余局部化與相對(duì)蓋包.pdf

1、Y769055學(xué)校編號(hào)t≥籃叢福建師范大學(xué)碩士學(xué)位論文余局部化與相對(duì)蓋包ColocalizationandRelativeCoverEnvelope陳翔學(xué)科專(zhuān)業(yè)：基型熬堂研究方向：岱數(shù)娶縫論文提交日期：2壘Q壘!縣論文評(píng)閱人：拄堊兩熬擐型盤(pán)蕉越授論文答辯日期：墊Q生縣答辯委員會(huì)主席：睦渡生熬援學(xué)位授予單位：擂毽婭蓮塞堂學(xué)位授予日期：!QQ生縣二Oo五年四月AbstractTorsiontheorieshavebeendevelopeds

2、incethe1950’sandhavebeenextensivelystudiedbyGolan，Gabrml，Dmkson，StenstrSm，eta1Inthisthesis，thecohereditarytorsiontheoryisstudied，andthecolocaiizationsofmodulesoveritareconstructed，thepropertiesofinjectivityandprojectivit

3、yovercertaintorsiontheoryarediscussedInthefirstsection。somepreliminariesarementionedInordertobuildagoodfoundationforlaterparts，somebasicconceptsandsometheoremswhicharemainlytheresultsoftorsiontheorycanbefoundin[3】Inthese

4、condsection。thecohereditarytorsiontheoryisstudiedR—Ctors，whichiscon—structedbyallthecohereditarytorsionpensi8Blatticeover3ansiauRmodulescategorySomelattice’spropertiesofRCtorsaregivenInthethirdsection，byusingzprojectivem

5、odule，thecoucreteformofcolocallzationofmoduleMrelativecohereditarytorsionpair(TI，)isconstructedSomecategoricalpropertiesofp／c(Ⅳ)whichisdenotedasPa(M)，aregivenInthefourthsection，thecorrespondingconceptsofcoverandhullthron

6、gh口getsthepropertiesofrinjective，r—projective，rdivisibleandrcodivisiblemintroducedThepropertiesof下torsion蛐ectivehull，Ttorsionprojectivecover，“rtotsionfreedivisihhhulland丁torsionfreecodivisiblecoverarediscussed，pilljestiv