The integral closure of R(X) and R(X)

DOI10.1080/00927879708825893zbMath0899.13007OpenAlexW2090120307MaRDI QIDQ4361091

Thomas G. Lucas

Publication date: 3 December 1997

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879708825893

zbMATH Keywords

nilradicalintegral closurepolynomial ring extensionfinite fractions

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Rings of fractions and localization for commutative rings (13B30)

Related Items (5)

Prüfer conditions in the Nagata ring and the Serre’s conjecture ring ⋮ Invertibility, Semistar Operations, and the Ring of Finite Fractions ⋮ The Mori property in rings with zero divisors. II. ⋮ Two generalizations of projective modules and their applications ⋮ Krull rings, Prüfer \(v\)-multiplication rings and the ring of finite fractions

Cites Work

• Characterizing when R[X is integrally closed. II]
• Seminormality and root closure in polynomial rings and algebraic curves
• Strong Prüfer rings and the ring of finite fractions
• On the divisors of monic polynomials over a commutative ring
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• Unnamed Item

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