Extensions \(R[\alpha-a]\cap R[(\alpha-a)^{-1}]\) with an anti-integral element \(\alpha\) are unchanged for any \(a\in R\)
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Publication:5929455
DOI10.1006/jabr.2000.8499zbMath0985.13002OpenAlexW2077573385MaRDI QIDQ5929455
Ken-ichi Yoshida, Susumu Oda, Junro Sato
Publication date: 28 October 2001
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.2000.8499
Integral domains (13G05) Algebraic numbers; rings of algebraic integers (11R04) Extension theory of commutative rings (13B02) Integral dependence in commutative rings; going up, going down (13B21)
Cites Work
- High degree anti-integral extensions of Noetherian domains
- Some properties of extensions R[α ⋂ R[α-p] over noetherian domains R]
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