The splitting problem for coalgebras: A direct approach

被引：4

作者：

Iovanov, Miodrag-Cristian ^{[1
]}

机构：

[1] Univ Bucharest, Fac Math, RO-010014 Bucharest, Romania

来源：

APPLIED CATEGORICAL STRUCTURES | 2006年 / 14卷 / 5-6期

关键词：

torsion theory; splitting; coalgebra;

D O I：

10.1007/s10485-006-9050-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we give a new and elementary proof of a result of Nastasescu and Torrecillas (J. Algebra, 281: 144 - 149, 2004) stating that a coalgebra C is finite dimensional if and only if the rational part of any right module M over the dual algebra C* is a direct summand in M ( the splitting problem for coalgebras).

引用

页码：599 / 604

页数：6

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