Tools
Sorted by:
Try your query at:
 |
 |
 |
 |
 |
 |
Results 1 - 10
of
24
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 B-orthodox. 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 B-orthodox. In doing so we produce a new approach to characterising orthodox semigroups, by using inductive
E-UNITARY ALMOST FACTORIZABLE ORTHODOX SEMIGROUPS
"... Abstract. It is established that an E-unitary almost factorizable orthodox semigroup need not be isomorphic to a semidirect prod-uct of a band by a group, and a necessary and sufficient condition is given for an E-unitary almost factorizable orthodox semigroup to be isomorphic to such a semidirect p ..."
Abstract
- Add to MetaCart
Abstract. It is established that an E-unitary almost factorizable orthodox semigroup need not be isomorphic to a semidirect prod-uct of a band by a group, and a necessary and sufficient condition is given for an E-unitary almost factorizable orthodox semigroup to be isomorphic to such a semidirect
A Multiplication Of E-Varieties Of Orthodox Semigroups
, 1995
"... We define semantically a partial multiplication on the lattice of all e-varieties of regular semigroups. In the case that the first factor is an e-variety 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 e-varieties of regular semigroups. In the case that the first factor is an e-variety 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 representa-tion as a semigroup of transformations on the set of integers. In this note, we obtain a fairly simple representation of a pre-image 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 representa-tion as a semigroup of transformations on the set of integers. In this note, we obtain a fairly simple representation of a pre-image 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
On Epiorthodox Semigroups
"... It has been well known that the band of idempotents of a naturally ordered orthodox semigroup satisfying the "strong Dubreil-Jacotin condition" forms a normal band. In the literature, the naturally ordered orthodox semigroups satisfying the strong Dubreil-Jacotin condition were first cons ..."
Abstract
- Add to MetaCart
It has been well known that the band of idempotents of a naturally ordered orthodox semigroup satisfying the "strong Dubreil-Jacotin condition" forms a normal band. In the literature, the naturally ordered orthodox semigroups satisfying the strong Dubreil-Jacotin condition were first
FUNDAMENTAL SEMIGROUPS HAVING A BAND OF IDEMPOTENTS
, 2007
"... The construction by Hall of a fundamental orthodox semigroup WB from a band B provides an important tool in the study of orthodox semigroups. We present here a semigroup SB that plays the role of WB for a class of semigroups having a band of idempotents B. Specifically, the semigroups we consider a ..."
Abstract
-
Cited by 1 (0 self)
- Add to MetaCart
The construction by Hall of a fundamental orthodox semigroup WB from a band B provides an important tool in the study of orthodox semigroups. We present here a semigroup SB that plays the role of WB for a class of semigroups having a band of idempotents B. Specifically, the semigroups we consider
Regular Semigroups with a S0 − Orthodox Transversal
"... In this paper, we consider another generalization for quasi-ideal or-thodox transversal, the so-called S0-orthodox transversals. We give a structure theorem for regular semigroups with S0-orthodox transver-sals. If S0 is a S0-orthodox transversal of S then S can be described in terms of S0. ..."
Abstract
- Add to MetaCart
In this paper, we consider another generalization for quasi-ideal or-thodox transversal, the so-called S0-orthodox transversals. We give a structure theorem for regular semigroups with S0-orthodox transver-sals. If S0 is a S0-orthodox transversal of S then S can be described in terms of S0.
Results 1 - 10
of
24
