On left restriction semigroups with zero
Author
Source
Issue
Vol. 50, Issue 2 A (30 Apr. 2023), pp.1-9, 9 p.
Publisher
Kuwait University Academic Publication Council
Publication Date
2023-04-30
Country of Publication
Kuwait
No. of Pages
9
Main Subjects
Abstract EN
In this article, we give the notion of left restriction meet-semigroup, and establish some results regarding atomistic left restriction semigroups.
Then we discuss decompositions of (non-zero) semigroups with zero by proving a decomposition theorem.
We also show that every atomistic left restriction semigroup S can be decomposed as an orthogonal sum of atomistic left restriction semigroups Ni , where each summand Ni is an irreducible ideal of S.
Finally, properties of the summands Ni , when S embeds in some PT X the partial transformation monoid on a set X, are investigated.
American Psychological Association (APA)
al-Zaman, Baddi. 2023. On left restriction semigroups with zero. Kuwait Journal of Science،Vol. 50, no. 2 A, pp.1-9.
https://search.emarefa.net/detail/BIM-1501113
Modern Language Association (MLA)
al-Zaman, Baddi. On left restriction semigroups with zero. Kuwait Journal of Science Vol. 50, no. 2 A (Apr. 2023), pp.1-9.
https://search.emarefa.net/detail/BIM-1501113
American Medical Association (AMA)
al-Zaman, Baddi. On left restriction semigroups with zero. Kuwait Journal of Science. 2023. Vol. 50, no. 2 A, pp.1-9.
https://search.emarefa.net/detail/BIM-1501113
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 8
Record ID
BIM-1501113