Isoclinism of Algebras With Bracket
Rings and Algebras
2023-11-27 v1
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.
Keywords
Cite
@article{arxiv.2311.13858,
title = {Isoclinism of Algebras With Bracket},
author = {J. M. Casas and S. Hadi Jafari},
journal= {arXiv preprint arXiv:2311.13858},
year = {2023}
}