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小伪投射模及其自同态环 被引量:1

Small Pseudo-projective Modules and Its Endomorphism Rings
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摘要 讨论了伪投射模,小伪投射模与hollow模间的关系,研究了小伪投射模自同态环上的一些性质,推广了文献[8]中的相关结论。 The paper discusses the relationships among the pseudo-projective modules, small pseudo-projective modules and hollow modules. The properties of the endomorphism rings of small pseudo-projective modules are studied. Some results in reference [ 8 ] are generalized.
出处 《西华大学学报(自然科学版)》 CAS 2013年第2期22-24,共3页 Journal of Xihua University:Natural Science Edition
基金 安徽省高校自然科学研究项目(KJ2012Z300 KJ2011B119)
关键词 伪投射模 小伪投射模 hollow模 自同态环 pseudo-projective module small pseudo-projective module hollow module endomorphism ring
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参考文献8

  • 1Wu L E T,Jans J P. On Quasi-projectives[J].Illinois Journal of Mathematics,1967.439-448.
  • 2Gola J S.n. Characterization of Rings Using Quasiprojective Modules Ⅱ[J].Proceedings of the American Mathematical Society,1971.337-343.
  • 3KoehlerA. Quasi-projective Covers and Direct Sums[J].Proceedings of the American Mathematical Society,1970.655-658.
  • 4Rangaswamy K,Vanja N. Quasi-projectives in Abelian and Module Categories[J].Pacific Journal of Mathematics,1972.221-238.
  • 5Theodore G. On Quasi-projective Covers[J].Transactions of Theamerican Mathematical Society,1983,(01):101-113.
  • 6Anderson F W,Fuller K R. Rings and Categories of Modules[M].New York:springer-verlag,1992.
  • 7Clark J,Lomp C. Lifting Modules[M].Berlin:Birkhauser Verlag,2006.1-47.
  • 8Tiwary A K,Chaubey K N. Small Projective Modules[J].Indian Journal of Pure and Applied Mathematics,1985,(02):113-138.

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