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What is a socle?

What is a socle? Here are some definitions.

Noun
  1. (architecture) A low plinth or pedestal used to display a statue or other artwork.
  2. (architecture) A plain face or plinth at the foot of a wall.
  3. (mathematics) The sum of the minimal normal submodules of a given R-module of a given ring R.
  4. (mathematics) The subgroup generated by the minimal normal subgroups of a given group.
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Examples
The simplest way of making a socle is to take a loaf of stale bread, remove the crust, and cut the crumb to the desired shape.
This will be a socle, and should be about one and a half to two inches high.
Two finely carved pyramids arose gloriously at the two extremes of the socle, which they confronted.
The drawing in brown upon the socle beneath this fresco, is by Pierino del Vaga, and represents the death of Archimedes.
In the center Buddha is teatching to his first diciples, of a size two times bigger than others, dressed of a orange robe and sat in lotus position on a socle representing a lotus flower.
In the centre is placed a socle or pedestal of a glittering substance, like glass, but of what composition is not known.

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