Characterizing When R[ X ] is Integrally Closed

DOI10.2307/2047044zbMath0692.13015OpenAlexW4240157523MaRDI QIDQ3033875

Thomas G. Lucas

Publication date: 1989

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2047044

zbMATH Keywords

dense idealintegrally closed polynomial ringtotal quotient of polynomial ring

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25)

Related Items (6)

Module-theoretic characterizations of the ring of finite fractions of a commutative ring ⋮ Characterizing when R[X is integrally closed. II] ⋮ A new semistar operation on a commutative ring and its applications ⋮ Local types of Prüfer rings ⋮ Characterizing when the rings \(R\) and \(R[T\) are integrally closed via linear equations over \(R\)] ⋮ Krull rings, Prüfer \(v\)-multiplication rings and the ring of finite fractions

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