Skew left braces with non-trivial annihilator

被引：30

作者：

Catino, Francesco ^{[1
]}

Colazzo, Ilaria ^{[1
]}

Stefanelli, Paola ^{[1
]}

机构：

[1] Univ Salento, Dipartimento Matemat & Fis Ennio De Giorgi, Via Prov Lecce Arnesano, I-73100 Lecce, Italy

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2019年 / 18卷 / 02期

关键词：

Skew brace; brace; F-brace; quantum Yang-Baxter equation; set-theoretical solution; affine group; regular subgroup; ideal extension of skew braces; SET-THEORETICAL SOLUTIONS; REGULAR SUBGROUPS; BAXTER;

D O I：

10.1142/S0219498819500336

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe the class of all skew left braces with non-trivial annihilator through ideal extension of a skew left brace. The ideal extension of skew left braces is a generalization to the non-abelian case of the extension of left braces provided by Bachiller in [D. Bachiller, Extensions, matched products, and simple braces, braces, J. Pure Appl. Algebra 222 (2018) 1670-1691].

引用

页数：23

共 13 条

[1] Extensions, matched products, and simple braces [J].