Let R have an identity. A prime ideal Pin R is called a minimal prime ideal of

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Let R have an identity. A prime ideal Pin R is called a minimal prime ideal of the ideal I if I ⊂ P and there is no prime ideal P' such that I ⊂ P'

(a) If an ideal I of R is contained in a prime ideal P of R, then P contains a minimal prime ideal of I.

(b) Every proper ideal possesses at least one minimal prime ideal.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Aug 18, 2023 06:43 AM

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Let R have an identity. A prime ideal Pin R is called a minimal prime ideal of

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Algebra Graduate Texts In Mathematics 73

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