  We study relations between global characteristics of low-redshift (0 < z < 1)
compact star-forming galaxies, including absolute optical magnitudes, Hbeta
emission-line luminosities (or equivalently star-formation rates), stellar
masses, and oxygen abundances. The sample consists of 5182 galaxies with
high-excitation HII regions selected from the SDSS DR7 and SDSS/BOSS DR10
surveys adopting a criterion [OIII]4959/Hbeta > 1. These data were combined
with the corresponding data for high-redshift (2 < z < 3) star-forming
galaxies. We find that in all diagrams low-z and high-z star-forming galaxies
are closely related indicating a very weak dependence of metallicity on stellar
mass, redshift, and star-formation rate. This finding argues in favour of the
universal character of the global relations for compact star-forming galaxies
with high-excitation HII regions over redshifts 0 < z < 3.
