On Generalized PF – Rings | ||
AL-Rafidain Journal of Computer Sciences and Mathematics | ||
Article 4, Volume 1, Issue 2, December 2004, Pages 39-45 PDF (286.84 K) | ||
Document Type: Research Paper | ||
DOI: 10.33899/csmj.2004.164110 | ||
Authors | ||
Nazar H. Shuker1; Husam Q. Mohammad2 | ||
1College of Computer Science and Mathematics University of Mosul, Mosul, Iraq | ||
2College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq | ||
Abstract | ||
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. | ||
Keywords | ||
Generalized PF-ring; uniform ring; pure ideal | ||
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