Titlebook: Non-Noetherian Commutative Ring Theory; Scott T. Chapman,Sarah Glaz Book 2000 Springer Science+Business Media Dordrecht 2000 Dimension.Div

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Examples Built with D+M, A+XB[X] and other Pullback Constructions,. and indeterminate y, then . = . + .[.]. is a discrete rank one valuation domain with quotient field . and . + ..[.]. is a discrete rank two valuation domain with the same quotient field as ., namely, .(.). In [53], the purpose is to show that for each pair of positive integers . and . where . + l<

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Commutative Rings of Dimension 0,zero-dimensional ring, the subject of our Section 5. This paper contains an account of some of the work that has been done in the area of zero-dimensional commutative rings since the publication of Arapovic’s papers.

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Mori Domains,n the non-local case. A proof of the Mori-Nagata theorem close to the spirit of the present paper is that given by J.Querré and based on a result of Matijévic on the global transform (cf. e.g. [32, Chapter 3]).

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