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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.".
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• Direct_sum_of_modules wikiPageLength "21705".
• Direct_sum_of_modules wikiPageOutDegree "97".
• Direct_sum_of_modules wikiPageRevisionID "693032056".
• 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 Cartesian_product.
• Direct_sum_of_modules wikiPageWikiLink Category:Linear_algebra.
• Direct_sum_of_modules wikiPageWikiLink Category:Module_theory.
• Direct_sum_of_modules wikiPageWikiLink Category_(mathematics).
• Direct_sum_of_modules wikiPageWikiLink Category_theory.
• Direct_sum_of_modules wikiPageWikiLink Cofiniteness.
• Direct_sum_of_modules wikiPageWikiLink Complete_metric_space.
• 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 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 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_space.
• Direct_sum_of_modules wikiPageWikiLink Integer.
• Direct_sum_of_modules wikiPageWikiLink Interval_arithmetic.
• Direct_sum_of_modules wikiPageWikiLink James_Cockle.
• 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_complement.
• Direct_sum_of_modules wikiPageWikiLink Orthogonality.
• 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 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 Splitting_lemma.
• 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 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".
• Direct_sum_of_modules wikiPageWikiLinkText "direct sum".
• Direct_sum_of_modules wikiPageWikiLinkText "direct summand".
• Direct_sum_of_modules wikiPageWikiLinkText "direct summation".
• Direct_sum_of_modules wikiPageWikiLinkText "direct sums of modules".
• Direct_sum_of_modules wikiPageWikiLinkText "direct sums".
• Direct_sum_of_modules wikiPageWikiLinkText "direct".
• Direct_sum_of_modules wikiPageWikiLinkText "general result".
• Direct_sum_of_modules wikiPageWikiLinkText "internal direct sum".
• Direct_sum_of_modules wikiPageWikiLinkText "sum of subspaces".
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• Direct_sum_of_modules wikiPageUsesTemplate Template:For.
• Direct_sum_of_modules wikiPageUsesTemplate Template:Further2.
• Direct_sum_of_modules wikiPageUsesTemplate Template:Harv.
• Direct_sum_of_modules wikiPageUsesTemplate Template:Mergefrom.
• Direct_sum_of_modules wikiPageUsesTemplate Template:Reflist.
• Direct_sum_of_modules wikiPageUsesTemplate Template:See_also.
• Direct_sum_of_modules subject Category:Linear_algebra.

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