Quivers of Bound Path Algebras and Bound Path Coalgebras

Intan Muchtadi Alamsyah (1Algebra Research Division, FMIPA ITB, Bandung, Indonesia.)
Hanni Garmini (2Algebra Research Division, FMIPA ITB, Bandung, Indonesia.)

Journal of Mathematical and Fundamental Sciences
Vol. 42 No. 2 (2010)

Algebras and coalgebras can be represented as quiver (directed graph), and from quiver we can construct algebras and coalgebras called path algebras and path coalgebras. In this paper we show that the quiver of a bound path coalgebra (resp. algebra) is the dual quiver of its bound path algebra (resp. coalgebra).