Completely regular semigroup varieties generated by Mal'cev products with groups.
Completely regular semigroups as semigroups of partial transformations.
Congruences associated with inverse transversals.
Congruences on bands of π-groups
A semigroup S is said to be completely π-regular if for any a ∈ S there exists a positive integer n such that aⁿ is completely regular. The present paper is devoted to the study of completely regular semigroup congruences on bands of π-groups.
Congruences on regular semigroups.
Construction and representation of regular semigroups.
Corrigendum to "Operators and products in the lattice of existence varieties of regular semigroups".
Decomposition of regular subsemigroup lattices.
E-free objects and E-locality for completely regular semigroups.
E-free objects in E-variétés of inverse rings.
Epis from locally inverse semigroups are onto.
E-varieties of regular semigroups, relatively bifree objects and fully invariant congruences.
Faithful linear representations of bands.
Finite images and elementary equivalence of completely regular inverse semigroups.
Free locally inverse *-semigroups
Green's relations and their generalizations on semigroups
Green's relations and their generalizations on semigroups are useful in studying regular semigroups and their generalizations. In this paper, we first give a brief survey of this topic. We then give some examples to illustrate some special properties of generalized Green's relations which are related to completely regular semigroups and abundant semigroups.
Green's relations on the strong endomorphism monoid of a graph.
Group congruences on eventually inverse semigroups
Idempotent pre-generalized hypersubstitutions of type .
Idempotent-separating extensions of regular semigroups.