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• W3202454464 abstract "Let D be an integral domain and w be the so-called w-operation on D. In this paper, we define the notion of w-ZPUI domains which is a natural generalization of ZPUI domains introduced by Olberding in 2000. We say that D is a w-ZPUI domain if every nonzero proper w-ideal I of D can be written as [Formula: see text] for some w-invertible ideal J of D and [Formula: see text] is a nonempty collection of pairwise w-comaximal prime w-ideals of D. Then, among other things, we show that D is a w-ZPUI domain if and only if the polynomial ring [Formula: see text] is a w-ZPUI domain, if and only if D is a strongly discrete independent ring of Krull type. We construct three types of new w-ZPUI domains from an old one by [Formula: see text]-construction, pullback, and [Formula: see text]-domains. We also show that given an abelian group G, there is a ZPUI domain with ideal class group G but not a Dedekind domain. Finally, we introduce and study the notion of w-ISP domains as a generalization of w-ZPUI domains." @default.
• W3202454464 created "2021-10-11" @default.
• W3202454464 creator A5051735535 @default.
• W3202454464 creator A5088420461 @default.
• W3202454464 date "2021-12-04" @default.
• W3202454464 modified "2023-09-25" @default.
• W3202454464 title "Ideal factorization in strongly discrete independent rings of Krull type" @default.
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• W3202454464 doi "https://doi.org/10.1142/s0219498823500457" @default.
• W3202454464 hasPublicationYear "2021" @default.
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