On a class of non-associative rings
On automorphism groups of non-associative Boolean rings.
On homotopes of Novikov algebras.
On maximal subalgebras of central simple Malcev algebras.
In this paper the structure of the maximal elements of the lattice of subalgebras of central simple non-Lie Malcev algebras is considered. Such maximal subalgebras are studied in two ways: first by using theoretical results concerning Malcev algebras, and second by using the close connection between these simple non-Lie Malcev algebras and the Cayley-Dickson algebras, which have been extensively studied (see [4]).
On positive and critical theories of some classes of rings.
On rings with alternators in the commutative center
On some anticyclic operads.
On Some Generalizations of Lie Algebras
On the associative Nijenhuis relation.
On the classification of -dimensional -manifold algebras
-manifold algebras are focused on the algebraic properties of the tangent sheaf of -manifolds. The local classification of 3-dimensional -manifolds has been given in A. Basalaev, C. Hertling (2021). We study the classification of 3-dimensional -manifold algebras over the complex field .
On the zeros of polynomials over arbitrary finite dimensional algebras.
Operads of decorated trees and their duals
This is an extended version of a talk presented by the second author on the Third Mile High Conference on Nonassociative Mathematics (August 2013, Denver, CO). The purpose of this paper is twofold. First, we would like to review the technique developed in a series of papers for various classes of di-algebras and show how the same ideas work for tri-algebras. Second, we present a general approach to the definition of pre- and post-algebras which turns out to be equivalent to the construction of dendriform...