Generalized affine transformation monoids on Galois rings.
Generating countable sets of surjective functions
We prove that any countable set of surjective functions on an infinite set of cardinality ℵₙ with n ∈ ℕ can be generated by at most n²/2 + 9n/2 + 7 surjective functions of the same set; and there exist n²/2 + 9n/2 + 7 surjective functions that cannot be generated by any smaller number of surjections. We also present several analogous results for other classical infinite transformation semigroups such as the injective functions, the Baer-Levi semigroups, and the Schützenberger monoids.
Globally Abelian transformation semigroups.
Goldie's theorem for semigroups.
Green ' s ....-relation for generalized polynomials.
Green's equivalences in finite semigroups of binary relations.
Green's J-relation for polynomials.
Green's L-relation for semigroups and compactifications.
Green's L-relation for semigroups and compactifications. (Short Communication).
Green's ...-relation and climbing mountains.
Green's relations and regular elements of transformation semigroups
Green's Relations in Finnite Function Semigroups
Green's relations on Croisot-Teissier semigroups.
Green's relations on the strong endomorphism monoid of a graph.
Green's relations, the V relation and congruences on S(X).
Groups of binary relations.