Definitions for "Socle"
Keywords:  plinth, pedestal, plain, vase, bust
A plain block or plinth forming a low pedestal; any base; especially, the base of a statue, column, or the like. See Plinth.
A plain face or plinth at the lower part of a wall.
a plain plinth that supports a wall
In mathematics, given a ring R and an R-module M, the socle of M is the sum of the minimal submodules of M. It is denoted Soc(M). In particular, a module is semisimple if and only if Soc(M) = M.