Work

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

Year: 2024

Type: article

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.

Source: Communications in Mathematics

DOI: 10.46298/cm.13990

Author: Mykola Khrypchenko

Institutions: Universidade do Porto, Universidade Federal de Santa Catarina

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Fundação para a Ciência e a Tecnologia, Centro de Matemática Universidade do Porto

Awards: Centro de Matemática da Universidade do Porto, G8367123964