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- W2345791942 abstract "The goal of this thesis is to provide an new generalization of Cohen-Kaplansky domains,stemming from questions related to valuation domains. Recall that a Cohen-Kaplansky domain isan atomic integral domain that contains only a nite number of irreducible elements (up to units).In the new generalization presented in this thesis, we remove the atomic condition required in thede nition of a Cohen-Kaplansky domain and add in the extra condition that our integral domainhas nitely many irreducible elements, say 1; 2; ; n, such that for every nonzero nonunit y inthe domain there exists an irreducible element, say i with 1 i n, such that i j y." @default.
- W2345791942 created "2016-06-24" @default.
- W2345791942 creator A5041706080 @default.
- W2345791942 date "2015-01-01" @default.
- W2345791942 modified "2023-09-24" @default.
- W2345791942 title "A new generalization of Cohen-Kaplansky domains" @default.
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- W2345791942 hasPublicationYear "2015" @default.
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