Some characterizations of strongly π-regular rings

Authors

  • Mohammed Rashad AL-Kouri

DOI:

https://doi.org/10.60037/edu.v1i2.1008

Keywords:

Rings, Positive integers, abalian ring, Jacobson radical

Abstract

A ring R is said to be strongly π-regular if for every aR there exist a positive integers n, bR such that an = an+1b.  In this paper it has been proved that an abalian ring R is strongly π-regular if and only the set of all nilpotent element of R coincide with the Jacobson radical and R/J(R) is strongly-regular. In this study, some other characterizations of this kind of rings have been investigated and explored.

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Published

01/21/2023

How to Cite

AL-Kouri, M. R. (2023). Some characterizations of strongly π-regular rings. Journal of the Faculty of Education, 2(2), 53–59. https://doi.org/10.60037/edu.v1i2.1008

Issue

Section

الرئيسي

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