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Pseudo-Injective Modules and Principally Pseudo-Injective Modules 被引量:4

伪内射模与主伪内射模(英文)
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摘要 Considered in this paper are pseudo-injective modules and principally pseudoinjective modules, which are generalizations of quasi-injective modules and PQ-injective modules. Pseudo-injective modules are dual to pseudo-projective modules. We study their properties and endomorphism rings, and obtain some properties of the Jacobson radical of such rings. 本文研究了伪内射模与主伪内射模,它们分别是拟内射模与PQ-内射模的推广.伪内射模是对偶于伪投射模的.我们讨论了伪内射模与主伪内射模的性质及其自同态环,并得到了自同态环的Jacobson根的若干性质.
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2007年第2期223-228,共6页 数学研究与评论(英文版)
基金 the National Natural Science Foundation of China (10371101).
关键词 pseudo-injective principally pseudo-injective idempotent principal self-generator endomorphism ring Jacobson radical 伪内射模 主伪内射模 主自生成子 自同态环 Jacobon根
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参考文献5

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同被引文献30

  • 1江俊,黄福生.优半模的半单分解[J].江西师范大学学报(自然科学版),2008,32(4):395-398. 被引量:2
  • 2王秀丽.半模的投射盖和半模的根[J].数学研究,2004,37(4):421-425. 被引量:4
  • 3赵春娥,杜先能.关于伪投射模的若干讨论[J].大学数学,2006,22(3):100-102. 被引量:7
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