J4 ›› 2013, Vol. 48 ›› Issue (8): 5-14.
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闫婷婷,刘仲奎
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国家自然科学基金资助项目(11261050)
YAN Ting-ting, LIU Zhong-kui
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摘要:
设A是Abel范畴, X是A的子范畴。引入了A中对象的X余分解维数, 并利用上同调函子ExtnX给出了X余分解维数的等价刻画。
关键词: 余可解子范畴; 余分解维数; 预包络
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
闫婷婷,刘仲奎. 余分解维数[J]. J4, 2013, 48(8): 5-14.
YAN Ting-ting, LIU Zhong-kui. Coresolution dimensions[J]. J4, 2013, 48(8): 5-14.
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