Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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EPIMORPHISMS, DOMINIONS FOR GAMMA SEMIGROUPS AND PARTIALLY ORDERED GAMMA SEMIGROUPS

  • PHOOL MIYAN (Department of Mathematics, College of Natural and Computational Sciences, Haramaya University) ;
  • SELESHI DEMIE (Department of Mathematics, College of Natural and Computational Sciences, Haramaya University) ;
  • GEZEHEGN TEREFE (Department of Mathematics, College of Natural and Computational Sciences, Haramaya University)
  • Received : 2022.03.03
  • Accepted : 2023.05.04
  • Published : 2023.07.30
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Abstract

The purpose of this paper is to obtain the commutativity of a gamma dominion for a commutative gamma semigroup by using Isbell zigzag theorem for gamma semigroup and we prove some gamma semigroup identities are preserved under epimorphism. Moreover, we extend epimorphism, dominion and Isbell zigzag theorem for partially ordered semigroup to partially ordered gamma semigroup.

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Acknowledgement

The authors are grateful to Haramaya University, Office of Vice President for Research Affairs, for the financial support. The authors would also like to thank the anonymous referees for their valuable comments and suggestions which helped in improving the quality of the paper.

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