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Proceedings of the American Mathematical Society

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Projective moduli of certain quotient rings

Author: Nadine Moore
Journal: Proc. Amer. Math. Soc. 56 (1976), 37-41
MSC: Primary 13C10; Secondary 13B99
MathSciNet review: 0435056
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Abstract: The author considers some properties of extension rings $ B$ of a ring $ A$ that satisfy the condition that every maximal ideal of $ B$ is an extension of some ideal of $ A$. Such extensions have been used by D. Lissner, K. Lønsted, N. Moore, and A. Simis to obtain rings for which the projective moduli are arbitrarily less than the dimension of the maximal spectra. It is shown that families of prime ideals of maximal type can be used to construct such extensions.

References [Enhancements On Off] (What's this?)

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Keywords: Projective modulus, families of prime ideals of maximal type, maximal spectrum, unimodular element, integral extension
Article copyright: © Copyright 1976 American Mathematical Society

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