socle

Definitions

  • WordNet 3.6
    • n socle a plain plinth that supports a wall
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Webster's Revised Unabridged Dictionary
    • n Socle (Arch) A plain block or plinth forming a low pedestal; any base; especially, the base of a statue, column, or the like. See Plinth.
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Century Dictionary and Cyclopedia
    • n socle In architecture, a low, plain member, serving as a foundation for a wall or pedestal, or to support vases or other ornaments. It differs from a pedestal in being without base or cornice, and is higher than a plinth. A continued socle is one extending around a building or part of a building.
    • n socle One of the ridges or elevations which support the tentacles and sense-bodies of some worms.
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Chambers's Twentieth Century Dictionary
    • n Socle sō′kl (archit.) a plain, square, flat member used instead of a pedestal to support a column, &c.: a plain face or plinth at the foot of a wall.
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Etymology

Webster's Revised Unabridged Dictionary
F., fr. L. socculus, dim. of soccus,. See Sock a covering for the foot. Cf. Zocco
Chambers's Twentieth Century Dictionary
Fr.—It. zoccolo—L. socculus, dim. of soccus, a high-heeled shoe, as if a support.

Usage

In literature:

Ton corps etait une colonne d'ivoire sur un socle d'argent.
"Selected Prose of Oscar Wilde with a Preface by Robert Ross" by Oscar Wilde
The tomb comprises three pieces: one for the socle, one for the slab, and another for the cross.
"Over Strand and Field" by Gustave Flaubert
In the socle beneath is Solon addressing the people of Athens.
"The Old Masters and Their Pictures" by Sarah Tytler
Spinach or mashed potato pressed into form of socle may be used, and the chops rested against it, the bones pointing up or slanting.
"The Century Cook Book" by Mary Ronald
When I was a boy, the socles of the future towns of France were being restored.
"Nooks and Corners of Old Paris" by Georges Cain
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In news:

Kurt Datz, right, with, from left, Tamara Phillips and Tara Vanosdale, aestheticians, stop for photo in the new offices of Soclé Medical Spa.
Soclé has its own vitamin line, called Soclé Supplements, and also carries medical-grade skin products.
Soclé Medical Spa gets new home to accommodate growth.
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In science:

Proposition 5.2. (a) The algebra S is a prime ring, and its socle is the ideal S eS generated by the minimal idempotent e := 1 − Pn i=0 yixi .
$K_0$ of purely infinite simple regular rings
By Proposition 5.2, I is the socle of S , and I is generated by the minimal right ideal eS .
$K_0$ of purely infinite simple regular rings
He studies the functors given by induction and restriction (from ˆHn to ˆHn±1 ), followed by the taking of socles by analyzing the effect of these functors on the central characters of ˆHn .
The representation theory of the Ariki-Koike and cyclotomic q-Schur algebras
This is the Pr¨ufer module with regular socle S .
Infinite dimensional representations of canonical algebras
Its composition with π goes to the socle of T in T , thus f = u′f ′ for some f ′ : S → M ′ .
Infinite dimensional representations of canonical algebras
Note that this implies the same result for almost simple groups as long as the socle of G has bounded index (with perhaps a different constant).
Derangements in simple and primitive groups
The proof of Theorem 1.1 is now easy, because Theorem 6.1 implies that CSym Ω (T ) = 1 , and so NSym Ω (T ) is an almost simple group with socle T .
Transitive simple subgroups of wreath products in product action
Let K be a field and A an Artinian Gorenstein K -algebra with socle degree σ = max{t : At 6= 0} and multiplicity e(A) = Pσ t=0 dimK At .
The strong Lefschetz property and simple extensions
Case (1): Assume first that the socle of Q has only L(λi ) with λi ∈ Λ+ 1 .
On the global and \nabla-filtration dimensions of quasi-hereditary algebras
Assume first that the socle of Q is a direct sum of L(λi )’s with ∇. f . d.(L(λi )) = n.
On the global and \nabla-filtration dimensions of quasi-hereditary algebras
Case 2 The socle of Q has only L(2) as a composition factor.
On the global and \nabla-filtration dimensions of quasi-hereditary algebras
Then the socle of V has only L(2) as composition factors.
On the global and \nabla-filtration dimensions of quasi-hereditary algebras
In this section we consider Carter subgroups in an almost simple group A with simple socle G = F ∗(A) ≃ PS p2n (q).
Carter subgroups of finite almost simple groups
The right (left) C -subcomodule Soc(M ) ⊆ M defined in (1) is called the socle of M .
Fully Coprime Comodules and Fully Coprime Corings
The socle of C[A, B ]/Iµ is the representation given by all the removable boxes of the Young diagram of ρ.
Quiver varieties, category O for rational Cherednik algebras, and Hecke algebras
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