Manis Valuations and Prüfer Extensions II

• Main Authors: Knebusch, Manfred (Author), Kaiser, Tobias (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Lecture Notes in Mathematics, 2103
• Subjects: Mathematics.; Commutative algebra.; Commutative rings.; Commutative Rings and Algebras.

This volume is a sequel to “Manis Valuation and Prüfer Extensions I,” LNM1791. The Prüfer extensions of a commutative ring A are roughly those commutative ring extensions R / A,where commutative algebra is governed by Manis valuations on R with integral values on A. These valuations then turn out to...

Table of Contents:

• Overrings and PM-Spectra
• Approximation Theorems
• Kronecker extensions and star operations
• Basics on Manis valuations and Prufer extensions
• Multiplicative ideal theory
• PM-valuations and valuations of weaker type
• Overrings and PM-Spectra
• Approximation Theorems
• Kronecker extensions and star operations
• Appendix
• References
• Index.