Central nilpotency of skew braces

被引：12

作者：

Bonatto, Marco ^{[1
]}

Jedlicka, Premysl ^{[2
]}

机构：

[1] Univ Ferrara, Dept Math & Comp Sci, Via Macchiavelli 30, I-44121 Ferrara, Italy

[2] Czech Univ Life Sci, Fac Engn, Dept Math, Kamycka 129, Prague 16521 6, Czech Republic

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2023年 / 22卷 / 12期

关键词：

Skew braces; center; nilpotency; SET-THEORETICAL SOLUTIONS; BAXTER;

D O I：

10.1142/S0219498823502559

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Skew braces are algebraic structures related to the solutions of the set-theoretic quantum Yang-Baxter equation. We develop the central nilpotency theory for such algebraic structures in the sense of Freese-McKenzie [12] and we compare the universal algebraic notion of central nilpotency with the notion of right and left nilpotency developed in [7].

引用

页数：16

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