Dominions and Zigzag theorem for $\Gamma$-semigroups

Authors

  • Wajih Ashraf Aligarh Muslim University
  • Shabir Ahmad Ahangar Central University of Kashmir
  • Abdus Salam Aligarh Muslim University
  • Noor Mohammad Khan Aligarh Muslim University

DOI:

https://doi.org/10.30495/jme.v15i0.1248

Keywords:

Dominions, Zigzag equations, $\Gamma$-semigroups

Abstract

Dominions have been studied from different perspectives however their major application lies to study the closure property for monoids. The most useful characterization of semigroup domonions is provided by the famous Isbell’s Zigzag Theorem. In this paper, we introduce the dominion of a  $\Gamma$-semigroups and give the analogue of Isbell's zigzag theorem in  $\Gamma$-semigroups.

Author Biographies

Wajih Ashraf, Aligarh Muslim University

Assistant Professor of Mathematics,

Department of Mathematics

Shabir Ahmad Ahangar, Central University of Kashmir

Research Scholar

Department of Mathematics

Abdus Salam, Aligarh Muslim University

Research Scholar

Department of Mathematics

Noor Mohammad Khan, Aligarh Muslim University

Professor of Mathematics,Department of Mathematics

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Published

2020-04-20

Issue

Vol. 15

Section

Vol. 15, No. 2, (2021)

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