and addendum ibid. 68, No. 1, 241-250 (2024). Reviewer: Ilaria Colazzo (Exeter) MSC: 16T25 20M05 PDFBibTeX XMLCite \textit{F. Cedó} et al., Publ. Mat., Barc. 65, No. 2, 499--528 (2021; Zbl 1487.16035) Full Text: DOI arXiv
Preobrazhenskaya, M. M.; Talalaev, D. V. Group extensions, fiber bundles, and a parametric Yang-Baxter equation. (English. Russian original) Zbl 1475.16037 Theor. Math. Phys. 207, No. 2, 670-677 (2021); translation from Teor. Mat. Fiz. 207, No. 2, 310-318 (2021). MSC: 16T25 20E99 PDFBibTeX XMLCite \textit{M. M. Preobrazhenskaya} and \textit{D. V. Talalaev}, Theor. Math. Phys. 207, No. 2, 670--677 (2021; Zbl 1475.16037); translation from Teor. Mat. Fiz. 207, No. 2, 310--318 (2021) Full Text: DOI
Jespers, E.; Kubat, Ł.; Van Antwerpen, A.; Vendramin, L. Radical and weight of skew braces and their applications to structure groups of solutions of the Yang-Baxter equation. (English) Zbl 1473.16028 Adv. Math. 385, Article ID 107767, 20 p. (2021). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T25 16N80 PDFBibTeX XMLCite \textit{E. Jespers} et al., Adv. Math. 385, Article ID 107767, 20 p. (2021; Zbl 1473.16028) Full Text: DOI arXiv
Cedó, Ferran; Jespers, Eric; Okniński, Jan Set-theoretic solutions of the Yang-Baxter equation, associated quadratic algebras and the minimality condition. (English) Zbl 1466.16034 Rev. Mat. Complut. 34, No. 1, 99-129 (2021). Reviewer: Cristian Vay (Córdoba) MSC: 16T25 16S15 16S36 16S37 16W50 16P90 81R50 PDFBibTeX XMLCite \textit{F. Cedó} et al., Rev. Mat. Complut. 34, No. 1, 99--129 (2021; Zbl 1466.16034) Full Text: DOI arXiv
Bonatto, Marco; Kinyon, Michael; Stanovský, David; Vojtěchovský, Petr Involutive Latin solutions of the Yang-Baxter equation. (English) Zbl 1460.16036 J. Algebra 565, 128-159 (2021). Reviewer: J. N. Alonso Alvarez (Vigo) MSC: 16T25 20N05 PDFBibTeX XMLCite \textit{M. Bonatto} et al., J. Algebra 565, 128--159 (2021; Zbl 1460.16036) Full Text: DOI arXiv
Lebed, Victoria; Mortier, Arnaud Abelian quandles and quandles with abelian structure group. (English) Zbl 1473.20069 J. Pure Appl. Algebra 225, No. 1, Article ID 106474, 21 p. (2021). Reviewer: Agata Pilitowska (Warszawa) MSC: 20N02 20F05 20E22 20K01 55N35 57K12 16T25 PDFBibTeX XMLCite \textit{V. Lebed} and \textit{A. Mortier}, J. Pure Appl. Algebra 225, No. 1, Article ID 106474, 21 p. (2021; Zbl 1473.20069) Full Text: DOI arXiv
Jedlička, Přemysl; Pilitowska, Agata; Zamojska-Dzienio, Anna The construction of multipermutation solutions of the Yang-Baxter equation of level 2. (English) Zbl 1458.16041 J. Comb. Theory, Ser. A 176, Article ID 105295, 35 p. (2020). Reviewer: Anna Romanowska (Warszawa) MSC: 16T25 PDFBibTeX XMLCite \textit{P. Jedlička} et al., J. Comb. Theory, Ser. A 176, Article ID 105295, 35 p. (2020; Zbl 1458.16041) Full Text: DOI arXiv
Jedlička, Přemysl; Pilitowska, Agata; Zamojska-Dzienio, Anna Distributive biracks and solutions of the Yang-Baxter equation. (English) Zbl 1464.16030 Int. J. Algebra Comput. 30, No. 3, 667-683 (2020). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T25 20F18 20B35 08A30 PDFBibTeX XMLCite \textit{P. Jedlička} et al., Int. J. Algebra Comput. 30, No. 3, 667--683 (2020; Zbl 1464.16030) Full Text: DOI arXiv
Acri, E.; Lutowski, Rafal; Vendramin, L. Retractability of solutions to the Yang-Baxter equation and \(p\)-nilpotency of skew braces. (English) Zbl 1436.16044 Int. J. Algebra Comput. 30, No. 1, 91-115 (2020). Reviewer: Wolfgang Rump (Stuttgart) MSC: 16T25 PDFBibTeX XMLCite \textit{E. Acri} et al., Int. J. Algebra Comput. 30, No. 1, 91--115 (2020; Zbl 1436.16044) Full Text: DOI arXiv
Jespers, Eric; Kubat, Łukasz; van Antwerpen, Arne The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang-Baxter equation. (English) Zbl 1432.16032 Trans. Am. Math. Soc. 372, No. 10, 7191-7223 (2019); corrigendum ibid. 373, No. 6, 4517-4521 (2020). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16T25 16R20 16N60 16S36 16S37 PDFBibTeX XMLCite \textit{E. Jespers} et al., Trans. Am. Math. Soc. 372, No. 10, 7191--7223 (2019; Zbl 1432.16032) Full Text: DOI arXiv