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  • 标题:On Presented Dimensions of Modules and Rings
  • 本地全文:下载
  • 作者:Dexu Zhou ; Zhiwei Gong
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2010
  • 卷号:2010
  • DOI:10.1155/2010/256267
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We define the presented dimensions for modules and rings to measure how far away a module is from having an infinite finite presentation and develop ways to compute the projective dimension of a module with a finite presented dimension and the right global dimension of a ring. We also make a comparison of the right global dimension, the weak global dimension, and the presented dimension and divide rings into four classes according to these dimensions.
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