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Notes on Strongly n-Gorenstein Projective, Injective and Flat Modules 被引量:1
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作者 SHANG Wen-liang 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第3期389-396,共8页
In this paper, we mainly investigate some properties of strongly n-Gorenstein projective, injective and flat modules under the extension of rings, which mainly including excellent extensions, morita equivalences, poly... In this paper, we mainly investigate some properties of strongly n-Gorenstein projective, injective and flat modules under the extension of rings, which mainly including excellent extensions, morita equivalences, polynomial extensions and localizations. 展开更多
关键词 excellent extensions strongly n-gorenstein projective modules strongly nGorenstein injective modules strongly n-gorenstein flat modules
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A Generalization of Gorenstein Injective and Flat Modules
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作者 LU BO Du Xian-kun 《Communications in Mathematical Research》 CSCD 2016年第4期339-351,共13页
In this article, we introduce and study the concept of n-Gorenstein injective (resp., n-Gorenstein flat) modules as a nontrivial generalization of Gorenstein injective (resp., Gorenstein flat) modules. We invest... In this article, we introduce and study the concept of n-Gorenstein injective (resp., n-Gorenstein flat) modules as a nontrivial generalization of Gorenstein injective (resp., Gorenstein flat) modules. We investigate the properties of these modules in various ways. For example, we show that the class of n-Gorenstein injective (resp., n -Gorenstein flat) modules is closed under direct sums and direct products for n ≥ 2. To this end, we first introduce and study the notions of n-injective modules and n-flat modules. 展开更多
关键词 n-injective module n-flat module n-gorenstein injective module n- Gorenstein flat module PREENVELOPE COVER
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