On Gorenstein Resolution Dimensions of Complexes

CUI Jun-feng

doi:10.13371/j.cnki.chin.q.j.m.2017.02.012

Chinese Quarterly Journal of Mathematics >

2017 , Vol. 32 >Issue 2: 216 - 220

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.02.012

On Gorenstein Resolution Dimensions of Complexes

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Department of Mathematics, Longnan Teacher’s College

CUI Jun-feng(1978-), male, native of Dingxi, Gansu, a lecturer of Longnan Teacher's College, M.S.D., engages in advanced algebra.

Received date: 2016-03-07

Online published: 2020-10-26

Supported by

Supported by the 2015 Scientific Research Projects in Universities of Gansu Province(2015A-181)；

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Abstract

Let W be a self-orthogonal class of R-modules. We prove that W-Gorenstein resolution dimension of a complex X is equivalent to the supremum of W-Gorenstein resolution dimension of modules X_ifor all i ∈ Z.

Key words： complex; orthogonal class; resolution dimension

Cite this article

CUI Jun-feng . On Gorenstein Resolution Dimensions of Complexes[J]. Chinese Quarterly Journal of Mathematics, 2017 , 32(2) : 216 -220 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.02.012

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