On essential variables of dual operations and the consequences for operations

被引：6
|
作者：
Kerkhoff, Sebastian [1 ]
机构：
[1] Tech Univ Dresden, Inst Algebra, D-01069 Dresden, Germany
来源：
ALGEBRA UNIVERSALIS | 2013年 / 70卷 / 01期
关键词：
essential variable; dual operation; essential arity; arity gap; duality theory;
D O I：
10.1007/s00012-013-0234-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate essential variables of dual operations (or co-operations) in a rather general category-theoretic setting. During this investigation, we collect some results about the essential arities and arity gaps of dual operations in concrete categories. Afterwards, we use duality theory to show that this approach and the obtained results can also be beneficial for questions regarding essential variables of operations on sets.
引用
收藏
页码：43 / 70
页数：28
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