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
ABI
Аннотация
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.
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