Hausdorff topologies on the α-bicyclic semigroup

1987 ◽  
Vol 36 (1) ◽  
pp. 189-209
Author(s):  
J. W. Hogan
Keyword(s):  
Bicyclic Semigroup

Inverse Subsemigroups of the Bicyclic Semigroup

2020 ◽  
Vol 108 (3-4) ◽  
pp. 550-556
Author(s):  
K. H. Hovsepyan
Keyword(s):  
Bicyclic Semigroup ◽  
Inverse Subsemigroups

A generalization of the bicyclic semigroup

1980 ◽  
Vol 21 (1) ◽  
pp. 13-25 ◽  
Author(s):  
Celia L. Adair
Keyword(s):  
Bicyclic Semigroup

scholarly journals The C*-algebras of some inverse semigroups

1990 ◽  
Vol 42 (2) ◽  
pp. 335-348 ◽  
Author(s):  
Rachel Hancock ◽  
Iain Raeburn
Keyword(s):  
Inverse Semigroup ◽  
Semigroup Algebra ◽  
Inverse Semigroups ◽  
Bicyclic Semigroup ◽  
C Algebras

We discuss the structure of some inverse semigroups and the associated C* algebras. In particular, we study the bicyclic semigroup and the free monogenic inverse semigroup, following earlier work of Conway, Duncan and Paterson. We then associate to each zero-one matrix A an inverse semigroup CA, and show that the C*-algebra OA of Cuntz and Krieger is closely related to the semigroup algebra C*(CA).

DIRICHLET CONVOLUTION, BICYCLIC SEMIGROUP AND A BREAKING PROCESS

2013 ◽  
Vol 09 (08) ◽  
pp. 1961-1972 ◽  
Author(s):  
EMIL DANIEL SCHWAB
Keyword(s):  
Common Origin ◽  
Bicyclic Semigroup ◽  
Dirichlet Convolution

The paper deals with certain breaking processes using a compatible partition of a monoid. We introduce the broken Dirichlet convolution and the broken bicyclic semigroup. Both have a common origin and are introduced by the same elementary categorical construction.

Some completely semisimple HNN-extensions of inverse semigroups

2019 ◽  
Vol 30 (02) ◽  
pp. 217-243
Author(s):  
Mohammed Abu Ayyash ◽  
Alessandra Cherubini
Keyword(s):  
Inverse Semigroup ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Inverse Semigroups ◽  
Bicyclic Semigroup ◽  
Hnn Extensions ◽  
Necessary And Sufficient ◽  
Completely Semisimple

We give necessary and sufficient conditions in order that lower bounded HNN-extensions of inverse semigroups and HNN-extensions of finite inverse semigroups are completely semisimple semigroups. Since it is well known that an inverse semigroup is completely semisimple if and only if it does not contain a copy of the bicyclic semigroup, we first characterize such HNN-extensions containing a bicyclic subsemigroup making use of the special feature of their Schützenberger automata.

A nonlocally compact nondiscrete topology for the α-bicyclic semigroup

1985 ◽  
Vol 31 (1) ◽  
pp. 372-374 ◽  
Author(s):  
Annie Alexander Selden
Keyword(s):  
Bicyclic Semigroup

scholarly journals Embedding any countable semigroup without idempotents in a 2-generated simple semigroup without idempotents

1988 ◽  
Vol 30 (2) ◽  
pp. 121-128 ◽  
Author(s):  
Karl Byleen
Keyword(s):  
Principal Ideal ◽  
Simple Semigroup ◽  
Bicyclic Semigroup

Although the classes of regular simple semigroups and simple semigroups without idempotents are evidently at opposite ends of the spectrum of simple semigroups, their theories involve some interesting connections. Jones [5] has obtained analogues of the bicyclic semigroup for simple semigroups without idempotents. Megyesi and Pollák [7] have classified all combinatorial simple principal ideal semigroups on two generators, showing that all are homomorphic images of one such semigroup Po which has no idempotents.

On factorizations onto the bicyclic semigroup

1977 ◽  
Vol 15 (1) ◽  
pp. 103-118 ◽  
Author(s):  
M. Demlová
Keyword(s):  
Bicyclic Semigroup
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