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arXiv · 2407.00083

A step to compute the determinant of finite semigroups not in ECom

M. H. Shahzamanian
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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 $\ll$-smooth semigroups. This computation is applicable in the context of the extension of the MacWilliams theorem for codes over semigroup algebras.

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M. H. Shahzamanian. 2024-06-24. A step to compute the determinant of finite semigroups not in ECom. https://arxiv.org/abs/2407.00083

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