On left restriction semigroups with zero

Baddi Ul Zaman

Article Details

On left restriction semigroups with zero

Authors:

Baddi Ul Zaman

Publisher:

Kuwait University

Journal:

Kuwait Journal of Science Vol.50 Issue 2A, pp.0-0

Document Type:

Article

Publication Date:

10/2023

Document Language:

English

Document ID (Org No.):

2001943295

pISSN:

2307-4116

Abstract:

 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.

Article Details

On left restriction semigroups with zero

Authors: Baddi Ul Zaman

Publisher: Kuwait University

Journal: Kuwait Journal of Science Vol.50 Issue 2A, pp.0-0

Document Type: Article

Publication Date: 10/2023

Document Language: English

Document ID (Org No.): 2001943295

pISSN: 2307-4116

Issues

Authors:

Baddi Ul Zaman

Publisher:

Kuwait University

Journal:

Kuwait Journal of Science Vol.50 Issue 2A, pp.0-0

Document Type:

Article

Publication Date:

10/2023

Document Language:

English

Document ID (Org No.):

2001943295

pISSN:

2307-4116