Some Classes of Weakly Prime Center Rings

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Dorbidi Hamid Reza

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Journal Paper

Paper Information

Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2023 | Volume:18 | Issue:2 Page(s): 25-30

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Information Journal Paper

Title

Some Classes of Weakly Prime Center Rings

Author(s)

Dorbidi Hamid Reza | Issue Writer Certificate

Keywords

Weakly prime center ringsQ4

Duo ringsQ4

Idempotent liftingQ4

Abstract

Let R be a ring. The ring R is called weakly prime center(WPC ring) if ab∈Z(R) implies that aRb is an ideal of R. In this paper, we prove that every left(right) duo ring is a WPC ring. Also we prove that some classes of rings with nilpotent Jacobson radical are WPC rings. Finally, we prove that a simple ring is a WPC ring if and only if it is a domain

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