4 papers
math.RA2026
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…
math.RA2026
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…
math.RA2025
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…
math.RA2025
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…