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arXiv · 2305.15339

Local and 2-local derivations on filiform associative algebras

K. K. Abdurasulov·Sh. A. Ayupov·B. B. Yusupov
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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.

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K. K. Abdurasulov, Sh. A. Ayupov, B. B. Yusupov. 2023-05-24. Local and 2-local derivations on filiform associative algebras. https://arxiv.org/abs/2305.15339

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