  We note that large classes of contractions of algebras that arise in physics
can be understood purely algebraically, via identifying appropriate
$\mathbb{Z}_m$-gradings (and their generalizations) on the parent algebra. This
includes various types of flat space/Carroll limits of finite and infinite
dimensional (A)dS algebras, as well as Galilean and Galilean Conformal
algebras. Our observations can be regarded as providing a natural context for
the Grassmann approach of arXiv:1312.2941. We also introduce a related notion,
which we call partial grading, that arises naturally in this context.
