π-Armendariz Rings and Related Concepts

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Areej M. Abduldai
Roaa M. Abidali

Abstract

In this paper we investigated some new properties of π-Armendariz rings and studied the relationships between π-Armendariz rings and central Armendariz rings, nil-Armendariz rings, semicommutative rings, skew Armendariz rings, α-compatible rings and others. We proved that if R is a central Armendariz, then R is π-Armendariz ring. Also we explained how skew Armendariz rings can be ?-Armendariz, for that we proved that if R is a skew Armendariz π-compatible ring, then R is π-Armendariz. Examples are given to illustrate the relations between concepts.

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1.
π-Armendariz Rings and Related Concepts. Baghdad Sci.J [Internet]. 2016 Dec. 4 [cited 2024 Mar. 29];13(4):0853. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2329
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How to Cite

1.
π-Armendariz Rings and Related Concepts. Baghdad Sci.J [Internet]. 2016 Dec. 4 [cited 2024 Mar. 29];13(4):0853. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2329

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