From CM-finite to CM-free

Fan Kong; Pu Zhang

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arXiv · 1212.6184

From CM-finite to CM-free

Fan Kong·Pu Zhang

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Abstract

The aim of this paper is twofold. On one hand, we prove a slight generalization of the stability for Gorenstein categories in [SWSW] and [Huang]; and show that the relative Auslander algebra of a CM-finite algebra is CM-free. On the other hand, we describe the bounded derived category, and the Gorenstein defect category introduced in [BJO], via Gorenstein-projective objects; and we show that the Gorenstein defect category of a CM-finite algebra is triangle-equivalent to the singularity category of its relative Auslander algebra.

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BibTeX RIS

Fan Kong, Pu Zhang. 2014-05-01. From CM-finite to CM-free. https://arxiv.org/abs/1212.6184

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