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Now showing items 11-12 of 12
On phi-Mori rings
(University of Houston, 2006)
A commutative ring R is said to be a phi-ring if its nilradical Nil(R) is both prime and comparable with each principal ideal. The name is derived from the natural map phi from the total quotient ring T(R) to R localized ...
On phi-Dedekind rings and phi-Krull rings
(University of Houston, 2005)
The purpose of this paper is to introduce two new classes of rings that are closely related to the classes of Dedekind domains and Krull domains. Let H = {R | R is a commutative ring with 1 and Nil(R) is a divided prime ...