TORSION THEORIES FOR COALGEBRAS

被引：30

作者：

NASTASESCU, C ^{[1
]}

TORRECILLAS, B ^{[1
]}

机构：

[1] UNIV ALMERIA,DEPT ALGEBRA,E-04071 ALMERIA,SPAIN

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1994年 / 97卷 / 02期

关键词：

D O I：

10.1016/0022-4049(94)00009-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For any coalgebra C, we can consider the category of all right C-comodules M(c), which is an abelian category. We give a complete characterization of hereditary (pre)torsion theories in M(c). In the first part of the paper we study monomorphism and epimorphism in the category of coalgebras, since they are related to the torsion theories determined by certain morphism of coalgebras with some additional properties (e.g. coflat morphisms).

引用

页码：203 / 220

页数：18