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A step to compute the determinant of finite semigroups not in ECom (2407.00083v2)
Published 24 Jun 2024 in math.GR and math.RT
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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