四川大学学报（自然科学版）2012，Vol.49Issue(4)：756-760,5.DOI:10.3969/j.issn.0490-6756.2012.04.008
阿贝尔范畴的子范畴的扩张的同调有限性
Homological finiteness of extensions of subcategories in an Abelian categories
摘要
Abstract
The notion of contravariantly (or covariantly) finite subcategories is important in the study of representations. In this paper, we study the homological finiteness of various extensions of subcategories in an Abelian categories. In particular, the extensions of two torsion classes are proved to be torsion classes under a reasonable condition. An application of this result to triangular matrix algebras is given.关键词
正变有限子范畴/反变有限子范畴/torsion类/扩张子范畴/上三角矩阵代数Key words
covariantly finite subcategories/ contravariantly finite subcategories/ torsion classes/ extensions of subcategories/ triangular matrix algebras (2000 MSC 16G10.16G20)分类
数理科学引用本文复制引用
朱鹏博,耿圣飞..阿贝尔范畴的子范畴的扩张的同调有限性[J].四川大学学报（自然科学版）,2012,49(4):756-760,5.基金项目
四川大学青年教师科研启动基金(2010SCU11071) （2010SCU11071）
