This paper is about the classification, up to isomorphism, of two-dimensional algebras over
any basic field. It provides a full classification of such algebras in terms of their matrices of …

All subalgebras, idempotents, left (right) ideals and left quasi-units of two-dimensional
algebras are described. Classifications of algebras with given number of subalgebras, left …

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 …

In the paper, we consider the class of so-called endo-commutative algebras. From the
identity imposed to specify this class, one can easily see that the product in this class …

Identities on Two-Dimensional Algebras | Lobachevskii Journal of Mathematics Skip to main
content SpringerLink Account Menu Find a journal Publish with us Track your research Search …

An algebra is called skew-symmetric if its multiplication operation is a skewsymmetric
bilinear application. We determine all these algebras in dimension 3 over a field of …

In this paper we describe all power-associative algebra structures on a two-dimensional
vector space over algebraically closed fields and ℝ. The list of all two-dimensional left (right) …

arXiv:1708.01376v2 [math.RA] 7 Dec 2018 Page 1 arXiv:1708.01376v2 [math.RA] 7 Dec 2018
In the name of Allah, the Beneficent, the Merciful. THE AUTOMORPHISM GROUPS AND …

A constructive approach to the classification and invariance problems, with respect to basis
changes, of the finite dimensional algebras is offered. A construction of an invariant open …

Classification of Two-Dimensional Jordan Algebras Over R Page 1 Malaysian Journal of
Mathematical Sciences 12(3): 287–303 (2018) MALAYSIAN JOURNAL OF …