000 | 03336nam a22005415i 4500 | ||
---|---|---|---|
001 | 978-3-540-45096-2 | ||
003 | DE-He213 | ||
005 | 20190213151902.0 | ||
007 | cr nn 008mamaa | ||
008 | 150519s2003 gw | s |||| 0|eng d | ||
020 |
_a9783540450962 _9978-3-540-45096-2 |
||
024 | 7 |
_a10.1007/b10047 _2doi |
|
050 | 4 | _aQA150-272 | |
072 | 7 |
_aPBF _2bicssc |
|
072 | 7 |
_aMAT002000 _2bisacsh |
|
072 | 7 |
_aPBF _2thema |
|
082 | 0 | 4 |
_a512 _223 |
100 | 1 |
_aGabber, Ofer. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aAlmost Ring Theory _h[electronic resource] / _cby Ofer Gabber, Lorenzo Ramero. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2003. |
|
300 |
_aVI, 318 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1800 |
|
505 | 0 | _aIntroduction -- Homological Theory -- Almost Ring Theory -- Fine Study of Almost Projective Modules -- Henselian Pairs -- Valuation Theory -- Analytic Geometry -- Appendix -- References -- Index. | |
520 | _aThis 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. | ||
650 | 0 | _aAlgebra. | |
650 | 0 | _aGeometry, algebraic. | |
650 | 0 | _aField theory (Physics). | |
650 | 1 | 4 |
_aAlgebra. _0http://scigraph.springernature.com/things/product-market-codes/M11000 |
650 | 2 | 4 |
_aCommutative Rings and Algebras. _0http://scigraph.springernature.com/things/product-market-codes/M11043 |
650 | 2 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
650 | 2 | 4 |
_aCategory Theory, Homological Algebra. _0http://scigraph.springernature.com/things/product-market-codes/M11035 |
650 | 2 | 4 |
_aField Theory and Polynomials. _0http://scigraph.springernature.com/things/product-market-codes/M11051 |
700 | 1 |
_aRamero, Lorenzo. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540405948 |
776 | 0 | 8 |
_iPrinted edition: _z9783662203729 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1800 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/b10047 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c12222 _d12222 |