The meaning of SOCLE is a projecting usually molded member at the foot of a wall or pier or beneath the base of a column, pedestal, or superstructure.

In architecture, a socle is a short plinth used to support a pedestal, sculpture, or column. In English, the term tends to be most used for the bases for rather small sculptures, with plinth or pedestal preferred for larger examples. [ 1 ]

The socle is a characteristic subgroup, and hence a normal subgroup. It is not necessarily transitively normal , however. If a group G is a finite solvable group , then the socle can be expressed as a product of elementary abelian p -groups .

Socle may refer to: Socle (mathematics), an algebraic object generated by minimal subobjects or by an eigenspace of an automorphism; Socle (architecture), a plinth that supports a pedestal, statue, or column

Nov 19, 2023 · The socle is the largest semi-simple submodule. More generally, for a modular lattice $L$ an element $a \in L$ is large or essential if $a \wedge b \ne 0$ for all $b \ne 0$. The socle of a modular lattice is defined as $$ \mathrm{soc}(L) = \bigwedge \{a \in L : a\ \text{large}\} \ . $$ The interval $[0,\mathrm{soc}(L)]$ is a complemented lattice.

Define socle. socle synonyms, socle pronunciation, socle translation, English dictionary definition of socle. n. 1. A plain square block serving as a base for a sculpture, vase, or column. 2. A plain plinth supporting a wall. American Heritage® Dictionary of the...

→ another name for plinth (sense 1).... Click for English pronunciations, examples sentences, video.

Socle definition: A plain square block higher than a plinth, serving as a pedestal for sculpture, a vase, or a column.

The statue rests on an oval socle carved with lotus petals, and is one with the socle.

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