幾類(lèi)相對(duì)稠密補(bǔ)模.pdf

1、Y769053學(xué)校編號(hào)：學(xué)號(hào)：l壁三2墨2002245福建師范大學(xué)碩士學(xué)位論文幾類(lèi)相對(duì)稠密補(bǔ)模SomeDenseSupplementedModulesRelativetoATorsionTheory王平學(xué)科專(zhuān)業(yè)：薹毯墊蘭研究方向：岱墼玨迨指導(dǎo)教師：空掛塾援申請(qǐng)學(xué)位級(jí)別：壟主亟論文提交日期論文評(píng)閱人論文答辯日期答辯委員會(huì)主席學(xué)位授予單位學(xué)位授予日期二00五年五月2QQ生4旦：2QQj生￡且：睦渲堡煎豎：握殛婭蓮太堂：2QQ生且ABSTRA

2、CTHereditarytorsiontheorieshavebeendevelopedsincethe1950’Sor1960，SandhavebeenextensivelystudiedbyGolan，Gabricl，Disckson，etcUsingtheclassificationofinjectivemodules，Golan【9]formulatedthetheoryAllkindsofconceptsofthegenera

3、lmoduleswerecorrespondinglygeneralizedandmanypropertiesofhereditarytorsiontheorieswereobtainedInthisthesis，wewillinverstigatetherelationshipamongsomeelasscsofmoduleswithrespecttoatorsionthcoryinparticular，westudysomedens

4、esupplementedmodulesrelativetoatorsiontheoryThispaperisdividedintofivesections：Insectionone，wemainlyprovidesomebasicconceptswhichcanbefoundin【9]Insectiontwo，Weinverstigatesom(jdensesupplementedmoduleswithrespecttoatorsio

5、ntheory，suchasrdensesupplementedmodule，下一weaklydensesupplemcntedmodule，1confIntclysupplementedmodule，andTcofintelyweaklysupplementedmodule，etcInsectionthree，weindroducetheconceptofrmaximalsubmodule，andusingit，rcofintelyw

6、eaklysupplementedmoduleischaracterizedInsectionfour，wemainlydiscussTstronglylocalmodulewhichisaclassofmodulesbeingdirectlyconnectedwithTsmallsubmodulesInsectionfive，weintroducetheconceptofgeneralizationofvsmallsubmodulei