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直和分解对直和项的遗传性

Hereditariness of Direct Sum Decomposition to Direct Summand
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摘要 通过同调无关及连续模的推广,给出遗传性问题有肯定解答的两个充分条件,并讨论了同构补(极大)直和项的直和分解. In terms of homological independence and a sufficient conditions for the decompositions of isomorphi generalization of continuous modules, we presented two inheritance problem to have an affirmative answer. We also discussed direct sum cally complement (maximal) direct summands.
作者 刘阳
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2007年第2期208-210,共3页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:10471055)
关键词 模的直和分解 同构补(极大)直和项 同调无关 direct sums decompositions isomorphically complement (maximal) direct summands homologically independent
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参考文献5

  • 1Facchini A.Module Theory:Endomorphism Rings and Sum Decompositions in Some Classical Modules[M].Boston:Birkhuser,1998.
  • 2Anderson F W,Fuller K R.Rings and Categories of Modules[M].New York:Springer-Verlag,1973.
  • 3Warfield R B.A Krull-Schmidt Theory for Infinite Sums of Modules[J].Proc Amer Math Soc,1969,22:460-465.
  • 4Warfield R B.Decomposition of Injective Modules[J].Pacific J Math,1969,31:263-276.
  • 5Dung N V.Modules with Indecomposable Decompositions That Complement Maximal Direct Summands[J].J Algebra,1997,193:449-467.

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