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GN-环上的对偶模 被引量:2

THE DUAL MODULES OVER GN-RING
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摘要 引进了GN-环,FGT-内射模,FGT-内射维数。讨论GN-环的特征性质和GN-环上模的对偶性,推广J.P.Jans的一些重要结论,给出右整体FGT-内射维数为0的环类。 Some new concepts , such as GN - ring , FGT - injective modules , FGT - injective dimension, are introduced; some characteristic properties of GN-ring are given; and the duality of modules over GN-ring are discussed , some theorems of J. P. Jams are generalized , meanwhile, the characteristic of rings over which the right FGT-injective dimension is equal to zero is also given.
作者 汪明义
出处 《广西师范大学学报(自然科学版)》 CAS 1991年第2期11-15,共5页 Journal of Guangxi Normal University:Natural Science Edition
关键词 GN-环 对偶模 FGT-内射模 GN-ring FGT-injective module FGT-injective dimension
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  • 2Colby R R. Rings which have flat injective modules[J]. J Algebra, 1975 ,35 :239-252.
  • 3Wang Mingyi. Some studies on Il-coherent rings[J]. Proceedings of the American Mathmatical Society,1993,119(1) :71-75.
  • 4Wang Mingyi. Il-coherent rings and FGT-injective dimension[J]. Sea Bull Math, 1995,19(3) : 105-112.
  • 5Hyman B. Finitistic dimension and a homological generalization of semi-primary rings[J]. Trans Amer Math Soc. 1960,95 :466-488.
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  • 7章聚乐,陈建龙.p-内射环和半素环[J].数学杂志,1991,11(1):29-34. 被引量:14

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