A step to compute the determinant of finite semigroups not in ECom
Group Theory
2025-02-18 v2 Representation Theory
Abstract
The purpose of this paper is to begin studying the computation of the nonzero determinant of semigroups within the class of finite semigroups that possesses a pair of non-commutative idempotents. This paper focuses on a class of these semigroups introduced as -smooth semigroups. This computation is applicable in the context of the extension of the MacWilliams theorem for codes over semigroup algebras.
Cite
@article{arxiv.2407.00083,
title = {A step to compute the determinant of finite semigroups not in ECom},
author = {M. H. Shahzamanian},
journal= {arXiv preprint arXiv:2407.00083},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:2302.04316