The Resource Manis Valuations and Prüfer Extensions II, by Manfred Knebusch, Tobias Kaiser, (electronic resource)

Manis Valuations and Prüfer Extensions II, by Manfred Knebusch, Tobias Kaiser, (electronic resource)

Label
Manis Valuations and Prüfer Extensions II
Title
Manis Valuations and Prüfer Extensions II
Statement of responsibility
by Manfred Knebusch, Tobias Kaiser
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • 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
http://library.link/vocab/creatorName
Knebusch, Manfred
Dewey number
512.44
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • QITV0eakR7s
  • nG-VkljK1oQ
Image bit depth
0
Language note
English
LC call number
QA251.3
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Kaiser, Tobias.
Series statement
Lecture Notes in Mathematics,
Series volume
2103
http://library.link/vocab/subjectName
  • Algebra
  • Commutative Rings and Algebras
Label
Manis Valuations and Prüfer Extensions II, by Manfred Knebusch, Tobias Kaiser, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Edition
1st ed. 2014.
Extent
1 online resource (XII, 190 p.)
File format
multiple file formats
Form of item
online
Isbn
9783319032122
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-03212-2
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3710000000094973
  • (DE-He213)978-3-319-03212-2
  • (SSID)ssj0001187318
  • (PQKBManifestationID)11753657
  • (PQKBTitleCode)TC0001187318
  • (PQKBWorkID)11257233
  • (PQKB)10003889
  • (MiAaPQ)EBC3107078
  • (EXLCZ)993710000000094973
Label
Manis Valuations and Prüfer Extensions II, by Manfred Knebusch, Tobias Kaiser, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Edition
1st ed. 2014.
Extent
1 online resource (XII, 190 p.)
File format
multiple file formats
Form of item
online
Isbn
9783319032122
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-03212-2
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3710000000094973
  • (DE-He213)978-3-319-03212-2
  • (SSID)ssj0001187318
  • (PQKBManifestationID)11753657
  • (PQKBTitleCode)TC0001187318
  • (PQKBWorkID)11257233
  • (PQKB)10003889
  • (MiAaPQ)EBC3107078
  • (EXLCZ)993710000000094973

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