The work is devoted to the variety of two-dimensional algebras over algebraically closed
fields. First we classify such algebras modulo isomorphism. Then we describe the …

Let V be an n-dimensional linear space over an algebraically closed base field. We provide
a general method for classifying, up to equivalence, all bilinear maps f: V× V→ V such that …

We introduce a new class of algebras called endo-commutative algebras in which the
square mapping preserves multiplication, and provide a complete classification of endo …

Bicommutative algebras are nonassociative algebras satisfying the polynomial identities of
right-and left-commutativity (xy) z=(xz) y and x (yz)= y (xz). We study subvarieties of the …

An endo-commutative algebra is a nonassociative algebra in which the square mapping
preserves multiplication. In this paper, we give a complete classification of endo …

Full article: Complex Structures in Real Algebras. I. Two-Dimensional Commutative Case Skip
to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

In this paper, we present a complete classification of 2-dimensional endo-commutative
straight algebras of type II $ _1 $ over any field. An endo-commutative algebra is a non …

The set \mathcalA of all non-associative algebra structures on a fixed 2-dimensional real
vector space A is naturally a \rmGL(2,\bfR)-module. We compute the ring of \rmSL(2,\bfR) …

An endo-commutative algebra is a nonassociative algebra in which the square mapping
preserves multiplication. In this paper, we give a complete classification of 2-dimensional …

Cubic differential systems in real commutative two-dimensional algebras are classified up to
orbital topological equivalence via the solubility of polynomial equations in algebras. As a by …