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arXiv · 1410.3223

Reducing homological conjectures by n-recollements

Yang Han·Yongyun Qin
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Abstract

n-recollements of triangulated categories and n-derived-simple algebras are introduced. The relations between the n-recollements of derived categories of algebras and the Cartan determinants, homological smoothness and Gorensteinness of algebras respectively are clarified. As applications, the Cartan determinant conjecture is reduced to 1-derived-simple algebras, and the Gorenstein symmetry conjecture is reduced to 2-derived-simple algebras.

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BibTeXRIS

Yang Han, Yongyun Qin. 2014-11-15. Reducing homological conjectures by n-recollements. https://arxiv.org/abs/1410.3223

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