On the topology of valuation-theoretic representations of integrally closed domains

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Integrally closed domains with monomial presentations

Let A be a finitely generated commutative algebra over a field K with a presentation A = K〈X1, . . . ,Xn | R〉, where R is a set of monomial relations in the generators X1, . . . ,Xn. Necessary and sufficient conditions are found for A to be an integrally closed domain provided that the presentation involves at most two relations. The class group of such algebras A is calculated. Examples are gi...

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2018

ISSN: 0022-4049

DOI: 10.1016/j.jpaa.2017.09.010