The determinant of semigroups of the pseudovariety ECOM

被引：0

作者：

Shahzamanian, M. H. ^{[1
]}

机构：

[1] Univ Porto, CMUP, Fac Ciencias, Dept Matemat, Rua Campo Alegre S-N, P-4169007 Porto, Portugal

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2025年 / 24卷 / 11期

关键词：

Frobenius algebra; semigroup determinant; paratrophic determinant; semigroup algebra;

D O I：

10.1142/S0219498825502731

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to compute the nonzero semigroup determinant of the class of finite semigroups in which every two idempotents commute. This class strictly contains the class of finite semigroups that have central idempotents and the class of finite inverse semigroups. This computation holds significance in the context of the extension of the MacWilliams theorem for codes over semigroup algebras.

引用

页数：22

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