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On some properties of polynomials rings

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  • H. Al-Ezeh

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.

Suggested Citation

  • H. Al-Ezeh, 1987. "On some properties of polynomials rings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 10, pages 1-4, January.
    • Handle: RePEc:hin:jijmms:785090
    DOI: 10.1155/S0161171287000371
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    Cited by:

    1. Dong Kyu Kim & Jung Wook Lim, 2020. "Composite Hurwitz Rings as PF-Rings and PP-Rings," Mathematics, MDPI, vol. 8(1), pages 1-15, January.

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