Examples of -Skew -Armendariz Rings

Authors

  • Areej M. Abduldaim Branch of Mathematics and Computer Applications, Applied Sciences Department, University of Technology, Baghdad, Iraq
  • Ahmed M. Ajaj Branch of Mathematics and Computer Applications, Applied Sciences Department, University of Technology, Baghdad, Iraq

Keywords:

-skew -Armendariz rings, weak -skew Armendariz, semicommut-ative ring, weak -rigid rings

Abstract

In this paper extensive examples and related counterexamples of the category of -skew -Armendariz rings are given. This category of rings regards a new generalization for the concepts of -skew Armendariz and skew -Armendariz rings. A ring is called -skew -Armendariz if for any ( ) Σ and ( ) Σ such that ( ) ( ) ( ), then ( ) ( ) for each and . First some general properties of -skew -Armendariz rings are studied and then relations between -skew -Armendariz rings and other related rings are investigated. Also various examples of non -skew -Armendariz rings are established.

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Published

2022-01-13

Issue

Section

Mathematics

How to Cite

Examples of -Skew -Armendariz Rings . (2022). Iraqi Journal of Science, 58(1C), 482-489. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/6122

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