The greatest Archimedean ideal in a semigroup
The groupoid of 0-reduced varieties of Semigroups (n).
The largest proper regular ideal of
The maximal regular ideal of the semigroup of binary relations
The Maximal Semilattice Decomposition of a Semigroup
The maximal subsemigroups of the ideals of some semigroups of partial injections
We study the structure of the ideals of the semigroup of all isotone (order-preserving) partial injections as well as of the semigroup of all monotone (order-preserving or order-reversing) partial injections on an n-element set. The main result is the characterization of the maximal subsemigroups of the ideals of and .
The minimal right -ideal of the free semigroup on a countable set
The Minimum group congruence on an ...-unipotent semi group.
The monoid of ordered partitions of a natural number.
The quasi-uniserial semigroups without zero, their arithmetics and their algebras.
The ring of quotients of R(S).
The semigroup of a strongly connected automaton.
The smallest ideals in the two natural products on ßS.
The structure of commutative ideal semigroups.
The structure of left C-rpp semigroups.
The translational hull in semigroups and rings.
Towards a classification of maximal unicellular bands.
Transformation semigroups associated to Γ-semigroups
The concept of Γ-semigroups is a generalization of semigroups. In this paper, we associate two transformation semigroups to a Γ-semigroup and we call them the left and right transformation semigroups. We prove some relationships between the ideals of a Γ-semigroup and the ideals of its left and right transformation semigroups. Finally, we study some relationships between Green's equivalence relations of a Γ-semigroup and its left (right) transformation semigroup.