郭莹, 姚海楼. 形式幂级数环的表现维数[J]. 北京工业大学学报, 2015, 41(9): 1437-1440. DOI: 10.11936/bjutxb2015010044
    引用本文: 郭莹, 姚海楼. 形式幂级数环的表现维数[J]. 北京工业大学学报, 2015, 41(9): 1437-1440. DOI: 10.11936/bjutxb2015010044
    GUO Ying, YAO Hai-lou. Presented Dimensions of Formal Power Series Rings[J]. Journal of Beijing University of Technology, 2015, 41(9): 1437-1440. DOI: 10.11936/bjutxb2015010044
    Citation: GUO Ying, YAO Hai-lou. Presented Dimensions of Formal Power Series Rings[J]. Journal of Beijing University of Technology, 2015, 41(9): 1437-1440. DOI: 10.11936/bjutxb2015010044

    形式幂级数环的表现维数

    Presented Dimensions of Formal Power Series Rings

    • 摘要: 为了研究形式幂级数环的表现维数,基于对环与模的有限表现维数的研究,运用同调代数上的理论与方法,得到了RRx为凝聚环时,模的表现维数之间的关系以及环的表现维数之间的关系等结论.

       

      Abstract: Based on the research of finitely presented dimensions of modules and rings and by using the theory and method of homological algebra,presented dimensions of formal power series rings were described,and the relationship was obtained between presented dimensions of modules as well as between presented dimensions of rings when R, Rxare coherent rings.

       

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