Approximations and cotorsion pairs related to a tilting pair

doi:10.1007/s11464-013-0328-4

Front Math Chin

2013, Vol. 8

Issue (6) : 1367-1376 https://doi.org/10.1007/s11464-013-0328-4

RESEARCH ARTICLE

Approximations and cotorsion pairs related to a tilting pair

Yihua LIAO^1,2, Jianlong CHEN¹(

)

1. Department of Mathematics, Southeast University, Nanjing 210096, China; 2. College of Mathematics and Information Science, Guangxi University, Nanning 530004, China

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Abstract

The notion of a tilting pair over artin algebras was introduced by Miyashita in 2001. It is a useful tool in the tilting theory. Approximations and cotorsion pairs related to a fixed tilting pair were discussed. A contravariantly (covariantly) finite subcategory and a cotorsion pair associated with a fixed tilting pair were given in this paper.

Keywords Selforthogonal module contravariantly (covariantly) finite subcategory cotorsion pair tilting pair

Corresponding Author(s): CHEN Jianlong,Email:jlchen@seu.edu.cn

Issue Date: 01 December 2013

Cite this article:

Yihua LIAO,Jianlong CHEN. Approximations and cotorsion pairs related to a tilting pair[J]. Front Math Chin, 2013, 8(6): 1367-1376.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-013-0328-4
https://academic.hep.com.cn/fmc/EN/Y2013/V8/I6/1367

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