Two New Types of Rings Constructed from Quasiprime Ideals

Manal Ghanem and Hassan Al-Ezeh

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-9

Abstract:

Keigher showed that quasi-prime ideals in differential commutative rings are analogues of prime ideals in commutative rings. In that direction, he introduced and studied new types of differential rings using quasi-prime ideals of a differential ring. In the same sprit, we define and study two new types of differential rings which lead to the mirrors of the corresponding results on von Neumann regular rings and principally flat rings (PF-rings) in commutative rings, especially, for rings of positive characteristic.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:473413

DOI: 10.1155/2011/473413

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