Preprint

Local and 2-local derivations on filiform associative algebras

Kobiljon AbdurasulovV.I.ROMANOVSKIY INSTITUTE OF MATHEMATICS , UZBEKISTAN ACADEMY OF SCIENCES ,Sh. A. AyupovB. B. YusupovV.I.ROMANOVSKIY INSTITUTE OF MATHEMATICS , UZBEKISTAN ACADEMY OF SCIENCES ,

2023en

ABI

Annotatsiya

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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Identifikatorlar

DOI: 10.48550/arxiv.2305.15339

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