Journal ArticleDOI
Quasi-Schreier Domains II
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In this paper, the authors studied a class of integral domains characterized by the property that every nonzero finite intersection of principal ideals is a directed union of invertible ideals, and they proved that every directed union is a union of the principal ideals.Abstract:
We study a class of integral domains characterized by the property that every nonzero finite intersection of principal ideals is a directed union of invertible ideals.read more
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Book ChapterDOI
On v -domains: a survey
Marco Fontana,Muhammad Zafrullah +1 more
TL;DR: A survey of v-domains can be found in this article, where the authors present old, recent and new characterizations of vdomains along with some historical remarks, as well as the relationship of Vdomains with their various specializations and generalizations.
Posted Content
Unique representation domains, II
TL;DR: In this article, the authors define the notion of unique representation domain (URD) as a domain R whose *-ideal can be expressed as a product of pairwise *-comaximal ideals with prime radical.
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t-Schreier Domains
TL;DR: In this article, the authors studied the class of integral domains whose group of t-invertible t-ideals satisfies the Riesz interpolation property, under the name t-Schreier.
References
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Book
The Divisor Class Group of a Krull Domain
TL;DR: Danilov's results as discussed by the authors show that every Abelian group is an Ideal Class Group and every class of Dedekind Domains is an ideal class group of a Krull ring.
Journal ArticleDOI
Bezout rings and their subrings
TL;DR: In this paper, the authors discuss several natural methods of constructing Bezout rings from other rings, leading to a wide class of BeZout rings which are not principal ideal domains.
Journal ArticleDOI
Pairs of Rings with the Same Prime Ideals
David F. Anderson,David E. Dobbs +1 more
TL;DR: In this paper, it was shown that the partners in an extension of commutative rings R ⊂ T have the same prime ideals, i.e., in which Spec(R) = Spec(T) is a pseudo-valuation domain and T is a suitable valuation overring.