We discuss the role of orbital ordering in a two-dimensional triangula
r lattice. Usually, this lattice is considered as ''frustrated.'' We s
how that a peculiar type of orbital ordering can remove this frustrati
on if we allow for orbital degeneracy. Wt: pay special attention to th
e d(2) case, for which we present mean field calculations for possible
orbital orderings and an exact diagonalization study of a three-site
cluster within a degenerate Hubbard model. The results support the pos
sibility of an orbitally ordered singlet ground state. In particular,
it provides new insight to the magnetic phase transition and the low t
emperature phase of LiVO2.