On a semigroup theoretic generalization of the Kaluznin Krasner Theorem and normal extensions of inverse semigroups.
On a wreath product embedding and idempotent pure congruences on inverse semigroups.
On a wreath product embedding for regular semigroups.
On free products of bicyclic monoids.
On inverse semigroups the closure of whose set of idempotents is a Clifford semigroup.
On -ideals of semirings.
On simple inverse semigroups.
On some classes of H-semigroups.
On the closure of B2 ( ...,...).
On the E-unitary covers for a Bruck semigroup.
On the inverse braid and reflection monoids of type .
On the lattice of congruences on inverse semirings
Let S be a semiring whose additive reduct (S,+) is an inverse semigroup. The relations θ and k, induced by tr and ker (resp.), are congruences on the lattice C(S) of all congruences on S. For ρ ∈ C(S), we have introduced four congruences and on S and showed that and . Different properties of ρθ and ρκ have been considered here. A congruence ρ on S is a Clifford congruence if and only if is a distributive lattice congruence and is a skew-ring congruence on S. If η (σ) is the least distributive...
On unique factorization semilattices
The class of unique factorization semilattices (UFSs) contains important examples of semilattices such as free semilattices and the semilattices of idempotents of free inverse monoids. Their structural properties allow an efficient study, among other things, of their principal ideals. A general construction of UFSs from arbitrary posets is presented and some categorical properties are derived. The problem of embedding arbitrary semilattices into UFSs is considered and complete characterizations...
On varieties of combinatorial inverse semigroups I.
On varieties of combinatorial inverse semigroups II.