5 papers
On identities of -dimensional algebras
H. Ahmed, U. Bekbaev, I. Rakhimov
In the paper we provide some polynomial identities for finite-dimensional algebras. A list of well known single polynomial identities is exposed and the classification of all -d…
Subalgebras, idempotents, ideals and quasi-units of two-dimensional algebras
H. Ahmed, U. Bekbaev, I. Rakhimov
All subalgebras, idempotents, left(right) ideals and left quasi-units of two-dimensional algebras are described. Classification of algebras with given number of subalgebras, left(r…
Two-dimensional left (right) unital algebras over algebraically closed fields and
H. Ahmed, U. Bekbaev, I. Rakhimov
In this paper we describe all, up to isomorphism, left unital, right unital and unital algebra structures on two-dimensional vector space over any algebraically closed field and $\…
The automorphism groups and derivation algebras of two-dimensional algebras
H. Ahmed, U. Bekbaev, I. Rakhimov
The automorphisms groups and derivation algebras of all two-dimensional algebras over algebraically closed fields are described.
Complete Classification of Two-Dimensional Algebras
H. Ahmed, U. Bekbaev, I. Rakhimov
A complete classification of two-dimensional algebras over algebraically closed fields is provided