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- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain abstract "In mathematics, in the field of abstract algebra, the structure theorem for finitely generated modules over a principal ideal domain is a generalization of the fundamental theorem of finitely generated abelian groups and roughly states that finitely generated modules can be uniquely decomposed in much the same way that integers have a prime factorization. The result provides a simple framework to understand various canonical form results for square matrices over fields.".
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageID "9902787".
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageLength "14152".
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageOutDegree "61".
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageRevisionID "677457793".
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Abstract_algebra.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Algebraically_closed_field.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Baer–Specker_group.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Basis_(linear_algebra).
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Basis_(vector_space).
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Canonical_form.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Category:Module_theory.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Category:Theorems_in_abstract_algebra.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Characteristic_polynomial.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Coherent_ring.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Companion_matrix.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Complete_set_of_invariants.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Composition_series.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Dimension_(vector_space).
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Direct_sum_of_modules.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Field_(mathematics).
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Finite-dimensional_vector_space.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Finitely_generated_abelian_group.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Finitely_generated_module.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Finitely_presented_module.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Free_module.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Frobenius_normal_form.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Fundamental_theorem_of_finitely_generated_abelian_groups.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Ideal_class_group.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Indecomposable_module.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Integer_factorization.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Invariant_factor.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Invariant_factors.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Jordan_block.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Jordan_canonical_form.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Jordan_matrix.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Jordan_normal_form.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Jordan–Hölder_theorem.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Kernel_(algebra).
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Krull–Schmidt_theorem.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Large_cardinal.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Lasker-Noether_theorem.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Lasker–Noether_theorem.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Mathematics.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Minimal_polynomial_(field_theory).
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Noetherian_ring.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Primary_decomposition.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Primary_ideal.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Primary_rational_canonical_form.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Prime_factorization.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Principal_ideal_domain.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Rational_canonical_form.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Smith_normal_form.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Torsion-free_module.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Torsion_(algebra).
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Torsion_submodule.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLink Unit_(ring_theory).
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLinkText "Primary decomposition (up to reordering) or invariant factor decomposition".
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLinkText "Structure theorem for finitely generated modules over a principal ideal domain".
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLinkText "corollaries".
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLinkText "structure theorem for finitely generated modules over a principal ideal domain".
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageWikiLinkText "structure theorem".
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain hasPhotoCollection Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageUsesTemplate Template:Citation.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageUsesTemplate Template:Math.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageUsesTemplate Template:Refbegin.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageUsesTemplate Template:Refend.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wikiPageUsesTemplate Template:Reflist.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain subject Category:Module_theory.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain subject Category:Theorems_in_abstract_algebra.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain hypernym Generalization.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain type Theorem.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain comment "In mathematics, in the field of abstract algebra, the structure theorem for finitely generated modules over a principal ideal domain is a generalization of the fundamental theorem of finitely generated abelian groups and roughly states that finitely generated modules can be uniquely decomposed in much the same way that integers have a prime factorization. The result provides a simple framework to understand various canonical form results for square matrices over fields.".
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain label "Structure theorem for finitely generated modules over a principal ideal domain".
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain sameAs Teorema_destructura_dels_mxc3xb2duls_finitament_generats_sobre_un_domini_dideals_principals.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain sameAs Théorème_des_facteurs_invariants.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain sameAs m.02pwhps.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain sameAs Структурная_теорема_для_конечнопорожденных_модулей_над_областями_главных_идеалов.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain sameAs Q7888360.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain sameAs Q7888360.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain wasDerivedFrom Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain?oldid=677457793.
- Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain isPrimaryTopicOf Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain.