Abstract
Using four volume-limited Main galaxy samples of the Sloan Digital Sky Survey Data Release 8 (SDSS DR8), we have investigated the environmental dependences of the SFR, SSFR and stellar mass at fixed luminosity. At fixed luminosity, we still observe strong environmental dependences of the SFR, SSFR and stellar mass of galaxies: galaxies in the lowest density regime preferentially have a higher SFR or SSFR and lower stellar mass than galaxies in the densest regime. This result suggests that the limitation or fixation of luminosity does not exert substantial influence on the environmental dependences of the SFR, SSFR and stellar mass of galaxies, which further shows that luminosity is not a fundamental parameter in correlations between galaxy properties and the environment.