Balanced bilinear forms and finiteness properties for incidence coalgebras over a field

• Autores: S. Dascalescu, Constantin Nastasescu , G. Velicu
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 51, Nº. 1, 2010, págs. 19-26
• Idioma: inglés
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• Resumen

  • Let C = IC(X) be the incidence coalgebra of an intervally finite partially ordered set X over a field. We investigate finiteness properties of C.

    We determine all C*-balanced bilinear forms on C, and we deduce that C is left (or right) quasi-co-Frobenius if and only if C is left (or right) co-Frobenius, and this is equivalent to the order relation on X being the equality