A homological characterization of Krull domains II

F Wang, L Qiao - Communications in Algebra, 2019 - Taylor & Francis
In this article, we introduce a new type of projective modules, called the weak w-projective
module. By using this type of modules, we give a homological characterization of Krull …

A homological characterization of Krull domains

F Wang, DC Zhou - 대한수학회보, 2018 - dbpia.co.kr
Let $ R $ be a commutative ring. In this paper, the $ w $-projective Basis Lemma for $ w $-
projective modules is given. Then it is shown that for a domain, nonzero $ w $-projective …

On w-projective modules and Krull domains

Y Pu, W Zhao, G Tang, F Wang - Communications in Algebra, 2022 - Taylor & Francis
Let R be a commutative ring with identity. In this paper, w∞-projective modules are
introduced and studied. It is shown that every R-module has a special w∞-projective …

Krull modules

H Kim, MO Kim - Algebra Colloquium, 2013 - World Scientific
In this article, we generalize the concepts of several classes of domains (which are related to
Krull domains) to torsion-free modules, and show that for a faithful multiplication module M …

Krull modules and completely integrally closed modules

MM Nurwigantara, IE Wijayanti… - Journal of Algebra …, 2022 - World Scientific
Let M be a torsion-free module over an integral domain D with quotient field K. We define a
concept of completely integrally closed modules in order to study Krull modules. It is shown …

[HTML][HTML] Pure projective modules over chain domains with Krull dimension

P Příhoda, G Puninski - Journal of Algebra, 2016 - Elsevier
Pure projective modules over chain domains with Krull dimension - ScienceDirect Skip to main
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[PDF][PDF] On semi-Krull domains

V Barucci, S Gabelli, M Roitman - Journal of Algebra, 1992 - core.ac.uk
Semi-Krull domains have been introduced by E. Matlis in [M]. An integral domain A is semi-
Krull if and only if A=(7 {A p}, where P ranges over the set of height one primes of A, this …

Dedekind modules

M Alkan, B Saraç, Y Tiraş - Communications in Algebra, 2005 - Taylor & Francis
In this paper, the authors introduce the concept of integrally closed modules and
characterize Dedekind modules and Dedekind domains. They also show that a given …

Divisible is injective over Krull domains

S El Baghdadi, H Kim, F Wang - Communications in Algebra, 2016 - Taylor & Francis
Full article: Divisible Is Injective over Krull Domains Skip to Main Content Taylor and Francis
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[PDF][PDF] On the converse of a well-known fact about Krull domains

BG Kang - Journal of Algebra, 1989 - core.ac.uk
Although Krull domains have been an interesting subject in commutative ring theory, not
many characterizations of Krull domains are known compared to those of Priifer domains …