Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Group_ring> ?p ?o }
- Group_ring abstract "In algebra, a group ring is a free module and at the same time a ring, constructed in a natural way from any given ring and any given group. As a free module, its ring of scalars is the given ring, and its basis is one-to-one with the given group. As a ring, its addition law is that of the free module and its multiplication extends \"by linearity\" the given group law on the basis. Less formally, a group ring is a generalization of a given group, by attaching to each element of the group a \"weighting factor\" from a given ring.If the given ring is commutative, a group ring is also referred to as a group algebra, for it is indeed an algebra over the given ring.The apparatus of group rings is especially useful in the theory of group representations.".
- Group_ring wikiPageExternalLink Representation_Theory_of_Finite_Groups_a.html?id=RKwjeZKMr8oC.
- Group_ring wikiPageExternalLink The_Algebraic_Structure_of_Group_Rings.html?id=2xrSHX-rpGMC.
- Group_ring wikiPageID "349223".
- Group_ring wikiPageLength "17243".
- Group_ring wikiPageOutDegree "85".
- Group_ring wikiPageRevisionID "705220704".
- Group_ring wikiPageWikiLink Abelian_group.
- Group_ring wikiPageWikiLink Adjoint_functors.
- Group_ring wikiPageWikiLink Algebra.
- Group_ring wikiPageWikiLink Algebra_over_a_field.
- Group_ring wikiPageWikiLink Basis_(linear_algebra).
- Group_ring wikiPageWikiLink Categorical_algebra.
- Group_ring wikiPageWikiLink Category:Harmonic_analysis.
- Group_ring wikiPageWikiLink Category:Representation_theory_of_groups.
- Group_ring wikiPageWikiLink Category:Ring_theory.
- Group_ring wikiPageWikiLink Category_of_groups.
- Group_ring wikiPageWikiLink Category_of_rings.
- Group_ring wikiPageWikiLink Category_theory.
- Group_ring wikiPageWikiLink Center_(group_theory).
- Group_ring wikiPageWikiLink Character_theory.
- Group_ring wikiPageWikiLink Characteristic_(algebra).
- Group_ring wikiPageWikiLink Charles_W._Curtis.
- Group_ring wikiPageWikiLink Class_function_(algebra).
- Group_ring wikiPageWikiLink Cofiniteness.
- Group_ring wikiPageWikiLink Complex_number.
- Group_ring wikiPageWikiLink Convolution.
- Group_ring wikiPageWikiLink Coxeter_group.
- Group_ring wikiPageWikiLink Cyclic_group.
- Group_ring wikiPageWikiLink Discrete_space.
- Group_ring wikiPageWikiLink Elementary_amenable_group.
- Group_ring wikiPageWikiLink Endomorphism.
- Group_ring wikiPageWikiLink Endomorphism_ring.
- Group_ring wikiPageWikiLink Filtered_algebra.
- Group_ring wikiPageWikiLink Finite_group.
- Group_ring wikiPageWikiLink Free_group.
- Group_ring wikiPageWikiLink Free_module.
- Group_ring wikiPageWikiLink Group_(mathematics).
- Group_ring wikiPageWikiLink Group_algebra.
- Group_ring wikiPageWikiLink Group_representation.
- Group_ring wikiPageWikiLink Incidence_algebra.
- Group_ring wikiPageWikiLink Indicator_function.
- Group_ring wikiPageWikiLink Integral_domain.
- Group_ring wikiPageWikiLink Irving_Kaplansky.
- Group_ring wikiPageWikiLink Irving_Reiner.
- Group_ring wikiPageWikiLink Jacobson_radical.
- Group_ring wikiPageWikiLink Laurent_polynomial.
- Group_ring wikiPageWikiLink Length_function.
- Group_ring wikiPageWikiLink Maschkes_theorem.
- Group_ring wikiPageWikiLink Matrix_ring.
- Group_ring wikiPageWikiLink Modular_representation_theory.
- Group_ring wikiPageWikiLink Module_(mathematics).
- Group_ring wikiPageWikiLink Monoid_ring.
- Group_ring wikiPageWikiLink Nilpotent.
- Group_ring wikiPageWikiLink Partially_ordered_group.
- Group_ring wikiPageWikiLink Product_of_rings.
- Group_ring wikiPageWikiLink Regular_representation.
- Group_ring wikiPageWikiLink Ring_(mathematics).
- Group_ring wikiPageWikiLink Root_of_unity.
- Group_ring wikiPageWikiLink Semisimple_module.
- Group_ring wikiPageWikiLink Subgroup.
- Group_ring wikiPageWikiLink Subring.
- Group_ring wikiPageWikiLink Support_(mathematics).
- Group_ring wikiPageWikiLink Topological_group.
- Group_ring wikiPageWikiLink Torsion_(algebra).
- Group_ring wikiPageWikiLink Unit_(ring_theory).
- Group_ring wikiPageWikiLink Universal_property.
- Group_ring wikiPageWikiLink Virtually.
- Group_ring wikiPageWikiLink Word_metric.
- Group_ring wikiPageWikiLink Zero_divisor.
- Group_ring wikiPageWikiLinkText "Group ring".
- Group_ring wikiPageWikiLinkText "Group ring#Representations of a group algebra".
- Group_ring wikiPageWikiLinkText "group C*-algebra".
- Group_ring wikiPageWikiLinkText "group algebra".
- Group_ring wikiPageWikiLinkText "group ring".
- Group_ring wikiPageWikiLinkText "integral group ring".
- Group_ring wikiPageWikiLinkText "zero-divisors conjecture".
- Group_ring author "A. A. Bovdi".
- Group_ring id "G/g045220".
- Group_ring title "Group algebra".
- Group_ring wikiPageUsesTemplate Template:About.
- Group_ring wikiPageUsesTemplate Template:Expand_section.
- Group_ring wikiPageUsesTemplate Template:Mapsto.
- Group_ring wikiPageUsesTemplate Template:Reflist.
- Group_ring wikiPageUsesTemplate Template:Springer.
- Group_ring subject Category:Harmonic_analysis.
- Group_ring subject Category:Representation_theory_of_groups.
- Group_ring subject Category:Ring_theory.
- Group_ring hypernym Module.
- Group_ring type Software.
- Group_ring comment "In algebra, a group ring is a free module and at the same time a ring, constructed in a natural way from any given ring and any given group. As a free module, its ring of scalars is the given ring, and its basis is one-to-one with the given group. As a ring, its addition law is that of the free module and its multiplication extends \"by linearity\" the given group law on the basis.".
- Group_ring label "Group ring".
- Group_ring sameAs Q2602722.
- Group_ring sameAs Grupový_okruh.
- Group_ring sameAs Algxc3xa8bre_dun_groupe_fini.
- Group_ring sameAs חוג_חבורה.
- Group_ring sameAs 群環.
- Group_ring sameAs 군환.
- Group_ring sameAs m.01z1qd.
- Group_ring sameAs Групповое_кольцо.