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A homological characterization of Krull domains II

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Abstract 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… Click to show full abstract

Abstract 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 domains. More precisely, it is shown that an integral domain is a Krull domain if and only if every submodule of a projective module is weak w-projective.

Keywords: characterization krull; homological characterization; krull; krull domains

Journal Title: Communications in Algebra
Year Published: 2019

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