The main purpose of this short survey is to show how groups of special structure, which are accepted to be called Chernikov groups, appeared in the considerations of semigroups with certain finiteness conditions. A structure of groups with several such conditions has been described (they turned out to be special types of Chernikov groups). Lastly, a question concerning some special type of Chernikov groups is recalled; this question was raised by the author more than 35 years ago, and it is still open. © Journal "Algebra and Discrete Mathematics"
In this paper the notion of simple and completely simple semi hypergroups are introduced. Basic prop...
We gather the main known results concerning the non-degenerate Ornstein-Uhlenbeck semigroup in finit...
Abstract The finite generation and presentation of Schützenberger products of semigroups are investi...
Some classes of periodical groups and M3p1-groups are considered in the paper aiming at the property...
In semigroup theory there are certain kinds of band decompositions, which are very useful in the stu...
Layer-finite groups first appeared in the work by S.~N.~Chernikov (1945). Almost layer-finite groups...
A relevant theorem of B.H. Neumann states that if a group G has boundedly finite conjugacy classes, ...
In the paper we review the results characterizing layer-finite groups and almost layer-finite groups...
In this thesis, the concept of cleavability as it applies to semigroups is explored. We will conside...
Abstract. We pursue further our investigation, begun in [H. Smith, Groups with all subgroups sub-nor...
The problems in the combinatorial theory of groups and semi-groups have been studied. Such problems ...
This is a survey of results of the profinite approach to decidability problems in the theory of fini...
Presently, no example of non-finitely based finite semigroup $S$ is known for which the monoid $S^1$...
Let G be a locally finite group satisfying the condition given in the title and suppose that G is no...
Let G be a locally finite group satisfying the condition given in the title and suppose that G is no...
In this paper the notion of simple and completely simple semi hypergroups are introduced. Basic prop...
We gather the main known results concerning the non-degenerate Ornstein-Uhlenbeck semigroup in finit...
Abstract The finite generation and presentation of Schützenberger products of semigroups are investi...
Some classes of periodical groups and M3p1-groups are considered in the paper aiming at the property...
In semigroup theory there are certain kinds of band decompositions, which are very useful in the stu...
Layer-finite groups first appeared in the work by S.~N.~Chernikov (1945). Almost layer-finite groups...
A relevant theorem of B.H. Neumann states that if a group G has boundedly finite conjugacy classes, ...
In the paper we review the results characterizing layer-finite groups and almost layer-finite groups...
In this thesis, the concept of cleavability as it applies to semigroups is explored. We will conside...
Abstract. We pursue further our investigation, begun in [H. Smith, Groups with all subgroups sub-nor...
The problems in the combinatorial theory of groups and semi-groups have been studied. Such problems ...
This is a survey of results of the profinite approach to decidability problems in the theory of fini...
Presently, no example of non-finitely based finite semigroup $S$ is known for which the monoid $S^1$...
Let G be a locally finite group satisfying the condition given in the title and suppose that G is no...
Let G be a locally finite group satisfying the condition given in the title and suppose that G is no...
In this paper the notion of simple and completely simple semi hypergroups are introduced. Basic prop...
We gather the main known results concerning the non-degenerate Ornstein-Uhlenbeck semigroup in finit...
Abstract The finite generation and presentation of Schützenberger products of semigroups are investi...