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math.RA2024
A description of automorphisms and derivations of all two-dimensional algebras over an arbitrary field
Sh. Eshmirzayev, U. Bekbaev
A description of automorphisms and derivations of all two-dimensional algebras, considered up to isomorphism, over an arbitrary field is provided. In other words, these two problem…
math.RA2024
An open subset of the variety of - dimensional algebras, classification and automorphisms
Ural Bekbaev
Classification, up to isomorphism, of algebras from a non-empty subset of the variety of - dimensional algebras is presented. It is shown that these algebras have only trivial a…
math.RA2024
On finite dimensional algebras with only trivial derivations(automorphisms) and simple algebras
U. Bekbaev
This paper deals with -dimensional algebras, over any field, which have only trivial derivation (automorphism) and simple algebras. It is shown that the corresponding sets of al…