On free inverse monoid languages
On free products of bands.
On free products of bicyclic monoids.
On free subsemigroups.
On full transformation semigroups.
On fuzzy points in semigroups.
On general linear semigroups.
On generalized conditionally commutative semigroups
On generalized kernels.
On generalized kernels II.
On generating regular elements in the semigroup of binary relations.
On graph products of automatic monoids
The graph product is an operator mixing direct and free products. It is already known that free products and direct products of automatic monoids are automatic. The main aim of this paper is to prove that graph products of automatic monoids of finite geometric type are still automatic. A similar result for prefix-automatic monoids is established.
On graph products of automatic monoids
The graph product is an operator mixing direct and free products. It is already known that free products and direct products of automatic monoids are automatic. The main aim of this paper is to prove that graph products of automatic monoids of finite geometric type are still automatic. A similar result for prefix-automatic monoids is established.
On groups in varieties of semigroups.
On groups of units in a special class of monoids.
On groups rings which are not Ore domains.
On homological classification of pomonoids by GP-po-flatness ofS-posets
In this paper, we introduce GP-po-flatness property of S-posets over a pomonoid S, which lies strictly between principal weak po-flatness and po-torsion freeness. Furthermore, we investigate the homological classification problems of pomonoids by using this new property. Finally, we consider direct products of GP-po-flat S-posets. As an application, characterizations of pomonoids over which direct products of nonempty families of principally weakly po-flat S-posets are principally weakly po-flat...
On homological classification of pomonoids by regular weak injectivity properties of S-posets
If S is a partially ordered monoid then a right S-poset is a poset A on which S acts from the right in such a way that the action is compatible both with the order of S and A. By regular weak injectivity properties we mean injectivity properties with respect to all regular monomorphisms (not all monomorphisms) from different types of right ideals of S to S. We give an alternative description of such properties which uses systems of equations. Using these properties we prove several so-called homological...
On ideal extensions of completely simple semigroups.
On ideals in regular ternary semigroups
In this paper we study some interesting properties of regular ternary semigroups, completely regular ternary semigroups, intra-regular ternary semigroups and characterize them by using various ideals of ternary semigroups.