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The determinant of semigroups of the pseudovariety ECOM
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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.
Title: The determinant of semigroups of the pseudovariety ECOM
Description:
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.
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