Incidence Coalgebras: Automorphisms and Derivations
Abstract
We describe automorphisms and derivations of the incidence coalgebra Co(X,F) of the partially ordered set X over a field F. In this case, the fact is significantly used that the dual algebra of the coalgebra Co(X,F) is isomorphic to the incidence algebra I(X,F) of the partially ordered set X over the field F.
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