Borovik, Viktoriia; Breiding, Paul A short proof for the parameter continuation theorem. (English) Zbl 07923143 J. Symb. Comput. 127, Article ID 102373, 8 p. (2025). MSC: 13Pxx 68Wxx 65Hxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Villard, Gilles Bivariate polynomial reduction and elimination ideal over finite fields. (English) Zbl 07923137 J. Symb. Comput. 127, Article ID 102367, 24 p. (2025). MSC: 68W30 11Y16 13P10 × Cite Format Result Cite Review PDF Full Text: DOI
Hahn, Marvin Anas; Nebe, Gabriele; Stanojkovski, Mima; Sturmfels, Bernd Subspaces fixed by a nilpotent matrix. (English) Zbl 07948608 Orbita Math. 1, No. 1, 1-15 (2024). MSC: 14M15 13P10 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cid-Ruiz, Yairon; Smirnov, Ilya Effective generic freeness and applications to local cohomology. (English) Zbl 07947507 J. Lond. Math. Soc., II. Ser. 110, No. 4, Article ID e12995, 31 p. (2024). MSC: 13P10 13D45 13C10 13B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duran, Kevin; Pitones, Yuriko Generalization of the division algorithm and Gröbner bases. (Generalización del algoritmo de la división y bases de Gröbner.) (Spanish) Zbl 07947438 Misc. Mat. 79, 11-22 (2024). MSC: 13P10 × Cite Format Result Cite Review PDF Full Text: DOI
Rhoades, Brendon Increasing subsequences, matrix loci and Viennot shadows. (English) Zbl 07946592 Forum Math. Sigma 12, Paper No. e97, 23 p. (2024). MSC: 05E10 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caviglia, Giulio; De Stefani, Alessandro The Eisenbud-Green-Harris conjecture for fast-growing degree sequences. (English) Zbl 07944265 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 25, No. 3, 1753-1762 (2024). MSC: 13D02 13A02 13A15 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bokut, L. A.; Chen, Y. Gröbner-Shirshov bases for strict monoidal categories. (English) Zbl 07943276 Southeast Asian Bull. Math. 48, No. 5, 635-650 (2024). MSC: 16S15 13P10 20M05 × Cite Format Result Cite Review PDF Full Text: Link
Steiner, Matthias Johann The complexity of algebraic algorithms for LWE. (English) Zbl 07943271 Joye, Marc (ed.) et al., Advances in cryptology – EUROCRYPT 2024. 43rd annual international conference on the theory and applications of cryptographic techniques, Zurich, Switzerland, May 26–30, 2024. Proceedings. Part III. Cham: Springer. Lect. Notes Comput. Sci. 14653, 375-403 (2024). MSC: 94A60 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ishihara, Yuki Primary decomposition of symmetric ideals. (English) Zbl 07943256 Comment. Math. Univ. St. Pauli 72, No. 1, 43-56 (2024). MSC: 13P10 68W30 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Teramoto, Hiroshi; Nabeshima, Katsusuke Comprehensive standard system for generalized mixed module and its application to singularity theory. (English) Zbl 07943147 J. Algebra Appl. 23, No. 13, Article ID 2450221, 32 p. (2024). MSC: 13P10 68W30 14B05 × Cite Format Result Cite Review PDF Full Text: DOI
Veer, Dharm On the linearity of the syzygies of Hibi rings. (English) Zbl 07941634 J. Algebra Appl. 23, No. 12, Article ID 2450208, 29 p. (2024). MSC: 05E40 13C05 13D02 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kosta, Dimitra; Thoma, Apostolos; Vladoiu, Marius The strongly robust simplicial complex of monomial curves. (English) Zbl 07941562 J. Algebr. Comb. 60, No. 3, 701-721 (2024). MSC: 05E45 13F65 13P10 14M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Makhlin, Igor Chain-order polytopes: toric degenerations, Young tableaux and monomial bases. (English) Zbl 07940243 Algebr. Comb. 7, No. 5, 1525-1550 (2024). Reviewer: Fatemeh Mohammadi (Leuven) MSC: 14M15 17B10 14M25 52B20 14D06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mourrain, Bernard Isolated singularities, inverse systems and the punctual Hilbert scheme. (English) Zbl 07936206 Iarrobino, Anthony (ed.) et al., Deformation of Artinian algebras and Jordan type. AMS-EMS-SMF special session, Université Grenoble Alpes, Grenoble, France, July 18–22, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 805, 205-223 (2024). MSC: 14B05 14B12 14Q99 13H15 13P10 13P15 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Blažek, Jiří; Pech, Pavel Orthocentral quadrilaterals and their properties. (English) Zbl 07931446 J. Geom. 115, No. 3, Paper No. 35, 11 p. (2024). Reviewer: Cătălin Barbu (Bačau) MSC: 51M04 × Cite Format Result Cite Review PDF Full Text: DOI
Hibi, Takayuki; Moradi, Somayeh Ideals with componentwise linear powers. (English) Zbl 07926154 Can. Math. Bull. 67, No. 3, 833-841 (2024). MSC: 13A02 13P10 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fajardo, William; Lezama, Oswaldo; Payares, Carlos; Reyes, Armando; Rodríguez, César Introduction to algebraic analysis on Ore extensions. (English) Zbl 07925331 Martsinkovsky, Alexander (ed.), Functor categories, model theory, algebraic analysis and constructive methods. FCMTCCT2 2022, Almería, Spain, July 11–15. Invited and selected contributions. Singapore: Springer. Springer Proc. Math. Stat. 450, 45-116 (2024). MSC: 16E05 16S36 16Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Jaramillo-Velez, Delio; Seccia, Lisa Connected domination in graphs and \(v\)-numbers of binomial edge ideals. (English) Zbl 07924863 Collect. Math. 75, No. 3, 771-793 (2024). MSC: 05E40 13P10 13P25 05C69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hartanto, Ari Dwi; Ohara, Katsuyoshi Computing Gröbner bases on the Weyl algebras over fields with valuations. (English) Zbl 07920107 J. Algebra 659, 902-926 (2024). MSC: 68W30 13P10 × Cite Format Result Cite Review PDF Full Text: DOI
Dehghani Darmian, Mahdi Improvement of an incremental signature-based comprehensive Gröbner system algorithm. (English) Zbl 07920028 Math. Comput. Sci. 18, No. 2, Paper No. 12, 14 p. (2024). MSC: 13P10 13P25 15A06 × Cite Format Result Cite Review PDF Full Text: DOI
Jovanović, Milica; Prvulović, Branislav I. On the mod 2 cohomology algebra of oriented Grassmannians. (English) Zbl 07919891 J. Homotopy Relat. Struct. 19, No. 3, 379-396 (2024). MSC: 55R40 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fujimura, Masayo; Rainio, Oona; Vourinen, Matti Collinearity of points on Poincaré unit disk and Riemann sphere. (English) Zbl 07915738 Publ. Math. Debr. 105, No. 1-2, 141-169 (2024). MSC: 51M10 51M09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iglesias, Rodrigo; Sáenz-de-Cabezón, Eduardo Cellular structure of the Pommaret-Seiler resolution for quasi-stable ideals. (English) Zbl 07911008 Appl. Algebra Eng. Commun. Comput. 35, No. 5, 703-724 (2024). MSC: 13P10 13F55 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hashemi, Amir; Alizadeh, Benyamin M.; Parnian, Hossein; Seiler, Werner M. A single exponential time algorithm for homogeneous regular sequence tests. (English) Zbl 07910539 J. Algebra Appl. 23, No. 9, Article ID 2450145, 20 p. (2024). Reviewer: Mehrdad Nasernejad (Lens) MSC: 13P10 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Şahin, Nil On the monotonicity of the Hilbert functions for 4-generated pseudo-symmetric monomial curves. (English) Zbl 07909530 Commun. Algebra 52, No. 11, 4871-4895 (2024). MSC: 13H10 14H20 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Breiding, Paul; Duff, Timothy; Gustafsson, Lukas; Rydell, Felix; Shehu, Elima Line multiview ideals. (English) Zbl 07909485 Commun. Algebra 52, No. 10, 4204-4225 (2024). MSC: 13P10 68T45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Yi; Guo, Shuangjian Matching Rota-Baxter systems and Gröbner-Shirshov bases. (English) Zbl 07905879 Algebra Colloq. 31, No. 3, 389-406 (2024). MSC: 16W99 16T25 13B10 17D99 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Hongmiao Componentwise linearity under square-free Gröbner degenerations. (English) Zbl 07905770 J. Commut. Algebra 16, No. 3, 369-377 (2024). MSC: 13D07 13D10 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Bhayani, Snehal; Heikkilä, Janne; Kukelova, Zuzana Sparse resultant-based minimal solvers in computer vision and their connection with the action matrix. (English) Zbl 07904660 J. Math. Imaging Vis. 66, No. 3, 335-360 (2024). MSC: 68T45 65H10 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lu, Dong; Wang, Dingkang; Xiao, Fanghui On minor left prime factorization problem for multivariate polynomial matrices. (English) Zbl 07903358 J. Syst. Sci. Complex. 37, No. 3, 1295-1307 (2024). MSC: 13-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
DiPasquale, Michael; Yuan, Beihui Bivariate splines on a triangulation with a single totally interior edge. (English) Zbl 07902821 SIAM J. Appl. Algebra Geom. 8, No. 3, 686-712 (2024). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 41A15 13P25 13P10 11P21 52C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Clausel, Marianne; Diehl, Joscha; Mignot, Raphael; Schmitz, Leonard; Sugiura, Nozomi; Usevich, Konstantin The barycenter in free nilpotent Lie groups and its application to iterated-integrals signatures. (English) Zbl 1545.60125 SIAM J. Appl. Algebra Geom. 8, No. 3, 519-552 (2024). MSC: 60L10 22E25 60J65 13P10 15A69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shen, Yi-Huang; Zhu, Guangjun Powers of generalized binomial edge ideals of path graphs. (English) Zbl 07902406 Int. J. Algebra Comput. 34, No. 5, 779-806 (2024). Reviewer: Tongsuo Wu (Shanghai) MSC: 13C15 13P10 05E40 13F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stoeckl, Kurt Koszul operads governing props and wheeled props. (English) Zbl 07900773 Adv. Math. 454, Article ID 109869, 80 p. (2024). MSC: 18Dxx 55Pxx 18Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burr, Michael; Clarke, Oliver; Duff, Timothy; Leaman, Jackson; Nichols, Nathan; Walker, Elise SubalgebraBases in Macaulay2. (English) Zbl 07898682 J. Softw. Algebra Geom. 14, 97-109 (2024). MSC: 13-04 13P10 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caviglia, Giulio; De Stefani, Alessandro A criterion for sequential Cohen-Macaulayness. (English) Zbl 07895596 Arch. Math. 123, No. 2, 137-145 (2024). Reviewer: Kamran Divaani-Aazar (Tehran) MSC: 13D45 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le, Dinh Van; Römer, Tim Equivariant lattice bases. (English) Zbl 07891371 Trans. Am. Math. Soc. 377, No. 7, 4865-4893 (2024). MSC: 05E18 52C07 20B30 13P10 14M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Niu, Lina; Tuniyaz, Rabigul Structural properties of the quantized matrix algebra \(D_q (n)\) established by means of Gröbner-Shirshov basis theory. (English) Zbl 07888149 J. Algebra Appl. 23, No. 8, Article ID 2550057, 15 p. (2024). MSC: 16Z10 17B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shahoseini, Ehsan; Dastbasteh, Reza; Dinh, Hai Q.; Mousavi, Hamed On the structure of ideals in a family of skew polynomial rings. (English) Zbl 07888133 J. Algebra Appl. 23, No. 8, Article ID 2450174, 40 p. (2024). MSC: 16S36 13P10 94B05 16N20 16N40 × Cite Format Result Cite Review PDF Full Text: DOI
Hegedüs, Gábor; Rónyai, Lajos Gröbner bases for increasing sequences. (English) Zbl 1542.13023 Electron. J. Comb. 31, No. 2, Research Paper P2.54, 14 p. (2024). Reviewer: Ryota Kuroki (Tōkyō) MSC: 13P10 05B25 05D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Scantamburlo, Erica; Gronchi, Giovanni F.; Baù, Giulio Orbit determination from one position vector and a very short arc of optical observations. (English) Zbl 07881860 Celest. Mech. Dyn. Astron. 136, No. 4, Paper No. 30, 21 p. (2024). MSC: 70F17 70F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath Unboundedness of the first Betti number and the last Betti number of numerical semigroups generated by concatenation. (English) Zbl 1542.13008 Indian J. Pure Appl. Math. 55, No. 2, 649-662 (2024). Reviewer: Pedro A. García Sánchez (Granada) MSC: 13C40 13P10 20M14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Darmain, Mahdi Dehghani; Hashemi, Amir A parametric \(\mathrm{F}_4\) algorithm. (English) Zbl 1543.13022 Iran. J. Math. Sci. Inform. 19, No. 1, 117-133 (2024). Reviewer: Mohammad Javad Nikmehr (Tehran) MSC: 13P10 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Dotsenko, Vladimir; García-Martínez, Xabier A characterisation of Lie algebras using ideals and subalgebras. (English) Zbl 07879085 Bull. Lond. Math. Soc. 56, No. 7, 2408-2423 (2024). MSC: 17A30 17A61 08B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cummings, Mike; Van Tuyl, Adam The GeometricDecomposability package for Macaulay2. (English) Zbl 1544.13038 J. Softw. Algebra Geom. 14, 41-50 (2024). Reviewer: Rodrigo San-José (Valladolid) MSC: 13P10 14M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le Dréau, Yann; Sebag, Julien Arc scheme and higher differential forms. (English) Zbl 07877929 Osaka J. Math. 61, No. 3, 381-390 (2024). MSC: 13P10 14B05 14E15 14E18 14Q05 14Q15 14Q20 32S05 × Cite Format Result Cite Review PDF Full Text: Link
Celikbas, Ela; Dufresne, Emilie; Fouli, Louiza; Gorla, Elisa; Lin, Kuei-Nuan; Polini, Claudia; Swanson, Irena Rees algebras of sparse determinantal ideals. (English) Zbl 1545.13006 Trans. Am. Math. Soc. 377, No. 4, 2317-2333 (2024). Reviewer: Tongsuo Wu (Shanghai) MSC: 13A30 13C40 14M12 13P10 05E40 13F50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alexandr, Yulia; Duarte, Eliana; Vill, Julian Decomposable context-specific models. (English) Zbl 07871665 SIAM J. Appl. Algebra Geom. 8, No. 2, 363-393 (2024). MSC: 62R01 62A09 13P10 13P25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schost, Éric; St-Pierre, Catherine Newton iteration for lexicographic Gröbner bases in two variables. (English) Zbl 07868231 J. Algebra 653, 325-377 (2024). MSC: 68Wxx 13Pxx 65Hxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colović, Uroš A.; Prvulović, Branislav I. Gröbner bases in the mod 2 cohomology of oriented Grassmann manifolds \(\widetilde{G}_{2^{t,3}}\). (English) Zbl 07859880 Math. Slovaca 74, No. 1, 195-208 (2024). Reviewer: Marek Golasiński (Olsztyn) MSC: 55R40 13P10 55S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Truong, Tuyen Trung Bounded birationality and isomorphism problems are computable. (English) Zbl 07857703 Beitr. Algebra Geom. 65, No. 1, 129-155 (2024). MSC: 14Exx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Katsabekis, Anargyros Cohen-Macaulayness of associated graded rings of Gorenstein monomial curves. (English) Zbl 07854095 J. Pure Appl. Algebra 228, No. 10, Article ID 107706, 15 p. (2024). Reviewer: Nil Şahin (Ankara) MSC: 13H10 13A30 13P10 14H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chirivì, Rocco; Fang, Xin; Littelmann, Peter On normal Seshadri stratifications. (English) Zbl 07852683 Pure Appl. Math. Q. 20, No. 3, 1097-1139 (2024). MSC: 14D06 13P10 14M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Verron, Thibaut On the computation of Gröbner bases for matrix-weighted homogeneous systems. (English) Zbl 07852640 J. Symb. Comput. 125, Article ID 102327, 23 p. (2024). Reviewer: Christoph Koutschan (Linz) MSC: 13P10 68W01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hofstadler, Clemens; Verron, Thibaut Short proofs of ideal membership. (English) Zbl 1540.68330 J. Symb. Comput. 125, Article ID 102325, 19 p. (2024). MSC: 68W30 13P10 68Q17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peña, Juan Manuel; Sauer, Tomas Stabilized recovery and model reduction for multivariate exponential polynomials. (English) Zbl 1539.13060 J. Symb. Comput. 125, Article ID 102313, 21 p. (2024). Reviewer: Amir Hashemi (Isfahan) MSC: 13P10 65T40 × Cite Format Result Cite Review PDF Full Text: DOI
Drensky, Vesselin; Ismailov, Nurlan; Mustafa, Manat; Zhakhayev, Bekzat Free bicommutative superalgebras. (English) Zbl 07850907 J. Algebra 652, 158-187 (2024). MSC: 17A70 17A30 17A50 17A61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dimitrova, Elena S.; Fredrickson, Cameron H.; Rondoni, Nicholas A.; Stigler, Brandilyn; Veliz-Cuba, Alan Algebraic experimental design: theory and computation. (English) Zbl 07849886 SIAM J. Appl. Algebra Geom. 8, No. 2, 284-301 (2024). MSC: 13P25 11T06 13P10 92C42 37N25 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Øygarden, Morten; Felke, Patrick; Raddum, Håvard Analysis of multivariate encryption schemes: application to Dob and \(C^*\). (English) Zbl 1539.94026 J. Cryptology 37, No. 3, Paper No. 20, 50 p. (2024). MSC: 94A60 94A62 13P10 × Cite Format Result Cite Review PDF Full Text: DOI
Desoeuvres, Aurélien; Iosif, Alexandru; Lüders, Christoph; Radulescu, Ovidiu; Rahkooy, Hamid; Seiß, Matthias; Sturm, Thomas A computational approach to polynomial conservation laws. (English) Zbl 1541.34003 SIAM J. Appl. Dyn. Syst. 23, No. 1, 813-854 (2024). MSC: 34A05 34C14 13P10 34-04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bai, Yu Xiu; Bokut, Leonid A.; Chen, Yu Qun; Zhang, Ze Rui Centroid Hom-associative algebras and centroid Hom-Lie algebras. (English) Zbl 07837628 Acta Math. Sin., Engl. Ser. 40, No. 4, 935-961 (2024). Reviewer: Rosendo García (Guanajuato) MSC: 17D30 17A61 17A30 17B61 × Cite Format Result Cite Review PDF Full Text: DOI
Saha, Joydip; Sengupta, Indranath; Srivastava, Pranjal Join of affine semigroups. (English) Zbl 1536.13028 Commun. Algebra 52, No. 4, 1560-1569 (2024). MSC: 13H10 13P10 13P20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Patanker, Nupur; Singh, Sanjay Kumar Quaternary affine variety codes over a Klein-like curve. (English) Zbl 07833750 Indian J. Pure Appl. Math. 55, No. 1, 1-14 (2024). MSC: 94B27 13P10 11T71 × Cite Format Result Cite Review PDF Full Text: DOI
Qiu, Huizhen; Zheng, Shanghua; Dan, Yangfan Construction of free quasi-idempotent differential Rota-Baxter algebras by Gröbner-Shirshov bases. (English) Zbl 07833349 Commun. Algebra 52, No. 6, 2404-2421 (2024). Reviewer: Xiangui Zhao (Huizhou) MSC: 16W99 16S10 13P10 16Z10 12H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wei, Xiaoqi Depth and Stanley depth of two special classes of monomial ideals. (English) Zbl 1539.13033 Bull. Korean Math. Soc. 61, No. 1, 147-160 (2024). Reviewer: Yi-Huang Shen (Hefei) MSC: 13C15 13P10 13F20 13F55 × Cite Format Result Cite Review PDF Full Text: DOI
Cantuba, Rafael Reno S. Lie structure of the Heisenberg-Weyl algebra. (English) Zbl 07822027 Int. Electron. J. Algebra 35, 32-60 (2024). MSC: 17B60 16Z10 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cummings, Mike; Da Silva, Sergio; Harada, Megumi; Rajchgot, Jenna Gröbner geometry for regular nilpotent Hessenberg Schubert cells. (English) Zbl 1535.14121 J. Pure Appl. Algebra 228, No. 7, Article ID 107648, 22 p. (2024). Reviewer: Matilde Maccan (Rennes) MSC: 14M17 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Escobar, Laura; Fink, Alex; Rajchgot, Jenna; Woo, Alexander Gröbner bases, symmetric matrices, and type C Kazhdan-Lusztig varieties. (English) Zbl 1536.14040 J. Lond. Math. Soc., II. Ser. 109, No. 2, Article ID e12856, 49 p. (2024). Reviewer: Felipe Zaldívar (Ciudad de México) MSC: 14M15 14M12 14N15 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Juwei; Chen, Yuqun; Zhang, Zerui Free products of trialgebras. (English) Zbl 07809882 Algebra Colloq. 31, No. 1, 25-40 (2024). Reviewer: Peeter Normak (Tallinn) MSC: 17A60 17A61 16S15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ramkumar, Ritvik; Sammartano, Alessio On Rees algebras of 2-determinantal ideals. (English) Zbl 1539.13015 J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12821, 31 p. (2024). Reviewer: Marko Radovanović (Beograd) MSC: 13A30 13C40 05E40 13D10 13F55 13H10 13P10 14C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Jiahe; Kretschmer, Andreas Ideals of submaximal minors of sparse symmetric matrices. (English) Zbl 07808742 J. Pure Appl. Algebra 228, No. 6, Article ID 107595, 16 p. (2024). MSC: 13C40 13D02 13P10 14N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Onn, Shmuel; Thoma, Apostolos; Vladoiu, Marius Asymptotic behavior of Markov complexity. (English) Zbl 07808737 J. Pure Appl. Algebra 228, No. 6, Article ID 107589, 16 p. (2024). MSC: 13P10 05E40 14M25 15B36 62R01 × Cite Format Result Cite Review PDF Full Text: DOI
Agarwal, Sameer; Duff, Timothy; Lieblich, Max; Thomas, Rekha R. An atlas for the pinhole camera. (English) Zbl 1540.14118 Found. Comput. Math. 24, No. 1, 227-277 (2024). Reviewer: Francesca Cioffi (Napoli) MSC: 14Q15 13P10 13P25 68T45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vorozhtsov, Evgenii V.; Kiselev, Sergey P. An efficient method of finding new symplectic schemes for Hamiltonian mechanics problems with the aid of parametric Gröbner bases. (English) Zbl 07808001 J. Comput. Phys. 496, Article ID 112601, 38 p. (2024). MSC: 65Lxx 68Wxx 13Pxx × Cite Format Result Cite Review PDF Full Text: DOI
Katsabekis, Anargyros Projective closure of Gorenstein monomial curves and the Cohen-Macaulay property. (English) Zbl 1543.13019 Arch. Math. 122, No. 3, 273-283 (2024). Reviewer: Thanh Vu (Hà Nội) MSC: 13F65 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dhar, Manik; Dvir, Zeev; Lund, Ben Furstenberg sets in finite fields: explaining and improving the Ellenberg-Erman proof. (English) Zbl 1545.14029 Discrete Comput. Geom. 71, No. 2, 327-357 (2024). MSC: 14G15 42B25 52C17 05B25 51E20 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borovik, Viktoriia; Breiding, Paul; del Pino, Javier; Michałek, Mateusz; Zilberberg, Oded Khovanskii bases for semimixed systems of polynomial equations – approximating stationary nonlinear Newtonian dynamics. (English. French summary) Zbl 07800984 J. Math. Pures Appl. (9) 182, 195-222 (2024). MSC: 14Q99 14M25 13P10 14D06 14M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lairez, Pierre Axioms for a theory of signature bases. (English) Zbl 1531.13022 J. Symb. Comput. 123, Article ID 102275, 32 p. (2024). Reviewer: Amir Hashemi (Isfahan) MSC: 13P10 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Almousa, Ayah; Lin, Kuei-Nuan; Liske, Whitney Rees algebras of unit interval determinantal facet ideals. (English) Zbl 1534.13004 J. Pure Appl. Algebra 228, No. 5, Article ID 107601, 15 p. (2024). MSC: 13C40 13A30 13P10 13F50 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García-Marco, Ignacio; García-Sánchez, Pedro A.; Ojeda, Ignacio; Tatakis, Christos Universally free numerical semigroups. (English) Zbl 1535.20294 J. Pure Appl. Algebra 228, No. 5, Article ID 107551, 24 p. (2024). Reviewer: Grigori I. Zhitomirski (Herzliyya) MSC: 20M14 20M05 13F65 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mashurov, F. A.; Sartayev, B. K. Metabelian Lie and perm algebras. (English) Zbl 1544.17018 J. Algebra Appl. 23, No. 4, Article ID 2450065, 12 p. (2024). Reviewer: Ivan Kaygorodov (Covilhã) MSC: 17B01 17B35 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kara, Selvi; Lin, Kuei-Nuan; Castillo, Gabriel Sosa Multi-Rees algebras of strongly stable ideals. (English) Zbl 1545.13007 Collect. Math. 75, No. 1, 213-246 (2024). Reviewer: Tongsuo Wu (Shanghai) MSC: 13A30 13P10 05E40 13C05 13F55 05C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colović, Uroš A.; Prvulović, Branislav I. Cup-length of oriented Grassmann manifolds via Gröbner bases. (English) Zbl 1533.55020 J. Algebra 642, 256-285 (2024). Reviewer: José Calcines (La Laguna) MSC: 55R40 13P10 55M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pardo, Luis M. Exploring implications of trace (inversion) formula and Artin algebras in extremal combinatorics. (English) Zbl 1530.05195 Appl. Algebra Eng. Commun. Comput. 35, No. 1, 71-118 (2024). MSC: 05E16 05D05 13F20 13P10 × Cite Format Result Cite Review PDF Full Text: DOI
Nabeshima, Katsusuke Generic Gröbner basis of a parametric ideal and its application to a comprehensive Gröbner system. (English) Zbl 1530.13045 Appl. Algebra Eng. Commun. Comput. 35, No. 1, 55-70 (2024). Reviewer: Amir Hashemi (Isfahan) MSC: 13P10 68W30 12D10 × Cite Format Result Cite Review PDF Full Text: DOI
Aliasgari, Malihe; Panario, Daniel; Sadeghi, Mohammad-Reza Linear label code of a root lattice using Gröbner bases. (English) Zbl 07790972 Appl. Algebra Eng. Commun. Comput. 35, No. 1, 3-15 (2024). Reviewer: Sudhir Batra (Sonipat) MSC: 11H31 13F65 94B05 × Cite Format Result Cite Review PDF Full Text: DOI
Capaverde, Juliane; Gao, Shuhong Gröbner bases of generic ideals. (English) Zbl 1536.13029 J. Algebra 641, 27-48 (2024). Reviewer: Gema Maria Diaz Toca (Murcia) MSC: 13P10 13D40 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ceria, Michela; Mora, Teo Towards a Gröbner-free approach to coding. (English) Zbl 1534.94128 Des. Codes Cryptography 92, No. 1, 179-204 (2024). MSC: 94B35 94B15 05E40 13P10 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Juan; Wang, Dongming; Lu, Dong Squarefree normal representation of zeros of zero-dimensional polynomial systems. (English) Zbl 1537.13050 J. Symb. Comput. 122, Article ID 102273, 14 p. (2024). Reviewer: Juan Rafael Sendra (Alcalá de Henares) MSC: 13P10 68W30 14Q20 × Cite Format Result Cite Review PDF Full Text: DOI
Guyot, Luc; Yengui, Ihsen The multivariate Serre conjecture ring. (English) Zbl 1540.13015 J. Algebra 640, 385-400 (2024). MSC: 13B30 13B25 13F05 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Lih-Chung; Wei, Tzer-Jen; Shih, Jian-Ming; Hu, Yuh-Hua; Hsieh, Chih-Cheng An algorithm for solving over-determined multivariate quadratic systems over finite fields. (English) Zbl 07778569 Adv. Math. Commun. 18, No. 1, 55-90 (2024). MSC: 68W30 13P10 13P15 × Cite Format Result Cite Review PDF Full Text: DOI
Herzog, Jürgen; Hibi, Takayuki; Moradi, Somayeh Toric rings arising from vertex cover ideals. (English) Zbl 1524.13073 Adv. Appl. Math. 152, Article ID 102596, 11 p. (2024). Reviewer: Mehrdad Nasernejad (Lens) MSC: 13F65 05E40 05C25 13A02 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bruns, Winfried; Conca, Aldo Sagbi combinatorics of maximal minors and a Sagbi algorithm. (English) Zbl 1518.13019 J. Symb. Comput. 120, Article ID 102237, 14 p. (2024). Reviewer: Monica La Barbiera (Messina) MSC: 13F50 13F65 13P10 13P99 14M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gaar, Elisabeth; Siebenhofer, Melanie Sum-of-squares certificates for Vizing’s conjecture via determining Gröbner bases. (English) Zbl 1519.05190 J. Symb. Comput. 120, Article ID 102236, 31 p. (2024). MSC: 05C69 05C76 90C22 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morales, Marcel; Dung, Nguyen Thi A “pseudo-polynomial” algorithm for the Frobenius number and Gröbner basis. (English) Zbl 1523.13043 J. Symb. Comput. 120, Article ID 102233, 28 p. (2024). MSC: 13P10 13C14 13D40 13F65 14M05 14M25 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Jinwang; Li, Dongmei; Wu, Tao The Smith normal form and reduction of weakly linear matrices. (English) Zbl 1521.15012 J. Symb. Comput. 120, Article ID 102232, 14 p. (2024). MSC: 15A21 × Cite Format Result Cite Review PDF Full Text: DOI
Morye, Archana S; B, Sreenanda S; Saivasan, Prakash Reduced Grobner Basis With Double Exponential Cardinality. arXiv:2411.17602 Preprint, arXiv:2411.17602 [math.CO] (2024). MSC: 13P10 14Q20 × Cite Format Result Cite Full Text: arXiv
Koley, Mitra; Kotal, Nirmal; Veer, Dharm Polyominoes and Knutson ideals. arXiv:2411.16364 Preprint, arXiv:2411.16364 [math.AC] (2024). MSC: 05E40 05B50 13P10 × Cite Format Result Cite Full Text: arXiv
Bordianu, Andreea I.; Cimpoeas, Mircea On the Stanley depth and Hilbert depth of some classes of edge ideals of graphs. arXiv:2411.10844 Preprint, arXiv:2411.10844 [math.AC] (2024). MSC: 05A18 06A07 13C15 13P10 13F20 × Cite Format Result Cite Full Text: arXiv OA License