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As a model of a novel superconductor Na_xCoO_2\cdotyH_2O, a single-band t-Jmodel on a triangular lattice is studied, using a variational Monte Carlomethod. We calculate the energies of various superconducting (SC) states,changing the doping rate \delta and sign of t for small J/|t|. Symmetries of s,d, and d+id (p+ip and f) waves are taken up as candidates for singlet (triplet)pairing. In addition, the possibility of Nagaoka ferromagnetism andinhomogeneous phases is considered. It is revealed that, among the SC states,the d+id wave always has the lowest energy, which result supports previousmean-field studies. There is no possibility of triplet pairing, although thef-wave state becomes stable against a normal state in a special case(\delta=0.5 and t<0). For t<0, the complete ferromagnetic state is dominant ina wide range of \delta and J/|t|, which covers the realistic parameter regionof superconductivity.Comment: 10 pages, 13 figure

Variational Monte Carlo Studies of Pairing Symmetry for thet–JModel on a Triangular Lattice