LATTICE ISOMORPHISMS OF DISTRIBUTIVE INVERSE SEMIGROUPS

1979 ◽  
Vol 30 (3) ◽  
pp. 301-314 ◽  
Author(s):  
P. R. JONES
Keyword(s):  
Inverse Semigroups

scholarly journals Inverse semigroups with idempotent-fixing automorphisms

2014 ◽  
Vol 89 (2) ◽  
pp. 469-474 ◽  
Author(s):  
João Araújo ◽  
Michael Kinyon
Keyword(s):  
Inverse Semigroups

On certain codes admitting inverse semigroups as syntactic monoids

1974 ◽  
Vol 8 (1) ◽  
pp. 312-331 ◽  
Author(s):  
Michael Keenan ◽  
Gerard Lallement
Keyword(s):  
Inverse Semigroups

On Cayley Graphs of Inverse Semigroups

2006 ◽  
Vol 72 (3) ◽  
pp. 411-418 ◽  
Author(s):  
A.V. Kelarev
Keyword(s):  
Cayley Graphs ◽  
Inverse Semigroups

E ∨-unitary covers for ∨-semilatticed inverse semigroups

2012 ◽  
Vol 86 (1) ◽  
pp. 92-107
Author(s):  
A. Paula Garrão ◽  
Donald B. McAlister
Keyword(s):  
Inverse Semigroups

scholarly journals A NOTE ON THE HOWSON PROPERTY IN INVERSE SEMIGROUPS

2016 ◽  
Vol 94 (3) ◽  
pp. 457-463 ◽  
Author(s):  
PETER R. JONES
Keyword(s):  
Inverse Semigroup ◽  
Inverse Semigroups ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Finitely Generated ◽  
Necessary And Sufficient

An algebra has the Howson property if the intersection of any two finitely generated subalgebras is again finitely generated. A simple necessary and sufficient condition is given for the Howson property to hold on an inverse semigroup with finitely many idempotents. In addition, it is shown that any monogenic inverse semigroup has the Howson property.

scholarly journals Biorder-preserving coextensions of fundamental semigroups

1988 ◽  
Vol 31 (3) ◽  
pp. 463-467 ◽  
Author(s):  
David Easdown
Keyword(s):  
Group Theory ◽  
Semigroup Theory ◽  
Building Blocks ◽  
Inverse Semigroups ◽  
Extension Theory ◽  
Precise Definition ◽  
Simple Groups ◽  
Seminal Work ◽  
Fundamental Semigroups

In any extension theory for semigroups one must determine the basic building blocks and then discover how they fit together to create more complicated semigroups. For example, in group theory the basic building blocks are simple groups. In semigroup theory however there are several natural choices. One that has received considerable attention, particularly since the seminal work on inverse semigroups by Munn ([14, 15]), is the notion of a fundamental semigroup. A semigroup is called fundamental if it cannot be [shrunk] homomorphically without collapsing some of its idempotents (see below for a precise definition).

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