Hopf algebra structure of incidence algebras
نویسندگان
چکیده
The incidence algebra of a partially ordered set (poset) supports in a natural way also a coalgebra structure, so that it becomes a m-weak bialgebra even a m-weak Hopf algebra with Möbius function as antipode. Here mweak means that multiplication and comultiplication are not required to be coalgebraor algebra-morphisms, respectively. A rich theory is obtained in computing modulo an equivalence relation on the set of intervals in the poset.
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