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On Rings Whose Principal Ideals are Generalized Pure Ideals | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 5, Volume 4, Issue 1, 2007, Pages 63-68 PDF (194.8 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2007.163996 | ||
| Author | ||
| Husam Q. Mohammad | ||
| College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq | ||
| Abstract | ||
| This paper , introduces the notion of a right PIGP-ring (a ring in which every principal ideal of R is a GP-ideal ) with some of their basic properties ; we also give necessary and sufficient conditions for PIGP-rings to be a division ring and a regular ring . | ||
| Keywords | ||
| Generalized pure ideal; principal ideal; Divisor rings; regular rings | ||
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