The natural partial order on an R-cancelative semigroup
The number of commutative semigroups of order N.
The one-block property in varieties of semigroups.
The order of normalform hypersubstitutions of type (2)
In [2] it was proved that all hypersubstitutions of type τ = (2) which are not idempotent and are different from the hypersubstitution whichmaps the binary operation symbol f to the binary term f(y,x) haveinfinite order. In this paper we consider the order of hypersubstitutionswithin given varieties of semigroups. For the theory of hypersubstitution see [3].
The orderability of idempotent semigroups
The orderability of regular semigroups.
The partial groupoid of idempotents of a regular semigroup.
The partially ordered collection of regular ...-classes of S(X).
The partially ordered family of C M-homomorphisms.
The partially ordered set of all J-classes of a finite semigroup.
The primitivity of semigroup algebras of free products.
The proof of Birman's conjecture on singular braid monoids.
The pseudovariety generated by completely 0-simple semigroups.
The pseudovariety is hyperdecidable
The pseudovariety of semigroups of triangular matrices over a finite field
We show that semigroups representable by triangular matrices over a fixed finite field form a decidable pseudovariety and provide a finite pseudoidentity basis for it.
The pseudovariety of semigroups of triangular matrices over a finite field
We show that semigroups representable by triangular matrices over a fixed finite field form a decidable pseudovariety and provide a finite pseudoidentity basis for it.
The quasi-uniserial semigroups without zero, their arithmetics and their algebras.
The range order of a product of i transformations from a finite full transformation semigroup.
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