The quasi-uniserial semigroups without zero, their arithmetics and their algebras.
The rank of a commutative semigroup
The concept of rank of a commutative cancellative semigroup is extended to all commutative semigroups by defining as the supremum of cardinalities of finite independent subsets of . Representing such a semigroup as a semilattice of (archimedean) components , we prove that is the supremum of ranks of various . Representing a commutative separative semigroup as a semilattice of its (cancellative) archimedean components, the main result of the paper provides several characterizations...
The Regular Ideal in a Semigroup
The role of semigroups in the elementary theory of numbers
The Schur Theorem for periodic semigroups of Linear relations.
The Schützenberger group of an H-class in the semigroup of binary relations.
The semigroup generated by certain operators on the congruence lattice of a Clifford semigroup.
The semigroup of circulant Boolean matrices
The semigroup of finite complexes of a group
The semigroup of fully indecomposable relations and Hall relations
The semigroup of Hall relations.
The semigroup of nonempty finite subsets of integers.
The semigroup of nonempty finite subsets of rationals.
The structure of bisimple left unipotent semigroups as ordered pairs.
The structure of bisimple orthodox semigroups as ordered pairs.
The structure of certain integrally closed semigroups.
The structure of idempotent residuated chains
In this paper we study some special residuated lattices, namely, idempotent residuated chains. After giving some properties of Green’s relation on the monoid reduct of an idempotent residuated chain, we establish a structure theorem for idempotent residuated chains. As an application, we give necessary and sufficient conditions for a band with an identity to be the monoid reduct of some idempotent residuated chain. Finally, based on the structure theorem for idempotent residuated chains, we obtain...
The structure of left C-rpp semigroups.
The structure of Morita dual monoids.
The structure of orthodox unions of groups.