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

cm:13990 - Communications in Mathematics, November 20, 2024, Volume 33 (2025), Issue 3 (Special issue: European Non-Associative Algebra Seminar) - https://doi.org/10.46298/cm.13990
$\sigma$-matching and interchangeable structures on certain associative algebrasArticle

Authors: Mykola Khrypchenko

    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.

    Comment: Accepted for publication

    https://doi.org/10.46298/cm.13990
    Source: arXiv.org:2407.18734
    Volume: Volume 33 (2025), Issue 3 (Special issue: European Non-Associative Algebra Seminar)
    Published on: November 20, 2024
    Accepted on: September 22, 2024
    Submitted on: July 29, 2024
    Keywords: Mathematics - Rings and Algebras, Primary: 16W99, 16S80, secondary: 16S36, 16S10
    Licence: arXiv.org - Non-exclusive license to distribute

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