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The resolution dimensions with respect to balanced pairs in the recollement of abelian categories

Hailou Yao|Xuerong Fu|Yonggang Hu
대한수학회 (The Korean Mathematical Society)|2019.07|대한수학회지 (Journal of the KMS)|제56권 제4호|pp. 1031-1048|DOI 10.4134/JKMS.j180577

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참고문헌

키워드

recollementbalanced pairresolution dimension
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초록

In this paper we study recollements of abelian categories and balanced pairs. The main results are: recollements induce new balanced pairs from the middle category; the resolution dimensions are bounded under certain conditions. As an application, the resolution dimensions with respect to cotilting objects of abelian categories involved in recollements are recovered.

Abstract

In this paper we study recollements of abelian categories and balanced pairs. The main results are: recollements induce new balanced pairs from the middle category; the resolution dimensions are bounded under certain conditions. As an application, the resolution dimensions with respect to cotilting objects of abelian categories involved in recollements are recovered.

참고문헌 (19)

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