Some finiteness conditions on the set of overrings of a phi-ring

Let H = {R | R is a commutative ring and Nil(R) is a divided prime ideal of R}. For a ring R in H with total quotient ring T(R), Let phi be the natural ring homomorphism from T(R) into R_Nil(R). An integral domain R is said to be an FC-domain (in the sense of Gilmer) if each chain of distinct overri...

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Bibliographic Details
Main Author: Badawi, Ayman (author)
Other Authors: Jaballah, Ali (author)
Format: article
Published: 2008
Online Access:http://hdl.handle.net/11073/9225
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