ON PERMUTABILITY OF E-UNITARY CLIFFORD SEMIGROUPS

2016 ◽  
Vol 100 (10) ◽  
pp. 1705-1715
Author(s):  
Mimoza Polloshka ◽  
Elton Pasku
Keyword(s):  
Clifford Semigroups

Clifford semigroups of left quotients

1986 ◽  
Vol 28 (2) ◽  
pp. 181-191 ◽  
Author(s):  
Victoria Gould
Keyword(s):  
Ring Theory ◽  
Clifford Semigroups ◽  
Ring Of Quotients ◽  
Rings Of Quotients ◽  
Classical Ring ◽  
Number Of Authors

Several definitions of a semigroup of quotients have been proposed and studied by a number of authors. For a survey, the reader may consult Weinert's paper [8]. The motivation for many of these concepts comes from ring theory and the various notions of rings of quotients. We are concerned in this paper with an analogue of the classical ring of quotients, introduced by Fountain and Petrich in [3].

scholarly journals Clifford semigroups and monotonicity

1985 ◽  
Vol 32 (1) ◽  
pp. 83-92
Author(s):  
T.E. Hays
Keyword(s):  
Algebraic Structure ◽  
Binary Operation ◽  
Monotone Function ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Clifford Semigroups ◽  
Necessary And Sufficient

A semigroup S is said to be monotone if its binary operation is a monotone function from S × S into S. This paper utilizes some of the known algebraic structure of Clifford semigroups, semigroups which are unions of groups, to study topological Clifford semigroups which are monotone. It is shown that such semigroups are preserved under products, homomorphisms, and, under certain conditions, closures. Necessary and sufficient conditions for monotonicity of groups, paragroups, bands, compact orthodox Clifford semigroups, and compact bands of groups are developed.

A construction principle and compact clifford semigroups

1971 ◽  
Vol 2 (1) ◽  
pp. 343-353 ◽  
Author(s):  
Thomas T. Bowman
Keyword(s):  
Construction Principle ◽  
Clifford Semigroups

C*-algebras of Clifford semigroups

1989 ◽  
Vol 111 (1-2) ◽  
pp. 129-145 ◽  
Author(s):  
John Duncan ◽  
A.L.T. Paterson
Keyword(s):  
Representation Theory ◽  
Clifford Semigroup ◽  
Sheaf Theory ◽  
C Algebras ◽  
Clifford Semigroups

SynopsisWe investigate algebras associated with a (discrete) Clifford semigroup S =∪ {Ge: e ∈ E{. We show that the representation theory for S is determined by an enveloping Clifford semigroup UC(S) =∪ {Gx: x ∈ X} where X is the filter completion of the semilattice E. We describe the representation theory in terms of both disintegration theory and sheaf theory.

On the endomorphism monoids of Clifford semigroups

2018 ◽  
Vol 11 (04) ◽  
pp. 1850059
Author(s):  
Somnuek Worawiset
Keyword(s):  
Endomorphism Monoids ◽  
Clifford Semigroups

In this paper, we study properties of the endomorphism monoids of strong semilattices of groups. In Sec. 2, several properties for endomorphism monoids of finite semilattices are investigated. In Sec. 3, we collect some results on endomorphism monoids of strong semilattices of groups, i.e. Clifford semigroups.

scholarly journals On topological Clifford semigroups embeddable into products of cones over topological groups

2014 ◽  
Vol 89 (2) ◽  
pp. 367-382
Author(s):  
Taras Banakh ◽  
Iryna Pastukhova
Keyword(s):  
Topological Groups ◽  
Clifford Semigroups

scholarly journals On continuity of homomorphisms between topological Clifford semigroups

2014 ◽  
Vol 6 (1) ◽  
pp. 123-129
Author(s):  
I. Pastukhova
Keyword(s):  
Clifford Semigroup ◽  
Clifford Semigroups ◽  
Topological Clifford Semigroup

Generalizing an old result of Bowman we prove that a homomorphism $f:X\to Y$ between topological Clifford semigroups is continuous if the idempotent band $E_X=\{x\in X:xx=x\}$ of $X$ is a $V$-semilattice;the topological Clifford semigroup $Y$ is ditopological;the restriction $f|E_X$ is continuous;for each subgroup $H\subset X$ the restriction $f|H$ is continuous.

scholarly journals On inner amenability of Clifford semigroups

1994 ◽  
Vol 70 (5) ◽  
pp. 123-127
Author(s):  
Koukichi Sakai
Keyword(s):  
Clifford Semigroups ◽  
Inner Amenability

SUBDIRECT PRODUCT STRUCTURE OF LEFT CLIFFORD SEMIGROUPS

2003 ◽  
Author(s):  
K.P. Shum ◽  
M.K. Sen ◽  
Y.Q. Guo
Keyword(s):  
Subdirect Product ◽  
Product Structure ◽  
Clifford Semigroups

Simplicial Cohomology of Some Semigroup Algebras

2007 ◽  
Vol 50 (1) ◽  
pp. 56-70 ◽  
Author(s):  
F. Gourdeau ◽  
A. Pourabbas ◽  
M. C. White
Keyword(s):  
Banach Spaces ◽  
Semigroup Algebras ◽  
Cohomology Groups ◽  
Convolution Algebra ◽  
Clifford Semigroups

AbstractIn this paper, we investigate the higher simplicial cohomology groups of the convolution algebra ℓ1(S) for various semigroups S. The classes of semigroups considered are semilattices, Clifford semigroups, regular Rees semigroups and the additive semigroups of integers greater than a for some integer a. Our results are of two types: in some cases, we show that some cohomology groups are 0, while in some other cases, we show that some cohomology groups are Banach spaces.

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