| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4650148 | Discrete Mathematics | 2009 | 12 Pages |
Abstract
An nn-ary cooperation is a mapping from a nonempty set AA to the nnth copower of AA. A clone of cooperations is a set of cooperations which is closed under superposition and contains all injections. Coalgebras are pairs consisting of a set and a set of cooperations defined on this set. We define terms for coalgebras, coidentities and cohyperidentities. These concepts will be applied to give a new solution of the completeness problem for clones of cooperations defined on a two-element set and to separate clones of cooperations by coidentities.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
K. Denecke, K. Saengsura,