简介:在这份报纸,我们调查钟声射影的尺寸并且钟声模块和戒指的injective尺寸。让R是有rDPD(R)=n的一枚戒指<,并且让W1={M|fd(M)<}。我们证明那(DP,W1)是完全的世袭cotorsion对以便如果并且仅当M是射影的,模块M属于DPnW1,而且,W1={M|pd(M)<}={M|fd(M)n}={M|pd(M)n}。然后,我们介绍并且调查钟声导出的函子Dexti(-,-),和使用它描绘全球钟声尺寸。我们证明如果R是一枚钟声陈戒指或如果R是有rDPD(R)的一枚戒指n+i(M,N)=0为所有模块M和N和所有整数i1。
简介:ThisvolumeisdedicatedtoProfessorXiaqiDing,anacademicianoftheChineseAcademyofSciences,ontheoccasionofhiseightiethbirthday.ProfessorXiaqiDingwasbornonMay25,1928,inTaoJiangcounty,Hunanprovince.Hewasgraduatedin1951fromtheDepartmentofMathematics,WuhanUniversity.Becauseofhisoutstandingacademicperformance,hewasselectedrightaftercollegeforhisstudyandresearchat
简介:TheXiaoyu-Ding-CauldronwasunearthedduringthefirstyearsofDaoguang,EmperoroftheQingDynasty,atLivillageofQishanCounty,ShanxiProvince.ThecauldronitselfdisappearedintheperiodofTaipingHeavenlyKingdom(TaipingTianguo).Thecurrentcopyoftheinscriptionistheonlyonepreserved.Theinscriptiononthecauldronconsistsof400characters,itisoneofthelongesttextsofthosedatingtotheearlyperiodoftheWesternzhouDynasty.Sincethetextisfragmentaryandnojoiningtextsremain,thetextcannotbereadcompletely.TheinscriptionwasfirstmentionedbyGuoMoruoinResearchontheMetalInscriptionsoftheZhouDynasty.ThenChenMengjiareconstructedtheinscriptioninthe1950'sinhis"DatingontheBronzeVasesoftheWesternZhouDynasty"andfurther