The singularity category of a Nakayama algebra

JOURNAL OF ALGEBRA

卷:429

Article

Shen, Dawei

关键词: Nakayama algebra;    Resolution quiver;    Singularity category;   

DOI  :  10.1016/j.jalgebra.2015.01.020

来源: Elsevier

【 摘 要 】

Let A be a Nakayama algebra. We give a description of the singularity category of A inside its stable module category, which provides a new approach to the singularity category of a Nakayama algebra. We prove that there is a duality between the singularity category of A and the singularity category of its opposite algebra. As a consequence, the resolution quiver of A and the resolution quiver of its opposite algebra have the same number of cycles and the same number of cyclic vertices. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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