Groupprops, The Group Properties Wiki (pre-alpha)
Visit the subject wikis reference guide for links to more subject wikis.
Coalgebra
From Groupprops
This article is about a standard (though not very rudimentary) definition in an area related to, but not strictly part of, group theory
This article or section of article is sourced from:Wikipedia
Definition
A coalgebra is the following data:
K a field and C be a K-vector space, equipped with the following data:
- A linear map
- A linear map
satisfying the following compatibility conditions:
- Coassociativity:
- Counit:
