n-tilting Torsion Classes and n-cotilting Torsion-free Classes

HE Dong-lin, LI Yu-yan

doi:10.13371/j.cnki.chin.q.j.m.2019.02.007

Chinese Quarterly Journal of Mathematics >

2019 , Vol. 34 >Issue 2: 196 - 203

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2019.02.007

n-tilting Torsion Classes and n-cotilting Torsion-free Classes

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Department of Mathematics,Longnan Teachers College

HE Dong-lin(1983-), female, native of Baiyin, Gangsu, M.S.D., Longnan Teachers College, engages in homological algebra.

Accepted date: 2018-11-02

Online published: 2020-10-06

Supported by

Supported by the 2018 Scientific Research Projects in Universities of Gansu Province(2018A-269)；

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Abstract

In this paper, we consider some generalizations of tilting torsion classes and cotilting torsion-free classes, give the definition and characterizations of n-tilting torsion classes and n-cotilting torsion-free classes, and study n-tilting preenvelopes and n-cotilting precovers.

Key words： n-tilting torsion classes; n-cotilting torsion-free classes; preenvelopes; precovers

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HE Dong-lin, LI Yu-yan . n-tilting Torsion Classes and n-cotilting Torsion-free Classes[J]. Chinese Quarterly Journal of Mathematics, 2019 , 34(2) : 196 -203 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.02.007

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