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Keywords

Generalized pure ideal
principal ideal
Divisor rings
regular rings

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 .  
https://doi.org/10.33899/csmj.2007.163996
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