coalgebra isomorphisms and isomorphic coalgebras
Let and be coalgebras.
Remark. Of course every coalgebra isomorphism is a linear isomorphism, thus it is ,,one-to-one” and ,,onto”. One can show that the converse also holds, i.e. if is a coalgebra homomorphism such that is ,,one-to-one” and ,,onto”, then is a coalgebra isomorphism.
|Title||coalgebra isomorphisms and isomorphic coalgebras|
|Date of creation||2013-03-22 18:49:28|
|Last modified on||2013-03-22 18:49:28|
|Last modified by||joking (16130)|