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centralizer
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Definitions of centralizer in various dictionaries:
CENTRALIZER - In mathematics, especially group theory, the centralizer (also called commutant) of a subset S of a group G is the set of elements of G that commute ...
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Possible Dictionary Clues |
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A device used to centralize a piece of equipment. |
(of an element in a group) The set of elements of the same group which commute with the element. See also normalizer. |
A person who centralizes or who advocates centralization, especially with regard to political or administrative organization. |
Oil Industry. A device fitted around a drilling string, pipe casing, etc., in order to keep it in a central position in a borehole. |
Mathematics. The set of elements of a group which each commute with every element of a given subset of that group. |
Centralizer might refer to |
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In mathematics, especially group theory, the centralizer (also called commutant) of a subset S of a group G is the set of elements of G that commute with each element of S, and the normalizer of S are elements that satisfy a weaker condition. The Centralizer and normalizer of S are subgroups of G, and can provide insight into the structure of G. * The definitions also apply to monoids and semigroups. * In ring theory, the centralizer of a subset of a ring is defined with respect to the semigroup (multiplication) operation of the ring. The centralizer of a subset of a ring R is a subring of R. This article also deals with centralizers and normalizers in Lie algebra. * The idealizer in a semigroup or ring is another construction that is in the same vein as the centralizer and normalizer. |