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- Direct_sum_of_modules abstract "In abstract algebra, the direct sum is a construction which combines several modules into a new, larger module. The direct sum of modules is the smallest module which contains the given modules as submodules with no "unnecessary" constraints, making it an example of a coproduct. Contrast with the direct product, which is the dual notion.The most familiar examples of this construction occur when considering vector spaces (modules over a field) and abelian groups (modules over the ring Z of integers). The construction may also be extended to cover Banach spaces and Hilbert spaces.".
- Direct_sum_of_modules wikiPageID "58899".
- Direct_sum_of_modules wikiPageLength "21655".
- Direct_sum_of_modules wikiPageOutDegree "97".
- Direct_sum_of_modules wikiPageRevisionID "636440060".
- Direct_sum_of_modules wikiPageWikiLink Abelian_group.
- Direct_sum_of_modules wikiPageWikiLink Abstract_algebra.
- Direct_sum_of_modules wikiPageWikiLink Algebra_over_a_field.
- Direct_sum_of_modules wikiPageWikiLink Banach_space.
- Direct_sum_of_modules wikiPageWikiLink Bicomplex_number.
- Direct_sum_of_modules wikiPageWikiLink Bilinear_form.
- Direct_sum_of_modules wikiPageWikiLink Biproduct.
- Direct_sum_of_modules wikiPageWikiLink C0_space.
- Direct_sum_of_modules wikiPageWikiLink Cartesian_product.
- Direct_sum_of_modules wikiPageWikiLink Category:Linear_algebra.
- Direct_sum_of_modules wikiPageWikiLink Category:Module_theory.
- Direct_sum_of_modules wikiPageWikiLink Category_(category_theory).
- Direct_sum_of_modules wikiPageWikiLink Category_(mathematics).
- Direct_sum_of_modules wikiPageWikiLink Category_theory.
- Direct_sum_of_modules wikiPageWikiLink Cofinitely_many.
- Direct_sum_of_modules wikiPageWikiLink Cofiniteness.
- Direct_sum_of_modules wikiPageWikiLink Compact_support.
- Direct_sum_of_modules wikiPageWikiLink Complete_metric_space.
- Direct_sum_of_modules wikiPageWikiLink Completeness_(topology).
- Direct_sum_of_modules wikiPageWikiLink Composition_algebra.
- Direct_sum_of_modules wikiPageWikiLink Composition_series.
- Direct_sum_of_modules wikiPageWikiLink Coproduct.
- Direct_sum_of_modules wikiPageWikiLink Dimension_(vector_space).
- Direct_sum_of_modules wikiPageWikiLink Dimension_of_a_vector_space.
- Direct_sum_of_modules wikiPageWikiLink Direct_product.
- Direct_sum_of_modules wikiPageWikiLink Direct_sum.
- Direct_sum_of_modules wikiPageWikiLink Disjoint_union.
- Direct_sum_of_modules wikiPageWikiLink Domain_of_a_function.
- Direct_sum_of_modules wikiPageWikiLink Dual_(category_theory).
- Direct_sum_of_modules wikiPageWikiLink Dual_space.
- Direct_sum_of_modules wikiPageWikiLink Duality_(category_theory).
- Direct_sum_of_modules wikiPageWikiLink Fiber_bundle.
- Direct_sum_of_modules wikiPageWikiLink Field_(mathematics).
- Direct_sum_of_modules wikiPageWikiLink Finite_set.
- Direct_sum_of_modules wikiPageWikiLink Function_(mathematics).
- Direct_sum_of_modules wikiPageWikiLink Grothendieck_group.
- Direct_sum_of_modules wikiPageWikiLink Hilbert_space.
- Direct_sum_of_modules wikiPageWikiLink Hypercomplex_number.
- Direct_sum_of_modules wikiPageWikiLink Ian_R._Porteous.
- Direct_sum_of_modules wikiPageWikiLink Indecomposable_module.
- Direct_sum_of_modules wikiPageWikiLink Index_set.
- Direct_sum_of_modules wikiPageWikiLink Indexed_family.
- Direct_sum_of_modules wikiPageWikiLink Inner_product.
- Direct_sum_of_modules wikiPageWikiLink Inner_product_space.
- Direct_sum_of_modules wikiPageWikiLink Integer.
- Direct_sum_of_modules wikiPageWikiLink Interval_analysis.
- Direct_sum_of_modules wikiPageWikiLink Interval_arithmetic.
- Direct_sum_of_modules wikiPageWikiLink James_Cockle.
- Direct_sum_of_modules wikiPageWikiLink James_Cockle_(lawyer).
- Direct_sum_of_modules wikiPageWikiLink Jordan–Hölder_theorem.
- Direct_sum_of_modules wikiPageWikiLink Joseph_Wedderburn.
- Direct_sum_of_modules wikiPageWikiLink Krull–Schmidt_theorem.
- Direct_sum_of_modules wikiPageWikiLink Length_of_a_module.
- Direct_sum_of_modules wikiPageWikiLink Limit_(category_theory).
- Direct_sum_of_modules wikiPageWikiLink Lindenstrauss–Tzafriri_theorem.
- Direct_sum_of_modules wikiPageWikiLink Module_(mathematics).
- Direct_sum_of_modules wikiPageWikiLink Monoid.
- Direct_sum_of_modules wikiPageWikiLink Norm_(mathematics).
- Direct_sum_of_modules wikiPageWikiLink Orthogonal.
- Direct_sum_of_modules wikiPageWikiLink Orthogonal_complement.
- Direct_sum_of_modules wikiPageWikiLink Orthogonality.
- Direct_sum_of_modules wikiPageWikiLink Positive-definite_kernel.
- Direct_sum_of_modules wikiPageWikiLink Positive_definite_kernel.
- Direct_sum_of_modules wikiPageWikiLink Product_(category_theory).
- Direct_sum_of_modules wikiPageWikiLink Rank_of_an_abelian_group.
- Direct_sum_of_modules wikiPageWikiLink Ring_homomorphism.
- Direct_sum_of_modules wikiPageWikiLink Ring_isomorphism.
- Direct_sum_of_modules wikiPageWikiLink Sequence_space.
- Direct_sum_of_modules wikiPageWikiLink Set_(mathematics).
- Direct_sum_of_modules wikiPageWikiLink Split-biquaternion.
- Direct_sum_of_modules wikiPageWikiLink Split-complex_number.
- Direct_sum_of_modules wikiPageWikiLink Split_exact_sequence.
- Direct_sum_of_modules wikiPageWikiLink Splitting_lemma.
- Direct_sum_of_modules wikiPageWikiLink Submodule.
- Direct_sum_of_modules wikiPageWikiLink Support_(mathematics).
- Direct_sum_of_modules wikiPageWikiLink Tensor_product.
- Direct_sum_of_modules wikiPageWikiLink Tensor_product_of_algebras.
- Direct_sum_of_modules wikiPageWikiLink Tessarine.
- Direct_sum_of_modules wikiPageWikiLink Universal_property.
- Direct_sum_of_modules wikiPageWikiLink Vector_space.
- Direct_sum_of_modules wikiPageWikiLink William_Kingdon_Clifford.
- Direct_sum_of_modules wikiPageWikiLinkText "(orthogonal) direct sum".
- Direct_sum_of_modules wikiPageWikiLinkText "Direct sum of modules".
- Direct_sum_of_modules wikiPageWikiLinkText "Direct sum of modules#Banachspaces".
- Direct_sum_of_modules wikiPageWikiLinkText "Direct sum of modules#Direct sum of algebras".
- Direct_sum_of_modules wikiPageWikiLinkText "Direct sum of modules#Direct sum of modules with bilinear forms".
- Direct_sum_of_modules wikiPageWikiLinkText "Direct sum of modules#Hilbertspaces".
- Direct_sum_of_modules wikiPageWikiLinkText "Direct sum of modules#Internal direct sum".
- Direct_sum_of_modules wikiPageWikiLinkText "Direct sum".
- Direct_sum_of_modules wikiPageWikiLinkText "complementary".
- Direct_sum_of_modules wikiPageWikiLinkText "component".
- Direct_sum_of_modules wikiPageWikiLinkText "direct sum algebra".
- Direct_sum_of_modules wikiPageWikiLinkText "direct sum of algebras".
- Direct_sum_of_modules wikiPageWikiLinkText "direct sum of modules".
- Direct_sum_of_modules wikiPageWikiLinkText "direct sum of two fields".