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1、Kreuzer·RobbianoComputationalCommutativeAlgebra2MartinKreuzer·LorenzoRobbianoComputationalCommutativeAlgebra2123MartinKreuzerUniversitatDortmund¨FachbereichMathematik44221Dortmund,Germanye-mail:Martin.Kreuzer@mathematik.uni-dortmund.deLorenzoRobbianoUniversitadiGenova`DipartimentodiMatematicaVi
2、aDodecaneso3516146Genova,Italye-mail:robbiano@dima.unige.itLibraryofCongressControlNumber:00046340MathematicsSubjectClassification(2000):Primary:13P10;Secondary:68W30,13A02,13D40,14QxxISBN-103-540-25527-3Springer-VerlagBerlinHeidelbergISBN-13978-3-540-25527-7Springer-VerlagBerlinHeidelbergNewYor
3、kThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.Duplicationofthispublicationorpartsthereofisperm
4、ittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediaspringeronline.comcSpringer-VerlagBerlinHeidelbe
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6、SpringerLATEXmacropackageCoverdesign:design&productionGmbH,HeidelbergSPIN:1100021146/TechBooks-543210–Printedonacid-freepaperForewordHofstadter’sLaw:Italwaystakeslongerthanyouthinkitwilltake,evenifyoutakeintoaccountHofstadter’sLaw.(DouglasR.Hofstadter)DearReader,whydidwebegintheforewordofthisse
7、condvolumewiththesamequoteasthefirst?Therewewrotethatittookthreeyearsofintenseworkjusttofillthreecentimetersofyourbookshelf.Thecompletionofthisvolumetookfouryearsanditisaboutfourcentimetersthick.Thuswehaveaconfirmedinvariantwhichgove
