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arXiv · 2407.18734

$\sigma$-matching and interchangeable structures on certain associative algebras

Mykola Khrypchenko
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Abstract

We describe $\sigma$-matching, interchangeable and, as a consequence, totally compatible products on some classes of associative algebras, including unital algebras, the semigroup algebras of rectangular bands, algebras with enough idempotents, free non-unital associative algebras and free non-unital commutative associative algebras.

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Mykola Khrypchenko. 2024-07-26. $\sigma$-matching and interchangeable structures on certain associative algebras. https://doi.org/10.46298/cm.13990

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