Decomposition of torsion pairs on module categories

JOURNAL OF ALGEBRA

卷:388

Article

Kong, Fan¹  Song, Keyan¹  Zhang, Pu¹ 

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

关键词: Torsion pair;    Torsion n+1-tuple;    Chain of torsion classes;    Projective;    Injective;    Tube category;    Regular module;   

DOI  :  10.1016/j.jalgebra.2013.03.034

来源: Elsevier

【 摘 要 】

In this article, we generalize the concept of torsion pair and study its structure. As a trial of obtaining all torsion pairs, we decompose torsion pairs by projective modules and injective modules. Then we calculate torsion pairs on the algebra KA(n) and tube categories. At last we study the structure of torsion pairs on the module categories of finite-dimensional hereditary algebras. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free