On strict extensions of semigroups.
On strongly -cyclic acts
By a regular act we mean an act such that all its cyclic subacts are projective. In this paper we introduce strong -cyclic property of acts over monoids which is an extension of regularity and give a classification of monoids by this property of their right (Rees factor) acts.
On strongly reversible semigroups.
On strongly strict extensions of semigroups.
On structure space of -semigroups
In this paper we introduce the notion of the structure space of -semigroups formed by the class of uniformly strongly prime ideals. We also study separation axioms and compactness property in this structure space.
On subsemigroup lattices of aperiodic groups.
On subsemigroups of transformation semigroups with two generators.
On super hamiltonian semigroups
The concept of super hamiltonian semigroup is introduced. As a result, the structure theorems obtained by A. Cherubini and A. Varisco on quasi commutative semigroups and quasi hamiltonian semigroups respectively are extended to super hamiltonian semigroups.
On syntacticity of finite regular semigroups.
On Takizawa's construction for E-unitary R-unipotent semigroups
On the additive semigroup of ordered semirings.
On the additive semigroup structure of semirings.
On the additive structure of a class of ordered semirings.
On the algebraic characterization of systems of partial mappings
On the arithmetic of arithmetical congruence monoids
Let ℕ represent the positive integers and ℕ₀ the non-negative integers. If b ∈ ℕ and Γ is a multiplicatively closed subset of , then the set is a multiplicative submonoid of ℕ known as a congruence monoid. An arithmetical congruence monoid (or ACM) is a congruence monoid where Γ = ā consists of a single element. If is an ACM, then we represent it with the notation M(a,b) = (a + bℕ₀) ∪ 1, where a, b ∈ ℕ and a² ≡ a (mod b). A classical 1954 result of James and Niven implies that the only ACM...
On the axiomatic rank of varieties generated by a semigroup or monoid with one defining relation.
On the Burnside problem for semigroups of matrices in the (max, + ) algebra.
On the categori-city of semigroup-theoretical properties.
On the Centralizer of a semigroup of group endomorphisms.
On the characterization of semilattices satisfying the descending chain condition and some remarks on distinguishing subsets