Keywords : uniform ring

On Generalized PF – Rings

Nazar H. Shuker; Husam Q. Mohammad

AL-Rafidain Journal of Computer Sciences and Mathematics, 2004, Volume 1, Issue 2, Pages 39-45
DOI: 10.33899/csmj.2004.164110

The aim of this paper is to extend several known results on GPF –rings. π-regular rings, PF-rings and GP-ideals are also considered. Among other results we prove that: If R is a uniform ring, then R is a GPF-ring if and only if every element of R is either non-zero divisor or nilpotent.