The a-congruences on S(X) and the S-equivalences on X.
The algebra of the subspace semigroup of
The semigroup of subspaces of the algebra of 2 × 2 matrices over a finite field is studied. The ideal structure of S, the regular -classes of S and the structure of the complex semigroup algebra ℂ[S] are described.
The alternating semigroups: Generators and congruences.
The automorphism group of the graph of an R class.
The average rank of a product of transformations.
The cardinal and the idempotent number of various monoids of transformations on a finite chain.
The commutativity relation in the symmetric semigroup.
The compression semigroup of a cone is connected.
The congruences on S(X) which commute with V.
The core congruence on a monoid.
The Euler-Fermat theorem for the semigroup of circulant Boolean matrices
The factorizable transformation semigroups.
The group of units as a maximal inverse subsemigroup.
The intersection of the maximal regular subsemigroups of the semigroup of binary relations.
The inverse semigroup of partial symmetries of a convex polygon.
The largest proper congruence on S(X).
The largest proper regular ideal of
The lattice of congruences on a Baer-Levi semigroup.
The maximal regular ideal of the semigroup of binary relations
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 .