Searcharxiv⌕ Search

arXiv subjects

A. Kunanbayev

Publications and source records attributed to A. Kunanbayev.

2 recordsLinked to original sources
arXiv2025

4-type subvarieties of the variety of associative algebras

In this paper, we consider four types of subvarieties of the variety of associative algebras. We study these subvarieties from the point of view of operads and show their connections with well-known classes of algebras, such as dendriform algebras and noncommutative Novikov algebras. Finally, we define the commutator and anti-commutator operations on these algebras and derive several identities satisfied by these operations.

math.RA↗
arXiv2024

Binary perm algebras and alternative algebras

In this paper, we describe the defining identities of a variety of binary perm algebras, which is a subvariety of the variety of alternative algebras. In addition, we construct a basis of the free binary perm algebra and find a complete list of identities which satisfy binary perm algebra under commutator.

math.RA↗