Local and 2-local derivations on filiform associative algebras
Rings and Algebras
2023-06-27 v2
Abstract
This paper is devoted to the study of local and 2-local derivations of nullfiliform, filiform and naturally graded quasi-filiform associative algebras. We prove that these algebras as a rule admit local derivations which are not derivations. We show that filiform and naturally graded quasi-filiform associative algebras admit 2-local derivations which are not derivations and any 2-local derivation of null-filiform associative algebras is a derivation.
Keywords
Cite
@article{arxiv.2305.15339,
title = {Local and 2-local derivations on filiform associative algebras},
author = {K. K. Abdurasulov and Sh. A. Ayupov and B. B. Yusupov},
journal= {arXiv preprint arXiv:2305.15339},
year = {2023}
}