Results 1  10
of
34
EUNITARY ALMOST FACTORIZABLE ORTHODOX SEMIGROUPS
"... Abstract. It is established that an Eunitary almost factorizable orthodox semigroup need not be isomorphic to a semidirect product of a band by a group, and a necessary and sufficient condition is given for an Eunitary almost factorizable orthodox semigroup to be isomorphic to such a semidirect p ..."
Abstract
 Add to MetaCart
Abstract. It is established that an Eunitary almost factorizable orthodox semigroup need not be isomorphic to a semidirect product of a band by a group, and a necessary and sufficient condition is given for an Eunitary almost factorizable orthodox semigroup to be isomorphic to such a semidirect
Some classes of factorizable semigroups∗
"... [Almost] factorizable inverse monoids [semigroups] play an important rule in the theory of inverse semigroups (see for example [2]). The notion of “factorizable ” and “almost factorizable ” coincides for inverse monoids. A couple of crucial results for inverse semigroups S are the following: a) S i ..."
Abstract
 Add to MetaCart
[Almost] factorizable inverse monoids [semigroups] play an important rule in the theory of inverse semigroups (see for example [2]). The notion of “factorizable ” and “almost factorizable ” coincides for inverse monoids. A couple of crucial results for inverse semigroups S are the following: a
BEYOND ORTHODOX SEMIGROUPS
"... Abstract. We introduce the notions of a generalised category and of an inductive generalised category over a band. Our purpose is to describe a class of semigroups which we name weakly Borthodox. In doing so we produce a new approach to characterising orthodox semigroups, by using inductive general ..."
Abstract
 Add to MetaCart
Abstract. We introduce the notions of a generalised category and of an inductive generalised category over a band. Our purpose is to describe a class of semigroups which we name weakly Borthodox. In doing so we produce a new approach to characterising orthodox semigroups, by using inductive
OPENLY FACTORIZABLE SPACES AND COMPACT EXTENSIONS OF TOPOLOGICAL SEMIGROUPS
, 2008
"... We prove that the semigroup operation of a topological semigroup S extends to a continuous semigroup operation on its the StoneČech compactification βS provided S is a pseudocompact openly factorizable space, which means that each map f: S → Y to a second countable space Y can be written as the c ..."
Abstract

Cited by 8 (2 self)
 Add to MetaCart
We prove that the semigroup operation of a topological semigroup S extends to a continuous semigroup operation on its the StoneČech compactification βS provided S is a pseudocompact openly factorizable space, which means that each map f: S → Y to a second countable space Y can be written
Braids and Factorizable Inverse Monoids
"... What is the untangling effect on a braid if one is allowed to snip a string, or if two specified strings are allowed to pass through each other, or even allowed to merge and part as newly reconstituted strings? To calculate the effects, one works in an appropriate factorizable inverse monoid, some a ..."
Abstract
 Add to MetaCart
aspects of a general theory of which are discussed in this paper. The coset monoid of a group arises, and turns out to have a universal property within a certain class of factorizable inverse monoids. This theory is dual to the classical construction of fundamental inverse semigroups from semilattices
Regular Semigroups with a S0 − Orthodox Transversal
"... In this paper, we consider another generalization for quasiideal orthodox transversal, the socalled S0orthodox transversals. We give a structure theorem for regular semigroups with S0orthodox transversals. If S0 is a S0orthodox transversal of S then S can be described in terms of S0. ..."
Abstract
 Add to MetaCart
In this paper, we consider another generalization for quasiideal orthodox transversal, the socalled S0orthodox transversals. We give a structure theorem for regular semigroups with S0orthodox transversals. If S0 is a S0orthodox transversal of S then S can be described in terms of S0.
A Multiplication Of EVarieties Of Orthodox Semigroups
, 1995
"... We define semantically a partial multiplication on the lattice of all evarieties of regular semigroups. In the case that the first factor is an evariety of orthodox semigroups we describe our multiplication syntactically in terms of biinvariant congruences. ..."
Abstract
 Add to MetaCart
We define semantically a partial multiplication on the lattice of all evarieties of regular semigroups. In the case that the first factor is an evariety of orthodox semigroups we describe our multiplication syntactically in terms of biinvariant congruences.
A REPRESENTATION OF THE FREE ELEMENTARY ORTHODOX SEMIGROUP
"... Abstract. The free elementary inverse semigroup 27 has a simple representation as a semigroup of transformations on the set of integers. In this note, we obtain a fairly simple representation of a preimage of 27, the free elementary orthodox semigroup (9. Let (9(I) denote the free elementary ortho ..."
Abstract
 Add to MetaCart
Abstract. The free elementary inverse semigroup 27 has a simple representation as a semigroup of transformations on the set of integers. In this note, we obtain a fairly simple representation of a preimage of 27, the free elementary orthodox semigroup (9. Let (9(I) denote the free elementary
A MULTIPLICATION OF E {VARIETIES OF ORTHODOX SEMIGROUPS
"... This paper has been digitized, optimized for electronic delivery and stamped ..."
Abstract
 Add to MetaCart
This paper has been digitized, optimized for electronic delivery and stamped
Results 1  10
of
34