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Theoretical study reveals an exact characterization of Krull domains in commutative algebra, highlighting the role of Mori domains and Serre's regularity condition.
In this paper we show that an integral domain D is a Krull domain if and only if D is a Mori domain, D satisfies Serre's condition (R₁) and every associated prime of a principal ideal has height one.
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Sahandi et al. (2026) studied this question.
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