n-倾斜挠类与n-余倾斜挠自由类

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

数学季刊 ›› 2019, Vol. 34 ›› Issue (2): 196-203.doi: 10.13371/j.cnki.chin.q.j.m.2019.02.007

n-倾斜挠类与n-余倾斜挠自由类

Department of Mathematics,Longnan Teachers College

接受日期:2018-11-02 出版日期:2019-06-30 发布日期:2020-10-06
作者简介:HE Dong-lin(1983-), female, native of Baiyin, Gangsu, M.S.D., Longnan Teachers College, engages in homological algebra.
基金资助:
Supported by the 2018 Scientific Research Projects in Universities of Gansu Province(2018A-269)；

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

Department of Mathematics,Longnan Teachers College

Accepted:2018-11-02 Online:2019-06-30 Published:2020-10-06
About author:HE Dong-lin(1983-), female, native of Baiyin, Gangsu, M.S.D., Longnan Teachers College, engages in homological algebra.
Supported by:
Supported by the 2018 Scientific Research Projects in Universities of Gansu Province(2018A-269)；

摘要/Abstract

摘要： 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.

关键词: n-tilting torsion classes, n-cotilting torsion-free classes, preenvelopes, precovers

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

中图分类号:

O153.3

何东林, 李煜彦. n-倾斜挠类与n-余倾斜挠自由类[J]. 数学季刊, 2019, 34(2): 196-203.

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.

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n-倾斜挠类与n-余倾斜挠自由类

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

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