Embedding finite involution semigroups in matrices with transposition

被引：0

作者：

Lee, Edmond W. H. ^{[1
]}

机构：

[1] Nova Southeastern Univ, Dept Math, Ft Lauderdale, FL 33328 USA

来源：

DISCRETE APPLIED MATHEMATICS | 2023年 / 340卷

关键词：

Semigroup; Involution semigroup; Inverse semigroup; Semigroup of matrices; Transposition; Embedding;

D O I：

10.1016/j.dam.2023.07.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present article establishes two contrasting results: a finite involution semigroup is embeddable in some semigroup of complex matrices with conjugate transposition if and only if it is an inverse semigroup, while every finite involution semigroup is embeddable in some semigroup of binary matrices with the skew transposition across the secondary diagonal.& COPY; 2023 Elsevier B.V. All rights reserved.

引用

页码：327 / 330

页数：4