The \(S\)-transform and its dual with applications to Prüfer extensions

zbMath0880.13002MaRDI QIDQ2563975

C. P. L. Rhodes

Publication date: 6 February 1997

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1996__95__201_0

zbMATH Keywords

localisationPrüfer ringmaximal \(S\)-idealstandard ideal transform

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Ideals and multiplicative ideal theory in commutative rings (13A15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Rings of fractions and localization for commutative rings (13B30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The S-transform and the ideal transform
• When the dual of an ideal is a ring
• Overrings of Prüfer domains
• Overrings of Prüfer domains. II
• The ideal transform and overrings of an integral domain
• On flat overrings, ideal transforms and generalized transforms of a commutative ring
• A treatise on the 14-th problem of Hilbert
• When is a Flat Algebra of Finite Type?
• Generalizations of Multiplicative Ideal Theory to Commutative Rings with Zerodivisors
• On valuation subalgebras and their centres
• Relarively prüfer pairs
• A Quasi-Commutative Ring That is Not Neo-Commutative
• Prüfer rings with zero divisors.
• Valuations and Prufer Rings

This page was built for publication: The \(S\)-transform and its dual with applications to Prüfer extensions