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1、ClassicalFiniteTransformationSemigroupsAlgebraandApplicationsVolume9ManagingEditor:AlainVerschorenUniversityofAntwerp,BelgiumSeriesEditors:AliceFialowskiEötvösLorándUniversity,HungaryEricFriedlanderNorthwesternUniversity,USAJohnGreenleesSheffieldUniversity,UKGerhardHissAachenUniversity,GermanyIek
2、eMoerdijkUtrechtUniversity,TheNetherlandsIdunReitenNorwegianUniversityofScienceandTechnology,NorwayChristophSchweigertHamburgUniversity,GermanyMinaTeicherBar-llanUniversity,IsraelAlgebraandApplicationsaimstopublishwellwrittenandcarefullyrefereedmono-graphswithup-to-dateinformationaboutprogressin
3、allfieldsofalgebra,itsclassicalimpactoncommutativeandnoncommutativealgebraicanddifferentialge-ometry,K-theoryandalgebraictopology,aswellasapplicationsinrelateddomains,suchasnumbertheory,homotopyand(co)homologytheory,physicsanddiscretemathematics.Particularemphasiswillbeputonstate-of-the-arttopics
4、suchasringsofdifferentialoperators,Liealgebrasandsuper-algebras,groupringsandalgebras,C*algebras,Kac-Moodytheory,arithmeticalgebraicgeometry,Hopfalgebrasandquantumgroups,aswellastheirapplications.Inaddition,AlgebraandApplicationswillalsopublishmonographsdedicatedtocomputationalaspectsofthesetopi
5、csaswellasalgebraicandgeometricmethodsincomputerscience.OlexandrGanyushkin•VolodymyrMazorchukClassicalFiniteTransformationSemigroupsAnIntroductionABCOlexandrGanyushkinVolodymyrMazorchukKyivTarasShevchenkoUniversityUppsalaUniversityVolodymyrskaStreet,64Dept.MathematicsKyivSE-75106UppsalaUkraineSw
6、edenganiyshk@univ.kiev.uamazor@math.uu.seISBN:978-1-84800-280-7e-ISBN:978-1-84800-281-4DOI:10.1007/978-1-84800-281-4BritishLibraryCataloguinginPublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibraryLibraryofCongressControlNumber:2008941019cSpringer-VerlagLondonLimited2009Apar
7、tfromanyfairdealingforthepurposesofresearchorprivatestudy,orcriticismorreview,asper-mittedundertheCopyright,DesignsandPatentsAct1988,thispublicationmayonlybereproduced,storedortransmitted,inanyformorbyanymeans,withthepriorpe