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ID:15226813
大小:2.54 MB
页数:320页
时间:2018-08-02
《gtm256.a.course.in.commutative.algebra,.kemper,.gregor,.(2010,.isbn.978-3-642-03544-9)》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、GregorKemperACourseinCommutativeAlgebraMarch31,2009SpringerToIdaleixisandMartinContentsIntroduction..................................................9PartITheAlgebraGeometryLexicon1Hilbert’sNullstellensatz..................................171.1MaximalIdeals......
2、...................................181.2JacobsonRings........................................221.3CoordinateRings.......................................26Exercises..................................................292NoetherianandArtinianRings.....................
3、......332.1TheNoetherandArtinPropertyforRingsandModules.....332.2NoetherianRingsandModules...........................38Exercises..................................................403TheZariskiTopology.....................................433.1AffineVarieties.........
4、................................433.2Spectra...............................................463.3NoetherianandIrreducibleSpaces........................48Exercises..................................................524ASummaryoftheLexicon.............................
5、..554.1TrueGeometry:AffineVarieties..........................554.2AbstractGeometry:Spectra.............................56Exercises..................................................58PartIIDimension5KrullDimensionandTranscendenceDegree..............61Exercises......
6、............................................7056Contents6Localization..............................................73Exercises..................................................807ThePrincipalIdealTheorem.............................857.1Nakayama’sLemmaandthePrinc
7、ipalIdealTheorem.......857.2TheDimensionofFibers................................91Exercises..................................................978IntegralExtensions.......................................1038.1IntegralClosure........................................1
8、038.2LyingOver,GoingUpandGoingDown...................1098.3NoetherNormalization..................................114Exercises..................................
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