J4 ›› 2013, Vol. 48 ›› Issue (8): 5-14.

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Coresolution dimensions

YAN Ting-ting, LIU Zhong-kui   

  1. Department of Mathematics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2013-01-10 Online:2013-08-20 Published:2013-08-21

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Abstract:

Let A be an abelian category, X be a subcategory of A. The X-coresolution dimensions of the objectives of A are introduced, and by using cohomology functor ExtnX, the equivalent characterizations of X-coresolution dimensions are given.

Key words: coresolving subcategories; coresolution dimensions; preenvelopes

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