Root closure and R[X]

DOI10.1080/00927878908823855zbMath0699.13004OpenAlexW2115650237MaRDI QIDQ3476933

Thomas G. Lucas

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00927878908823855

zbMATH Keywords

polynomial ringvon Neumann regularcontent of a polynomialroot closed ringintegrally closed ringsintegrally closedness\(A+B\) ring

Mathematics Subject Classification ID

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 (2)

DIVISIBILITY CONDITIONS IN COMMUTATIVE RINGS WITH ZERODIVISORS ⋮ Valuative rings

Cites Work

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• Characterizing when R[X is integrally closed. II]
• Seminormality and root closure in polynomial rings and algebraic curves
• Root closure in integral domains
• Two annihilator conditions:property(A)and(A.C.)
• Valuations and Prufer Rings

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