3 citations · 7 across the 11 of their papers we have counts for
12 papers
Reflectors and globalizations of partial actions of groups
Mykola Khrypchenko, Boris Novikov
Given a partial action of a group on a set with an algebraic structure, we construct a reflector of in the corresponding subcategory of global actions and study the questio…
A decomposition of directed graphs and the Turan problem
B. V. Novikov, L. Yu. Polyakova, G. N. Zholtkevich
We consider vertex decompositions of (di)graphs which appear in Automata Theory, and establish some their properties. Then we apply them to the problem of forbidden subgraphs.
On categorical semigroups
A. Kostin, B. Novikov
The structure of categorical at zero semigroups is studied from the point of view their likeness to categories.
On 0-homology of categorical at zero semigroups
B. V. Novikov, L. Yu. Polyakova
The isomorphism of 0-homology groups of a categorical at zero semigroup and homology groups of its 0-reflector is proved. Some applications of 0-homology to Eilenberg-MacLane homol…
0-Cohomology of semigroups
B. V. Novikov
This article is a survey of 0-cohomology of semigroups. The main attention is devoted to applications.
On decomposition of commutative Moufang groupoids
B. V. Novikov
We prove that every commutative Moufang groupoid is a semilattice of Archimedean subgroupoids.