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arXiv · 2203.02422

Some Results on Factorization of Monoids

Zsolt Adam Balogh·Tamar Mesablishvili
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Abstract

Factorizations of monoids are studied. Two necessary and sufficient conditions in terms of so-called descent 1-cocyles for a monoid to be factorized through two submonoids are found. A full classification of those factorizations of a monoid whose one factor is a subgroup of the monoid is obtained. The relationship between monoid factorizations and non-abelian cohomology of monoids is analyzed. Some applications to semi-direct product of monoids are given.

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Zsolt Adam Balogh, Tamar Mesablishvili. 2022-03-04. Some Results on Factorization of Monoids. https://arxiv.org/abs/2203.02422

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