Publication:
Strongly 0-Dimensional Rings

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Date

2013

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TAYLOR & FRANCIS INC

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Abstract

A commutative ring R with identity is called a strongly 0-dimensional ring if whenever a prime ideal P of R, contains the intersection of any family of ideals, then P contains one of the ideals of the family. In this article, we establish several equivalent conditions for a commutative ring R with identity to be a strongly 0-dimensional ring. We also characterize Artinian rings in terms of strongly 0-dimensional rings.

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Compactly packed rings, Regular rings, Q-rings, Strongly prime ideals, Strongly 0-dimensional rings, Primary 13A15, Secondary 13A99, COMMUTATIVE RINGS, PRIME IDEALS, PROPERTY

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https://hdl.handle.net/11424/231359

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