On coalgebras which are algebras

被引：1

作者：

Porst, HE ^{[1
]}

Dzierzon, C ^{[1
]}

机构：

[1] Univ Bremen, Dept Math, D-28334 Bremen, Germany

来源：

CATEGORICAL STRUCTURES AND THEIR APPLICATIONS | 2004年

关键词：

Sigma-coalgebras; Sigma-labelled trees; presheaf categories;

D O I：

10.1142/9789812702418_0017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The category Coalg Sigma of coalgebras with respect to a (bounded) signature Sigma is known to be locally finitely presentable (see [1]). We strenghten this result by showing that Coalg Sigma even is a presheaf category. Moreover, we give a presentation of this category as the category of all algebras of some (many-sorted) signature (without any equations).

引用

页码：227 / 235

页数：9