Work

Isoclinism of Algebras with Bracket

Year: 2025

Type: article

Abstract: We introduce the notion of isoclinism between central extensions in the category of algebras with bracket. We provide several equivalent conditions under which algebras with bracket are isoclinic. We also study the connection between isoclinism and the Schur multiplier of algebras with bracket. It is shown that for finite-dimensional central extensions of algebras with bracket with same dimension, the notion of isoclinism and isomorphism are equivalent. Furthermore, we indicate that all stem covers of an algebra with bracket are isoclinic.

Source: Bulletin of the Iranian Mathematical Society.

DOI: 10.1007/s41980-025-01001-2

Authors: José Manuel Casas, Seid Hadi Jafari

Institutions: Universidade de Vigo, Islamic Azad University, Mashhad

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,490

Funders: Universidade de Vigo, Agencia Estatal de Investigación