Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
- noun A subset of a ring that is itself a ring.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun algebra a
ring which is contained in a largerring , such that the multiplication and addition on the former are a restriction of those on the latter
Etymologies
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Examples
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Centre of a ring: The subring of a ring consisting of all elements which commute with every element of the ring.
Citizendium, the Citizens' Compendium - Recent changes [en] 2009
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Centre of a ring: The subring of a ring consisting of all elements which commute with every element of the ring.
Citizendium, the Citizens' Compendium - Recent changes [en] 2009
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Centre of a ring: The subring of a ring consisting of all elements which commute with every element of the ring.
Citizendium, the Citizens' Compendium - Recent changes [en] 2009
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Then the embeddings correspond to the algebraic integers in a number field K form a subring denoted by order, this is, a ring which is finitely generated as a Z maximal order of K.
Citizendium, the Citizens' Compendium - Recent changes [en] 2009
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The [[algebraic integer]] s in a number field '' K '' form a subring denoted by '' O ''
Citizendium, the Citizens' Compendium - Recent changes [en] 2009
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Centre of a ring: The subring of a ring consisting of all elements which commute with every element of the ring.
Citizendium, the Citizens' Compendium - Recent changes [en] 2009
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+s denote a set of complex embeddings of K into algebraic integers in a number field K form a subring denoted by order, this is, a ring which is finitely generated as a Z maximal order of K.
Citizendium, the Citizens' Compendium - Recent changes [en] 2009
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+s denote a set of complex embeddings of K into algebraic integers in a number field K form a subring denoted by order, this is, a ring which is finitely generated as a Z maximal order of K.
Citizendium, the Citizens' Compendium - Recent changes [en] 2009
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