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arXiv:2407.00083 (math)
[Submitted on 24 Jun 2024 (v1) , last revised 15 Feb 2025 (this version, v2)]

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

Title: 计算有限半群中不在 ECom 中的行列式的一步

Authors:M.H. Shahzamanian
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.
Abstract: 本文的目的是开始研究有限半群类中非零行列式的计算,这类半群具有非交换幂等元对。 本文专注于一类被称为$\ll$-光滑半群的半群。 该计算适用于半群代数上MacWilliams定理扩展的背景下,用于编码问题。
Comments: arXiv admin note: text overlap with arXiv:2302.04316
Subjects: Group Theory (math.GR) ; Representation Theory (math.RT)
Cite as: arXiv:2407.00083 [math.GR]
  (or arXiv:2407.00083v2 [math.GR] for this version)
  https://doi.org/10.48550/arXiv.2407.00083
arXiv-issued DOI via DataCite

Submission history

From: M. Hossein Shahzamanian C. [view email]
[v1] Mon, 24 Jun 2024 14:49:22 UTC (26 KB)
[v2] Sat, 15 Feb 2025 15:42:54 UTC (28 KB)
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