| Characterization of Hereditary Rings ViaInjectivity and Projectivity Classes |
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| 引用本文： | 于增海,段海生. Characterization of Hereditary Rings ViaInjectivity and Projectivity Classes[J]. 数学季刊, 1998, 0(2) |
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| 作者姓名： | 于增海 段海生 |
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| 作者单位： | Yu Zenghai (Department of Mathematics，shangqiu Normal College，Shangqiu，476000) Duan Haisheng (Normal School of Xiangcheng County) |
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| 摘 要： | Throughout,allringsconsideredhaveanidentity,modulesareunitalleftmodulesandE(M)standsfortheinjectivehullofM.Now,letSbeaclassofmodules,thatisacollectionofR-modulessuchthatifM∈SthenanyR-moduleisomorphictoMbelongstoS.Wewillfreelyusethenotation,terminologyandresultsof[2].Recently,thereareanumberofwellknowntheoremswhichcharacterizeringsintermsofinjectiveandprojectivemodules(cf.[1],[3]and[4]).In[5,6]injectivityclassesandprojec-tivityclassesareintroducedandsimilarresultsremaintruewheninjectivity(…
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Characterization of Hereditary Rings Via Injectivity and Projectivity Classes |
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| Yu Zenghai. Characterization of Hereditary Rings Via Injectivity and Projectivity Classes[J]. Chinese Quarterly Journal of Mathematics, 1998, 0(2) |
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| Authors: | Yu Zenghai |
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| Abstract: | In this note,some characterizations of hereditary rings using injectivity classes and projectivity classes are given.These results unify many well known results. |
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| Keywords: | hereditary ring injectivity classes projectivity classes |
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