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Almost Krull domains and their rings of integer–valued polynomials

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Abstract We investigate some ring theoretic properties of almost Krull domains. By using the language of star operations, we shed new light on the work of Pirtle on almost Krull… Click to show full abstract

Abstract We investigate some ring theoretic properties of almost Krull domains. By using the language of star operations, we shed new light on the work of Pirtle on almost Krull domains. That allows us to give a new characterization of these domains. On the other hand, we show that Int ( D ) issued from an almost Krull domain is D–locally free and we give a complete characterization of when Int ( D ) is an almost Krull domain.

Keywords: domains rings; almost krull; rings integer; integer valued; valued polynomials; krull domains

Journal Title: Journal of Pure and Applied Algebra
Year Published: 2020

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