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- Subring abstract "In mathematics, a subring of R is a subset of a ring that is itself a ring when binary operations of addition and multiplication on R are restricted to the subset, and which shares the same multiplicative identity as R. For those who define rings without requiring the existence of a multiplicative identity, a subring of R is just a subset of R that is a ring for the operations of R (this does imply it contains the additive identity of R). The latter gives a strictly weaker condition, even for rings that do have a multiplicative identity, so that for instance all ideals become subrings (and they may have a multiplicative identity that differs from the one of R). With definition requiring a multiplicative identity (which is used in this article), the only ideal of R that is a subring of R is R itself.".
- Subring wikiPageID "24873145".
- Subring wikiPageLength "5467".
- Subring wikiPageOutDegree "38".
- Subring wikiPageRevisionID "663478568".
- Subring wikiPageWikiLink 1_(number).
- Subring wikiPageWikiLink Algebraic_extension.
- Subring wikiPageWikiLink Binary_operation.
- Subring wikiPageWikiLink Cambridge_University_Press.
- Subring wikiPageWikiLink Category:Ring_theory.
- Subring wikiPageWikiLink Characteristic_(algebra).
- Subring wikiPageWikiLink Closed_set.
- Subring wikiPageWikiLink Commutative_property.
- Subring wikiPageWikiLink Complex_plane.
- Subring wikiPageWikiLink Dual_number.
- Subring wikiPageWikiLink Field_(mathematics).
- Subring wikiPageWikiLink Field_extension.
- Subring wikiPageWikiLink Generator_(mathematics).
- Subring wikiPageWikiLink Group_extension.
- Subring wikiPageWikiLink Heisenberg_group.
- Subring wikiPageWikiLink Ideal_(ring_theory).
- Subring wikiPageWikiLink Identity_matrix.
- Subring wikiPageWikiLink Integer.
- Subring wikiPageWikiLink Integral_element.
- Subring wikiPageWikiLink Mathematics.
- Subring wikiPageWikiLink Monoid.
- Subring wikiPageWikiLink Nilpotent.
- Subring wikiPageWikiLink Ore_extension.
- Subring wikiPageWikiLink Polynomial.
- Subring wikiPageWikiLink Prime_ideal.
- Subring wikiPageWikiLink Quaternion.
- Subring wikiPageWikiLink Real_number.
- Subring wikiPageWikiLink Ring_(mathematics).
- Subring wikiPageWikiLink Split-complex_number.
- Subring wikiPageWikiLink Split-quaternion.
- Subring wikiPageWikiLink Subgroup.
- Subring wikiPageWikiLink Subring.
- Subring wikiPageWikiLink Subset.
- Subring wikiPageWikiLink Theorem.
- Subring wikiPageWikiLink Unit_(ring_theory).
- Subring wikiPageWikiLinkText "Generating set of a ring".
- Subring wikiPageWikiLinkText "Subring".
- Subring wikiPageWikiLinkText "Subring#Subring generated by a set".
- Subring wikiPageWikiLinkText "Subrings".
- Subring wikiPageWikiLinkText "generator".
- Subring wikiPageWikiLinkText "subring".
- Subring wikiPageUsesTemplate Template:Cite_book.
- Subring wikiPageUsesTemplate Template:Lang_Algebra.
- Subring subject Category:Ring_theory.
- Subring hypernym Subset.
- Subring type ProgrammingLanguage.
- Subring type Redirect.
- Subring comment "In mathematics, a subring of R is a subset of a ring that is itself a ring when binary operations of addition and multiplication on R are restricted to the subset, and which shares the same multiplicative identity as R. For those who define rings without requiring the existence of a multiplicative identity, a subring of R is just a subset of R that is a ring for the operations of R (this does imply it contains the additive identity of R).".
- Subring label "Subring".
- Subring sameAs Q929536.
- Subring sameAs Alirengas.
- Subring sameAs Sous-anneau.
- Subring sameAs 部分環.
- Subring sameAs 부분환.
- Subring sameAs Deelring.
- Subring sameAs Podpierścień.
- Subring sameAs m.06xcd.
- Subring sameAs Подкольцо.
- Subring sameAs Q929536.
- Subring sameAs 子環.
- Subring wasDerivedFrom Subring?oldid=663478568.
- Subring isPrimaryTopicOf Subring.