Congruences on inverse semigroups using kernel normal system
Author
Source
General Letters in Mathematics
Issue
Vol. 1, Issue 1 (30 Apr. 2016), pp.11-22, 12 p.
Publisher
Refaad Center for Studies and Research
Publication Date
2016-04-30
Country of Publication
Jordan
No. of Pages
12
Main Subjects
Abstract EN
Congruences on inverse semigroups via the (kernel-trace) method introduced by Scheiblich in 1974.
In this paper we discuss the congruences on inverse semigroups by using the technique of Kernel normal systems.
Congrueneses on inverse semigroup were described in terms of congruences pairs (ker tr ).
It is natural to ask if this strategy can be extended to include regular semigroups.
Feigenbaum in 1979 has achieved this.
However, this approach has not proved to be the best possible for congruences on regular semigroups in general.
Whilst it is possible to describe abstractly the trace and kernel of congruence on a regular semigroup, these descriptions are unwieldy.
The technique which has proved most useful for studying congruences on arbitrary regular semigroups is that due to Preston of Kernel normal systems.
American Psychological Association (APA)
Tunsi, Laila M.. 2016. Congruences on inverse semigroups using kernel normal system. General Letters in Mathematics،Vol. 1, no. 1, pp.11-22.
https://search.emarefa.net/detail/BIM-938547
Modern Language Association (MLA)
Tunsi, Laila M.. Congruences on inverse semigroups using kernel normal system. General Letters in Mathematics Vol. 1, no. 1 (2016), pp.11-22.
https://search.emarefa.net/detail/BIM-938547
American Medical Association (AMA)
Tunsi, Laila M.. Congruences on inverse semigroups using kernel normal system. General Letters in Mathematics. 2016. Vol. 1, no. 1, pp.11-22.
https://search.emarefa.net/detail/BIM-938547
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 22
Record ID
BIM-938547