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We present the molecular gas mass fraction ($f_\mathrm{H_2}$) andstar-formation efficiency (SFE) of local galaxies on the basis of our newCO($J=1-0$) observations with the Nobeyama 45m radio telescope, combined withthe COLDGASS galaxy catalog, as a function of galaxy environment defined as thelocal number density of galaxies measured with SDSS DR7 spectroscopic data. Oursample covers a wide range in the stellar mass and SFR, and covers wideenvironmental range over two orders of magnitude. This allows us to conduct thefirst, systematic study of environmental dependence of molecular gas propertiesin galaxies from the lowest- to the highest-density environments in the localuniverse. We confirm that both $f_\mathrm{H_2}$ and SFE have strong positivecorrelations with the SFR offset from the star-forming main sequence($\Delta$MS), and most importantly, we find that these correlations areuniversal across all environments. Our result demonstrates that star-formationactivity within individual galaxies is primarily controlled by their moleculargas content, regardless of their global environment. Therefore, we claim thatone always needs to be careful about the $\Delta$MS distribution of the samplewhen investigating the environmental effects on the H$_2$ gas content ingalaxies.

A universal correlation between star-formation activity and molecular gas properties across environments