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Pseudo-Noetherian Rings

Published online by Cambridge University Press:  20 November 2018

Kenneth P. McDowell*
Affiliation:
Department of Mathematics, McMaster University Hamilton, Ontario, Canada L8S 4K1
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In the latter part of the 1950’s some interesting papers appeared (e.g. [2] and [10]) which examined the relationships occurring between the purely algebraic and homological aspects of the theory of finitely generated modules over Noetherian rings. Many of these relationships remain valid if one considers the much wider class of rings determined by the following definition.

Definition. A commutative ring R is called pseudo-Noetherian if it satisfies the following two conditions.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1976