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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
In the socle beneath is Solon addressing the people of Athens.
Ornament the top of socle with a star of aspic, or with a bunch of nasturtium, or other blossoms or leaves.
The drawing in brown upon the socle beneath this fresco, is by Pierino del Vaga, and represents the death of Archimedes.
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.
The socle building and the core of the Customer Centre are built in reinforced concrete and serve as stiffening elements to the circolar tower, which is designed as a pure steel structure can therefore be omitted.
This will be a socle, and should be about one and a half to two inches high.

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