Guccione, Jorge A.; Guccione, Juan J.; Valqui, Christian Set-theoretic type solutions of the braid equation. (English) Zbl 07804814 J. Algebra 644, 461-525 (2024). MSC: 16T25 16T15 PDFBibTeX XMLCite \textit{J. A. Guccione} et al., J. Algebra 644, 461--525 (2024; Zbl 07804814) Full Text: DOI arXiv
Gunna, Ajeeth; Scrimshaw, Travis Integrable systems and crystals for edge labeled tableaux. (English) Zbl 07804797 J. Algebra 644, 152-190 (2024). MSC: 05E10 05A19 05E05 14M15 PDFBibTeX XMLCite \textit{A. Gunna} and \textit{T. Scrimshaw}, J. Algebra 644, 152--190 (2024; Zbl 07804797) Full Text: DOI arXiv
Trappeniers, S. On two-sided skew braces. (English) Zbl 07710306 J. Algebra 631, 267-286 (2023). Reviewer: Shanghua Zheng (Nanchang) MSC: 16T25 PDFBibTeX XMLCite \textit{S. Trappeniers}, J. Algebra 631, 267--286 (2023; Zbl 07710306) Full Text: DOI arXiv
Zhang, Kaiqiang; Du, Xiankun Set-theoretical solutions to the Hom-Yang-Baxter equation and Hom-cycle sets. (English) Zbl 1527.16035 J. Algebra 631, 1-23 (2023). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T25 20N02 20N05 PDFBibTeX XMLCite \textit{K. Zhang} and \textit{X. Du}, J. Algebra 631, 1--23 (2023; Zbl 1527.16035) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{Z. Li} and \textit{S. Wang}, J. Algebra 623, 447--480 (2023; Zbl 1514.17019) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{F. Catino} et al., J. Algebra 622, 587--613 (2023; Zbl 1517.17015) 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
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 PDFBibTeX XMLCite \textit{F. Catino} et al., J. Algebra 604, 128--161 (2022; Zbl 1498.16042) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{F. Cedó} and \textit{J. Okniński}, J. Algebra 600, 125--151 (2022; Zbl 1495.16031) Full Text: DOI arXiv
Catino, Francesco; Mazzotta, Marzia; Stefanelli, Paola Inverse semi-braces and the Yang-Baxter equation. (English) Zbl 1476.16035 J. Algebra 573, 576-619 (2021). Reviewer: Kenny De Commer (Brussels) MSC: 16T25 81R50 16Y99 16N20 20M18 PDFBibTeX XMLCite \textit{F. Catino} et al., J. Algebra 573, 576--619 (2021; Zbl 1476.16035) Full Text: DOI arXiv
Bonatto, M.; Crans, A.; Nasybullov, T.; Whitney, G. Quandles with orbit series conditions. (English) Zbl 1477.20129 J. Algebra 567, 284-309 (2021). Reviewer: Agata Pilitowska (Warszawa) MSC: 20N02 57K12 16T25 PDFBibTeX XMLCite \textit{M. Bonatto} et al., J. Algebra 567, 284--309 (2021; Zbl 1477.20129) Full Text: DOI arXiv
Nasybullov, Timur Connections between properties of the additive and the multiplicative groups of a two-sided skew brace. (English) Zbl 1485.20088 J. Algebra 540, 156-167 (2019). MSC: 20F16 20F18 16T25 PDFBibTeX XMLCite \textit{T. Nasybullov}, J. Algebra 540, 156--167 (2019; Zbl 1485.20088) Full Text: DOI arXiv
Okado, Masato; Schilling, Anne; Scrimshaw, Travis Rigged configuration bijection and proof of the \(X = M\) conjecture for nonexceptional affine types. (English) Zbl 1437.17008 J. Algebra 516, 1-37 (2018). MSC: 17B37 05A19 81R50 82B23 PDFBibTeX XMLCite \textit{M. Okado} et al., J. Algebra 516, 1--37 (2018; Zbl 1437.17008) Full Text: DOI arXiv
Hartwig, Jonas T. Noncommutative fiber products and lattice models. (English) Zbl 1456.58007 J. Algebra 508, 35-80 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 58B34 14A22 16S38 PDFBibTeX XMLCite \textit{J. T. Hartwig}, J. Algebra 508, 35--80 (2018; Zbl 1456.58007) Full Text: DOI arXiv
Catino, Francesco; Colazzo, Ilaria; Stefanelli, Paola Semi-braces and the Yang-Baxter equation. (English) Zbl 1385.16035 J. Algebra 483, 163-187 (2017). Reviewer: Stefaan Caenepeel (Brussels) MSC: 16T25 16Y99 16N20 81R50 PDFBibTeX XMLCite \textit{F. Catino} et al., J. Algebra 483, 163--187 (2017; Zbl 1385.16035) Full Text: DOI
Shibukawa, Youichi Hopf algebroids and rigid tensor categories associated with dynamical Yang-Baxter maps. (English) Zbl 1336.81042 J. Algebra 449, 408-445 (2016). Reviewer: Wolfgang Rump (Stuttgart) MSC: 81R50 17B37 16T25 16T05 18D10 PDFBibTeX XMLCite \textit{Y. Shibukawa}, J. Algebra 449, 408--445 (2016; Zbl 1336.81042) Full Text: DOI
Shibukawa, Youichi; Takeuchi, Mitsuhiro FRT construction for dynamical Yang-Baxter maps. (English) Zbl 1193.18005 J. Algebra 323, No. 6, 1698-1728 (2010). MSC: 18D10 81R50 16T10 PDFBibTeX XMLCite \textit{Y. Shibukawa} and \textit{M. Takeuchi}, J. Algebra 323, No. 6, 1698--1728 (2010; Zbl 1193.18005) Full Text: DOI arXiv
de Gier, Jan; Nichols, Alexander The two-boundary Temperley-Lieb algebra. (English) Zbl 1188.20005 J. Algebra 321, No. 4, 1132-1167 (2009). Reviewer: Steen Ryom-Hansen (Talca) MSC: 20C08 PDFBibTeX XMLCite \textit{J. de Gier} and \textit{A. Nichols}, J. Algebra 321, No. 4, 1132--1167 (2009; Zbl 1188.20005) Full Text: DOI arXiv
Martin, Paul; Green, R. M.; Parker, Alison Towers of recollement and bases for diagram algebras: planar diagrams and a little beyond. (English) Zbl 1156.16010 J. Algebra 316, No. 1, 392-452 (2007). Reviewer: Hu Jun (Beijing) MSC: 16G20 20C08 PDFBibTeX XMLCite \textit{P. Martin} et al., J. Algebra 316, No. 1, 392--452 (2007; Zbl 1156.16010) Full Text: DOI arXiv
Schilling, Anne; Shimozono, Mark \(X=M\) for symmetric powers. (English) Zbl 1151.17009 J. Algebra 295, No. 2, 562-610 (2006). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 05E15 17B67 PDFBibTeX XMLCite \textit{A. Schilling} and \textit{M. Shimozono}, J. Algebra 295, No. 2, 562--610 (2006; Zbl 1151.17009) Full Text: DOI arXiv
Martin, P.; Woodcock, D. On central idempotents in the partition algebra. (English) Zbl 0933.20006 J. Algebra 217, No. 1, 156-169 (1999). Reviewer: Ye Jiachen (Shanghai) MSC: 20C30 20C05 05E10 82B20 PDFBibTeX XMLCite \textit{P. Martin} and \textit{D. Woodcock}, J. Algebra 217, No. 1, 156--169 (1999; Zbl 0933.20006) Full Text: DOI
Martin, P.; Woodcock, D. The partition algebras and a new deformation of the Schur algebras. (English) Zbl 0923.20009 J. Algebra 203, No. 1, 91-124 (1998). Reviewer: Ye Jiachen (Shanghai) MSC: 20C30 05E10 16S80 20G05 PDFBibTeX XMLCite \textit{P. Martin} and \textit{D. Woodcock}, J. Algebra 203, No. 1, 91--124 (1998; Zbl 0923.20009) Full Text: DOI