Two New Types of Rings Constructed from Quasiprime Ideals

نویسندگان

  • Manal Ghanem
  • Hassan Al-Ezeh
چکیده

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.

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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2011  شماره 

صفحات  -

تاریخ انتشار 2011