Quantum corrections of (fuzzy) spacetimes from a supersymmetric reduced model with Filippov 3-algebra

1-loop vacuum energies of (fuzzy) spacetimes from a supersymmetric reduced model with Filippov 3-algebra are discussed. A2,2 algebra, Nambu-Poisson algebra in flat spacetime, and a Lorentzian 3-algebra are examined as 3-algebras.