On special pieces in the unipotent variety.
On special Qr-filters of semigroups, semirings and rings.
On special Rees matrix semigroups over semigroups
We study the right regular representation of special Rees matrix semigroups over semigroups, and discuss their embedding in idempotent-free left simple semigroups.
On spectra of solvability and attainability for varieties of semigroups.
On split pairs of rank 1
On splitting -systems
On S-quasinormal subgroups of finite group.
On Steiner loops and power associativity.
On Steiner manifolds
On Steiner quasigroups
On strict extensions of semigroups.
On strictly sparse subsets of a free group.
On strong reality of the unipotent Lie-type subgroups over a field of characteristic 2.
On strong uniform dimension of locally finite groups
We give the description of locally finite groups with strongly balanced subgroup lattices and we prove that the strong uniform dimension of such groups exists. Moreover we show how to determine this dimension.
On strongly -cyclic acts
By a regular act we mean an act such that all its cyclic subacts are projective. In this paper we introduce strong -cyclic property of acts over monoids which is an extension of regularity and give a classification of monoids by this property of their right (Rees factor) acts.
On strongly reversible semigroups.
On strongly strict extensions of semigroups.
On strongly sum-free subsets of abelian groups
In his book on unsolved problems in number theory [1] R. K. Guy asks whether for every natural l there exists with the following property: for every and any n elements of a group such that the product of any two of them is different from the unit element of the group, there exist l of the such that for and . In this note we answer this question in the affirmative in the first non-trivial case when l=3 and the group is abelian, proving the following result.
On Structure of Weyl Modules.
On structure space of -semigroups
In this paper we introduce the notion of the structure space of -semigroups formed by the class of uniformly strongly prime ideals. We also study separation axioms and compactness property in this structure space.