scholarly journals On Proximal Relations in Transformation Semigroups Arising from Generalized Shifts

2022 ◽  
Vol 38 (1) ◽  
pp. 110-120
Author(s):  
global sci
Keyword(s):  
Transformation Semigroups

scholarly journals Certain characterizations of varieties of bands

1988 ◽  
Vol 31 (2) ◽  
pp. 301-319 ◽  
Author(s):  
J. A. Gerhard ◽  
Mario Petrich
Keyword(s):  
Rectangular Band ◽  
Simple System ◽  
Left Zero ◽  
Green’S Relations ◽  
Transformation Semigroups ◽  
Lattice Of Varieties ◽  
Green's Relations ◽  
The World ◽  
New System

The lattice of varieties of bands was constructed in [1] by providing a simple system of invariants yielding a solution of the world problem for varieties of bands including a new system of inequivalent identities for these varieties. References [3] and [5] contain characterizations of varieties of bands determined by identities with up to three variables in terms of Green's relations and the functions figuring in a construction of a general band. In this construction, the band is expressed as a semilattice of rectangular bands and the multiplication is written in terms of functions among these rectangular band components and transformation semigroups on the corresponding left zero and right zero direct factors.

Multiplicative invertibility characterization on star-like cyclicpoid CyPω*n finite partial transformation semigroups

2021 ◽  
Vol 10 (1) ◽  
pp. 45-55
Author(s):  
Sulaiman Awwal Akinwunmi ◽  
Morufu Mogbolagade Mogbonju ◽  
Adenike Olusola Adeniji
Keyword(s):  
Partial Transformation ◽  
Transformation Semigroups

Skew Pairs of Idempotents in Transformation Semigroups

2006 ◽  
Vol 22 (6) ◽  
pp. 1705-1714 ◽  
Author(s):  
T. S. Blyth ◽  
M. H. Almeida Santos
Keyword(s):  
Transformation Semigroups

ON THE MAXIMAL SUBSEMIGROUPS OF SOME TRANSFORMATION SEMIGROUPS

2008 ◽  
Vol 01 (02) ◽  
pp. 189-202 ◽  
Author(s):  
I. Dimitrova ◽  
J. Koppitz
Keyword(s):  
Transformation Semigroups ◽  
Maximal Subsemigroups ◽  
Element Set

Let Singn be the semigroup of all singular transformations on an n-element set. We consider two subsemigroups of Singn: the semigroup On of all isotone singular transformations and the semigroup Mn of all monotone singular transformations. We describe the maximal subsemigroups of these two semigroups, and study the connections between them.

scholarly journals Automorphisms of transformation semigroups

1975 ◽  
Vol 19 (4) ◽  
pp. 327-329 ◽  
Author(s):  
S. P. Fitzpatrick ◽  
J. S. V. Symons
Keyword(s):  
Common Property ◽  
Transformation Semigroups

It is common property in the theory of transformation semigroups that the presence of all the constant maps ensures that automorphisms are induced by a permutation of the underlying set. Essentially, this goes back to Malcev (2); it has been extensively generalised by Sullivan in (4). For semigroups which do not contain the constants (for example, all surjective transformations of a set, or all injections) there is, as yet, no similar result. The purpose of this note is to provide one.

scholarly journals Generating transformation semigroups using endomorphisms of preorders, graphs, and tolerances

2010 ◽  
Vol 161 (12) ◽  
pp. 1471-1485 ◽  
Author(s):  
J.D. Mitchell ◽  
M. Morayne ◽  
Y. Péresse ◽  
M. Quick
Keyword(s):  
Transformation Semigroups
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