English

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

Rings and Algebras 2025-10-22 v4

Abstract

We describe σ\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.

Keywords

Cite

@article{arxiv.2407.18734,
  title  = {$\sigma$-matching and interchangeable structures on certain associative algebras},
  author = {Mykola Khrypchenko},
  journal= {arXiv preprint arXiv:2407.18734},
  year   = {2025}
}

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Published version

R2 v1 2026-06-28T17:54:36.263Z