Nilpotency in left semi-braces

被引：4

作者：

Catino, Francesco ^{[1
]}

Cedo, Ferran ^{[2
]}

Stefanelli, Paola ^{[1
]}

机构：

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

[2] Univ Autonoma Barcelona, Dept Matematiques, E-08193 Barcelona, Spain

来源：

JOURNAL OF ALGEBRA | 2022年 / 604卷

关键词：

Quantum Yang-Baxter equation; Set-theoretical solution; Brace; Semi-brace; Skew brace; SET-THEORETICAL SOLUTIONS; SKEW LEFT BRACES; BAXTER; PRODUCT; RINGS;

D O I：

10.1016/j.jalgebra.2022.04.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce left and right series of left semi-braces. This allows to define left and right nilpotent left semi-braces. We study the structure of such semi-braces and generalize some results, known for skew left braces, to left semi-braces. We study the structure of left semi-braces B such that the set of additive idempotents E is an ideal of B. Finally we introduce the concept of a nilpotent left semi-brace and we show that the multiplicative group of such semi-braces is nilpotent. (c) 2022 Elsevier Inc. All rights reserved.

引用

页码：128 / 161

页数：34

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