  We investigate how cosmic web environment impacts the average properties of
central galaxies in the Sloan Digital Sky Survey (SDSS). We analyse how the
average specific star-formation rate, stellar age, metallicity and element
abundance ratio [$\alpha$/Fe] of SDSS central galaxies depend on distance from
the cosmic web nodes, walls and filaments identified by DisPerSE. In our
approach we control for galaxy stellar mass and local density differentiated
between field and group environment. Our results confirm the known trend
whereby galaxies exhibit lower specific star-formation rates with decreasing
distance to the cosmic web features. Furthermore, we show that centrals closer
to either nodes, walls or filaments are on average older, metal richer and
$\alpha$-enhanced compared to their equal mass counterparts at larger
distances. The identified property gradients appear to have the same amplitude
for central galaxies in the field as for those in groups. Our findings support
a cosmic web quenching that stems from nurture effects, such as ram pressure
stripping and strangulation, and/or nature effects linked to the intrinsic
properties of the cosmic web.
