Regularity and Green’s relations on the semigroup of full contraction mappings with a restricted range

Regülerlik ve Kısıtlamalı Görüntüye Sahip Daraltma Fonksiyonlarının Yarı Grupları Üzerinde Green Denklemleri

Authors

  • Muhammad Mansur ZUBAIRU Department of Mathematical Sciences, Bayero University Kano, PM. Box 3011, Kano Nigeria
  • Zulyadain Dahiru LAWAN Department of Science, School of Continuing Education, Bayero University Kano, P.M.B. 3011, Kano Nigeria

Keywords:

Transformation semigroup, Contraction mappings, Ideals, Restricted range, Green’s relations

Abstract

In this paper, we determine when two semigroups of full contraction mappings with restricted range are isomorphic. Furthermore, we give necessary and sufficient conditions for an element in the semigroup to be regular and characterize all the Green’s equivalences on the semigroup.

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Published

2022-06-03

How to Cite

ZUBAIRU, M. M., & LAWAN, . Z. D. . (2022). Regularity and Green’s relations on the semigroup of full contraction mappings with a restricted range: Regülerlik ve Kısıtlamalı Görüntüye Sahip Daraltma Fonksiyonlarının Yarı Grupları Üzerinde Green Denklemleri. Kadirli Uygulamalı Bilimler Fakültesi Dergisi, 2(1), 1–14. Retrieved from https://kadirliubfd.com/index.php/kubfd/article/view/13