The Resource Almost Ring Theory, by Ofer Gabber, Lorenzo Ramero, (electronic resource)

Almost Ring Theory, by Ofer Gabber, Lorenzo Ramero, (electronic resource)

Label
Almost Ring Theory
Title
Almost Ring Theory
Statement of responsibility
by Ofer Gabber, Lorenzo Ramero
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
This book develops thorough and complete foundations for the method of almost etale extensions, which is at the basis of Faltings' approach to p-adic Hodge theory. The central notion is that of an "almost ring". Almost rings are the commutative unitary monoids in a tensor category obtained as a quotient V-Mod/S of the category V-Mod of modules over a fixed ring V; the subcategory S consists of all modules annihilated by a fixed ideal m of V, satisfying certain natural conditions. The reader is assumed to be familiar with general categorical notions, some basic commutative algebra and some advanced homological algebra (derived categories, simplicial methods). Apart from these general prerequisites, the text is as self-contained as possible. One novel feature of the book - compared with Faltings' earlier treatment - is the systematic exploitation of the cotangent complex, especially for the study of deformations of almost algebras
Member of
http://library.link/vocab/creatorName
Gabber, Ofer
Dewey number
  • 512/.44
  • 510 s
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • MUA3JDpJq-Q
  • pNRbIv72BLM
Image bit depth
0
Language note
English
LC call number
QA150-272
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
Ramero, Lorenzo.
Series statement
Lecture Notes in Mathematics,
Series volume
1800
http://library.link/vocab/subjectName
  • Algebra
  • Geometry, algebraic
  • Field theory (Physics)
  • Algebra
  • Commutative Rings and Algebras
  • Algebraic Geometry
  • Category Theory, Homological Algebra
  • Field Theory and Polynomials
Label
Almost Ring Theory, by Ofer Gabber, Lorenzo Ramero, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
Introduction -- Homological Theory -- Almost Ring Theory -- Fine Study of Almost Projective Modules -- Henselian Pairs -- Valuation Theory -- Analytic Geometry -- Appendix -- References -- Index
Dimensions
unknown
Edition
1st ed. 2003.
Extent
1 online resource (VI, 318 p.)
File format
multiple file formats
Form of item
online
Isbn
9783540450962
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/b10047
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)1000000000233129
  • (SSID)ssj0000321237
  • (PQKBManifestationID)11255494
  • (PQKBTitleCode)TC0000321237
  • (PQKBWorkID)10262862
  • (PQKB)10326484
  • (DE-He213)978-3-540-45096-2
  • (EXLCZ)991000000000233129
Label
Almost Ring Theory, by Ofer Gabber, Lorenzo Ramero, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
Introduction -- Homological Theory -- Almost Ring Theory -- Fine Study of Almost Projective Modules -- Henselian Pairs -- Valuation Theory -- Analytic Geometry -- Appendix -- References -- Index
Dimensions
unknown
Edition
1st ed. 2003.
Extent
1 online resource (VI, 318 p.)
File format
multiple file formats
Form of item
online
Isbn
9783540450962
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/b10047
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)1000000000233129
  • (SSID)ssj0000321237
  • (PQKBManifestationID)11255494
  • (PQKBTitleCode)TC0000321237
  • (PQKBWorkID)10262862
  • (PQKB)10326484
  • (DE-He213)978-3-540-45096-2
  • (EXLCZ)991000000000233129

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