$σ$-matching and interchangeable structures on certain associative algebras

Mykola Khrypchenko

doi:10.46298/cm.13990

Mykola Khrypchenko - $σ$-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

$σ$-matching and interchangeable structures on certain associative algebrasArticle

Authors: Mykola Khrypchenko

We describe $σ$-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.

Published version

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: Rings and Algebras, Primary: 16W99, 16S80, secondary: 16S36, 16S10

Licence: arXiv.org - Non-exclusive license to distribute