黄宠辉,谭琼华.关于Gorenstein内射分解的一些结果[J].南华大学学报(自然科学版),2010,24(3):63~65.[HUANG Chong-hui,TAN Qiong-hua.Several Results on Gorenstein Injective Resolution[J].Journal of University of South China(Science and Technology),2010,24(3):63~65.] |
关于Gorenstein内射分解的一些结果 |
Several Results on Gorenstein Injective Resolution |
投稿时间:2010-08-30 |
DOI: |
中文关键词: 内射分解 余合冲 Gorenstein内射分解 Gorenstein余合冲模 |
英文关键词:injective resolution co-syzygy module Gorenstein injective resolution Gorenstein co-syzygy module |
基金项目:湖南省教育厅基金资助项目(10C1143);南华大学校级教改课题基金资助项目(2010XJG38) |
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中文摘要: |
主要研究了模的Gorenstein内射分解的性质,引进了Gorenstein余合冲模的定义,作为文中主要结果的应用,证明了Gorenstein余合冲模类和余合冲模类的等价性.一些已知的结果可以作为文中结果的推论得出. |
英文摘要: |
Properties of Gorenstein injective resolution were studied in this paper.The notion of Gorenstein co-syzygy module was introduced as an application of our main result,we show the equivalence between the category of Gorenstein co-syzygy modules and that of co-syzygy modules.Some known results can be our corollaries. |
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