Weak idempotent rings

  • Dereje Wasihun Addis Ababa Science and Technology University
  • Tilahun Abebaw Addis Ababa University
  • Yibeltal Yitayew Addis Ababa University
  • Venkateswarlu Kolluru Dr L. Bullayya College
Keywords: Weak idempotent ring; completely prime ideal; one sided primary ideal; local ring

Abstract

In  this paper is to introduce the notion of weak idempotent rings as a generalization of Boolean like rings. We obtain many formal properties of the class of weak idempotent rings and furnish certain examples of the class of weak idempotent rings. Furthermore, we obtain the properties of completely prime ideal and left and right completely primary ideals of weak idempotent rings.

Author Biographies

Dereje Wasihun, Addis Ababa Science and Technology University

Department of Mathematics

Tilahun Abebaw, Addis Ababa University

Department of Mathematics

Yibeltal Yitayew, Addis Ababa University

Department of Mathematics

Venkateswarlu Kolluru, Dr L. Bullayya College

Department of Mathematics

Published
2022-04-27
Section
Research articles

Journal Identifiers


eISSN: 2520-7997
print ISSN: 0379-2897