FREE ALGEBRAS IN VARIETIES

被引：0
|
作者：
Pavlik, Jan [1 ]
机构：
[1] Brno Univ Technol, Fac Mech Engn, Brno, Czech Republic
来源：
ARCHIVUM MATHEMATICUM | 2010年 / 46卷 / 01期
关键词：
cocomplete category; free algebra; variety; natural transformation;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define varieties of algebras for an arbitrary endofunctor on a cocomplete category using pairs of natural transformations. This approach is proved to be equivalent to one of equational classes defined by equation arrows. Free algebras in the varieties are investigated and their existence is proved under the assumptions of accessibility.
引用
收藏
页码：25 / 38
页数：14
相关论文
共 50 条
12345