欢迎来到天天文库
浏览记录
ID:14209785
大小:2.54 MB
页数:320页
时间:2018-07-26
《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...........................332.1TheNoetherandArtinP
3、ropertyforRingsandModules.....332.2NoetherianRingsandModules...........................38Exercises..................................................403TheZariskiTopology.....................................433.1AffineVarieties.........................................433.2Spectra.
4、..............................................463.3NoetherianandIrreducibleSpaces........................48Exercises..................................................524ASummaryoftheLexicon...............................554.1TrueGeometry:AffineVarieties..........................5
5、54.2AbstractGeometry:Spectra.............................56Exercises..................................................58PartIIDimension5KrullDimensionandTranscendenceDegree..............61Exercises..................................................7056Contents6Localization......
6、........................................73Exercises..................................................807ThePrincipalIdealTheorem.............................857.1Nakayama’sLemmaandthePrincipalIdealTheorem.......857.2TheDimensionofFibers................................91Exercise
7、s..................................................978IntegralExtensions.......................................1038.1IntegralClosure........................................1038.2LyingOver,GoingUpandGoingDown...................1098.3NoetherNormalization..........................
8、........114Exercises..................................
此文档下载收益归作者所有