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On Presented Dimensions of Modules and Rings

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  • Dexu Zhou
  • Zhiwei Gong

Abstract

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.

Suggested Citation

  • Dexu Zhou & Zhiwei Gong, 2010. "On Presented Dimensions of Modules and Rings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-13, June.
    • Handle: RePEc:hin:jijmms:256267
    DOI: 10.1155/2010/256267
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