- A coalgebra with a partially ordered set as basis is pointed and cocommutative.
- Let L and A be Hopf algebras on field k with antipodes SL and SA,and let C be a right A-module coalgebra.
- Each sentence of the document was taken as an assertion, and the document was taken as an assertion stream.The semantics of the document was observed by coalgebra methods.
- Coalgebra on a partially ordered set
- Yetter-Drinfel'd module coalgebra
- twisted oriented quantum coalgebra