Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Monomorphisms of coalgebras

100%

Agore A.

Colloquium Mathematicum

2010

tom 120

nr 1

149-155

We prove new necessary and sufficient conditions for a morphism of coalgebras to be a monomorphism, different from the ones already available in the literature. More precisely, φ: C → D is a monomorphism of coalgebras if and only if the first cohomology groups of the coalgebras C and D coincide if and only if $∑_{i∈I} ε(a^{i}) b^{i} = ∑_{i∈I} a^{i} ε(b^{i})$ for all $∑_{i∈I} a^{i}⊗ b^{i} ∈ C ◻_{D} C$. In particular, necessary and sufficient conditions for a Hopf algebra map to be a monomorphism are given.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Agore A.

1 2010

Wyniki wyszukiwania

Monomorphisms of coalgebras