拉回和拉回環(huán)的撓理論.pdf

1、Y769065學(xué)校編號；!鮑2福建師范大學(xué)碩士學(xué)位論文拉回和拉回環(huán)的撓理論TheTorsionTheoryoverPullbackandPullbackRings王明鋒學(xué)科專業(yè)：羞蛩熬堂研究方向：岱熬疊途指導(dǎo)教師：圭拄熬授申請學(xué)位級別t堡堂亟論文提交日期：論文評閱人：論文答辯日期：答辯委員會主席：學(xué)位授予單位：學(xué)位授予日期：二oo五年五月2QQ生且掛堊宙熬援割曼蘊(yùn)數(shù)授2QQ璽且蓬渣堡熬援強(qiáng)臻啞蓮太堂2QQ生且AbstractHeredi

2、tarytorsiontheorieshavebeendevelopedsincethe1950’s1960‘sandhavebeenextensivelystudiedbyGolan，Gabrid，dickson，stenstrom，etcInthisthesis，Wediscussthecategoriesofmodulesconstructedbypullbackringsandtorsionpairsoverpullbackri

3、ngsInthefirstsectionsomepreliminariesarementionedInordertobuildagoodfoundationforlaterparts，weprovidedsomebasicconceptsandpropertiesofhereditarytorsiontheoriesandpullbackwhichcanbefoundin[1][21Inthesecondsectionweextendt

4、hepullbacktonpullback，andthenstudysomepropertiesofnpullbackInthethirdsection，wediscusstherelationshipamonyat(M)andAnnM(h)，且(Ⅳt)andAnnN(厶一t)，B(M)andM肌M，仇(Ⅳt)and?。痓—t批，andthenprovetheisomorphismofthecategoriesWandMAtlastwe

5、discussthecategoriesofmodulesconstructedbypullbackringsInthelastsection，wefirstlyprovethe蜘ectivemapfromR—tarsinto(R1一tars，颶tars)bytheisomorphismofcategoriesz(R)and￡(z(矗1)，工(兄2))，andtheninverstigatethetorsionpairsconstruc