Maqola

Local and 2-local derivations on filiform associative algebras

Kobiljon AbdurasulovCMA-UBI, Universidade da Beira Interior, Covilhã, PortugalShavkat AyupovNational University of Uzbekistan, Tashkent 100170, UzbekistanBakhtiyor YusupovDepartment of Physics and Mathematics, Urgench State University, Kh. Alimdjan Street, 14, Urganch 220100, Uzbekistan

Journal of Algebra and Its Applicationsjournal2024en

ABI

Annotatsiya

This paper is devoted to the study of local and 2-local derivations of null-filiform, 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.

Mavzular

Advanced Topics in Algebra Matrix Theory and Algorithms Algebraic structures and combinatorial models

Identifikatorlar

DOI: 10.1142/s0219498825502421

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