14 citations · 40 across the 20 of their papers we have counts for
20 papers
On the Classification of Two-Dimensional Algebras
U. Bekbaev
We provide a clarification of the classification of two-dimensional algebras over an arbitrary base field. Using this clarification, we determine the number of non-isomorphic two-d…
On three-dimensional anti-commutative algebras
U. Bekbaev
This paper is devoted to the classification problem of tree-dimensional anti-commutative(zero-potent) algebras over any base field such that a…
On three-dimensional associative algebras
U. Bekbaev, I. Rakhimov
This paper addresses the classification problem of associative algebras over arbitrary base fields. We present a list of three-dimensional associative algebras with canonical repre…
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…
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…
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…