Archive for October, 2007

When is a Coalgebra a Generator?

by Năstăsescu, C.; Torrecillas, B.; Oystaeyen, F.

Let C be a coalgebra over a field k. The aim of this paper is to study the following problem : (P) If C is a k-coalgebra such that C is a generator for the category of left comodules, is C a left quasi-co-Frobenius coalgebra ? The converse always holds. We show that if C has a finite coradical series, the answer is positive.

DOI: 10.1007/s10468-007-9054-5
Online Date: 10/11/2007
Print publication date: 4/1/2008
View article on SpringerLink

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