On the integral closedness of the ring \(R [\alpha] \cap R [1/ \alpha]\)

DOI10.1006/JABR.1998.7778zbMath1053.13001OpenAlexW2038102587MaRDI QIDQ1293108

Satoru Taeda, Ken-ichi Yoshida, Susumu Oda

Publication date: 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7778

zbMATH Keywords

anti-integral elementintegral closuresuper-primitive element

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Ideals and multiplicative ideal theory in commutative rings (13A15)

Cites Work

• High degree anti-integral extensions of Noetherian domains
• On the integral closure of a noetherian domain in its simple extension
• Some properties of extensions R[α ⋂ R[α^-p] over noetherian domains R]
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