On Rings Whose Principal Ideals are Generalized Pure Ideals

Section: Research Paper
Issue
Vol. 4 No. 1 (2007): Volume 4 Issue 1
Pages
63-68

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 .

References

Author

Husam Q. Mohammad

College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq

Identifiers

DOI: 10.33899/csmj.2007.163996

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On Rings Whose Principal Ideals are Generalized Pure Ideals. (2007). AL-Rafidain Journal of Computer Sciences and Mathematics, 4(1), 63-68. https://doi.org/10.33899/csmj.2007.163996
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How to Cite

On Rings Whose Principal Ideals are Generalized Pure Ideals. (2007). AL-Rafidain Journal of Computer Sciences and Mathematics, 4(1), 63-68. https://doi.org/10.33899/csmj.2007.163996