Coverart for item
The Resource Manis valuations and Prüfer extensions II, Manfred Knebusch, Tobias Kaiser

Manis valuations and Prüfer extensions II, Manfred Knebusch, Tobias Kaiser

Label
Manis valuations and Prüfer extensions II
Title
Manis valuations and Prüfer extensions II
Statement of responsibility
Manfred Knebusch, Tobias Kaiser
Creator
Contributor
Subject
Language
eng
Summary
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 belong to the particularly amenable subclass of PM (=Prüfer-Manis) valuations. While in Volume I Prüfer extensions in general and individual PM valuations were studied, now the focus is on families of PM valuations. One highlight is the presentation of a very general and deep approximation theorem for PM valuations, going back to Joachim Gräter's work in 1980, a far-reaching extension of the classical weak approximation theorem in arithmetic. Another highlight is a theory of so called 'Kronecker extensions, ' where PM valuations are put to use in arbitrary commutative ring extensions in a way that ultimately goes back to the work of Leopold Kronecker
Member of
Cataloging source
UNA
http://library.link/vocab/creatorName
Knebusch, Manfred
Dewey number
512.44
Index
index present
LC call number
QA3
LC item number
.L28 no.2103eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1975-
http://library.link/vocab/relatedWorkOrContributorName
Kaiser, Tobias
Series statement
Lecture notes in mathematics,
Series volume
2103
http://library.link/vocab/subjectName
  • Prüfer rings
  • Commutative rings
  • Commutative algebra
  • Approximation theory
  • Approximation theory
  • Commutative algebra
  • Commutative rings
  • Prüfer rings
Label
Manis valuations and Prüfer extensions II, Manfred Knebusch, Tobias Kaiser
Instantiates
Publication
Copyright
Note
Continuation of: Manis valuations and Prüfer extensions I (Lecture notes in mathematics (Springer-Verlag) ; 1791)
Bibliography note
Includes bibliographical references (pages 181-182) and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Overrings and PM-Spectra -- Approximation theorems -- Kronecker extensions and Star operations
Control code
877878039
Extent
1 online resource (xii, 190 pages).
Form of item
online
Isbn
9783319032122
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-03212-2
Specific material designation
remote
System control number
(OCoLC)877878039
Label
Manis valuations and Prüfer extensions II, Manfred Knebusch, Tobias Kaiser
Publication
Copyright
Note
Continuation of: Manis valuations and Prüfer extensions I (Lecture notes in mathematics (Springer-Verlag) ; 1791)
Bibliography note
Includes bibliographical references (pages 181-182) and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Overrings and PM-Spectra -- Approximation theorems -- Kronecker extensions and Star operations
Control code
877878039
Extent
1 online resource (xii, 190 pages).
Form of item
online
Isbn
9783319032122
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-03212-2
Specific material designation
remote
System control number
(OCoLC)877878039

Library Locations

    • Ellis LibraryBorrow it
      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
Processing Feedback ...