In the present paper automorphisms, local and 2-local automorphisms of n-dimensional null-filiform and filiform associative algebras are studied. Namely, a common form of the matrix of automorphisms and local automorphisms of these algebras is clarified. It turns out that the common form of the matrix of an automorphism on these algebras does not coincide with the local automorphism’s matrices common form on these algebras. Therefore, these associative algebras have local automorphisms that are not automorphisms. Also, that each 2-local automorphism of null-filiform algebra is an automorphism and some associative filiform algebras admit 2-local automorphisms which are not automorphisms are proved. © 2024 Elsevier B.V., All rights reserved.
Original languageEnglish
Pages (from-to)151-164
Number of pages14
JournalJournal of Algebra Combinatorics Discrete Structures and Applications
Volume11
Issue number3
DOIs
StatePublished - 2024

    Research areas

  • 2-Local automorphisms, Associative algebra, Automorphisms, Filiform algebra, Local automorphisms, Nilpotent algebra, Null-filiform algebra

ID: 143421348