On some properties of polynomials rings

H. Al-Ezeh

International Journal of Mathematics and Mathematical Sciences, 1987, vol. 10, 1-4

Abstract:

For a commutative ring with unity R , it is proved that R is a P F -ring if and only if the annihilator, ann R ( a ) , for each a ϵ R is a pure ideal in R , Also it is proved that the polynomial ring, R [ X ] , is a P F -ring if and only if R is a P F -ring. Finally, we prove that R is a P P -ring if and only if R [ X ] is a P P -ring.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:785090

DOI: 10.1155/S0161171287000371

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