A note on the singularity category of an endomorphism ring

Xiao-Wu Chen

doi:10.1007/s11512-014-0200-0

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Home > Journals > Ark. Mat. > Volume 53 > Issue 2 > Article

October 2015 A note on the singularity category of an endomorphism ring

Xiao-Wu Chen

Author Affiliations +

Xiao-Wu Chen¹
¹School of Mathematical Sciences, University of Science and Technology of China; Wu Wen-Tsun Key Laboratory of Mathematics, Chinese Academy of Sciences, University of Science and Technology of China

Ark. Mat. 53(2): 237-248 (October 2015). DOI: 10.1007/s11512-014-0200-0

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Abstract

We propose the notion of partial resolution of a ring, which is by definition the endomorphism ring of a certain generator of the given ring. We prove that the singularity category of the partial resolution is a quotient of the singularity category of the given ring. Consequences and examples are given.

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Xiao-Wu Chen. "A note on the singularity category of an endomorphism ring." Ark. Mat. 53 (2) 237 - 248, October 2015. https://doi.org/10.1007/s11512-014-0200-0