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- W2066581167 abstract "A domainR is called an absolutely S-domain (for short, AS-domain) if each domainT such thatRTqf(R) is an S-domain. We show thatR is an AS-domain if and only if for each valuation overringV ofR and each height one prime idealq ofV , the extensionR/(q R) �V/q is algebraic. A Noetherian domainR is an AS-domain if and only if dim(R) � 1. In Section 2, we study a class of R-subalgebras of R(X) which share many spectral properties with the polynomial ringR(X) and which we call pseudo-polynomial rings. Section 3 is devoted to an affirmative answer to D. E. Dobbs's question of whether a survival pair must be a lying-over pair in the case of transcendental extension." @default.
- W2066581167 created "2016-06-24" @default.
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- W2066581167 date "2002-01-01" @default.
- W2066581167 modified "2023-09-28" @default.
- W2066581167 title "Absolutely S-domains and pseudo-polynomial rings" @default.
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- W2066581167 doi "https://doi.org/10.4064/cm94-1-1" @default.
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