a course in universal algebra - s. burris and h.p. sankappanavar

a course in universal algebra - s. burris and h.p. sankappanavar

ID:14313326

大小:1.21 MB

页数:331页

时间:2018-07-27

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1、TheMillenniumEditionStanleyBurrisH.P.SankappanavarACourseinUniversalAlgebraWith36IllustrationscS.BurrisandH.P.SankappanavarAllRightsReservedThisEditionmaybecopiedforpersonaluseThisbookisdedicatedtoourchildrenKuroshPhillipBurrisVeenaandGeetaandSanjaySankappanavarPrefacetotheMillenniumEditio

2、nTheoriginal1981editionofACourseinUniversalAlgebrahasnowbeenLaTeXedsotheauthorscouldmaketheout-of-printSpringer-VerlagGradu-ateTextsinMathematicseditionavailableonceagain,withcorrections.ThesubjectofUniversalAlgebrahasflourishedmightilysince1981,andwestillbelievethatACourseinUniversalAlgebr

3、ao ersanexcellentintroductiontothesubject.SpecialthanksgotoLisD'AlessioforthesuperbjobofLaTeXingthisedition,andtoNSERCfortheirsupportwhichhasmadethisworkpossible.vAcknowledgmentsFirstwewouldliketoexpressgratitudetoourcolleagueswhohaveaddedsomuchvital-itytothesubjectofUniversalAlgebraduring

4、thepasttwentyyears.Oneoftheoriginalreasonsforwritingthisbookwastomakereadilyavailablethebeautifulworkonsheavesanddiscriminatorvarietieswhichwehadlearnedfrom,andlaterdevelopedwithH.Werner.Recentworkof,andwith,R.McKenzieonstructureanddecidabilitytheoryhasaddedtoourexcitement,andconviction,co

5、ncerningthedirectionsemphasizedinthisbook.InthelatestagesofpolishingthemanuscriptwereceivedvaluablesuggestionsfromM.Valeriote,W.Taylor,andthereviewerforSpringer-Verlag.Forhelpinproof-readingwealsothankA.Adamson,M.Albert,D.Higgs,H.Kommel,G.Krishnan,andH.Riedel.Agreatdealofcreditfortheexiste

6、nceofthe nalproductgoestoSandyTamowskiwhoseenthusiastictypinghasbeenaconstantinspiration.TheNaturalSciencesandEngineeringResearchCouncilofCanadahasgenerouslyfundedboththeresearchwhichhasprovidedmuchoftheimpetusforwritingthisbookaswellasthepreparationofthemanuscriptthroughNSERCGrantNo.A7256

7、.AlsothanksgotothePureMathematicsDepartmentoftheUniversityofWaterloofortheirkindhospitalityduringtheseveralvisitsofthesecondauthor,andtotheInstituteofMathematics,FederalUniversityofBahia,fortheirgenerouscooperationinthisventure.Thesecondauthorwouldmostofalllik

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