Auslander's defect formula and a commutative triangle in an exact category

doi:10.1007/s11464-020-0814-4

Front. Math. China

2020, Vol. 15

Issue (1) : 115-125 https://doi.org/10.1007/s11464-020-0814-4

RESEARCH ARTICLE

Auslander's defect formula and a commutative triangle in an exact category

Pengjie JIAO(

)

Department of Mathematics, China Jiliang University, Hangzhou 310018, China

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Abstract

We prove Auslander's defect formula in an exact category, and obtain a commutative triangle involving the Auslander bijections and the generalized Auslander{Reiten duality.

Keywords Auslander's defect formula Auslander bijections morphisms determined by objects

Corresponding Author(s): Pengjie JIAO

Issue Date: 09 March 2020

Cite this article:

Pengjie JIAO. Auslander's defect formula and a commutative triangle in an exact category[J]. Front. Math. China, 2020, 15(1): 115-125.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-020-0814-4
https://academic.hep.com.cn/fmc/EN/Y2020/V15/I1/115

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