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• Jacobson_radical abstract "In mathematics, more specifically ring theory, a branch of abstract algebra, the Jacobson radical of a ring R is the ideal consisting of those elements in R that annihilate all simple right R-modules. It happens that substituting "left" in place of "right" in the definition yields the same ideal, and so the notion is left-right symmetric. The Jacobson radical of a ring is frequently denoted by J(R) or rad(R); however to avoid confusion with other radicals of rings, the former notation will be preferred in this article. The Jacobson radical is named after Nathan Jacobson, who was the first to study it for arbitrary rings in (Jacobson 1945).The Jacobson radical of a ring has numerous internal characterizations, including a few definitions that successfully extend the notion to rings without unity. The radical of a module extends the definition of the Jacobson radical to include modules. The Jacobson radical plays a prominent role in many ring and module theoretic results, such as Nakayama's lemma.".
• Jacobson_radical wikiPageExternalLink ICM_Vol_2_12.pdf.
• Jacobson_radical wikiPageID "57656".
• Jacobson_radical wikiPageLength "19624".
• Jacobson_radical wikiPageOutDegree "80".
• Jacobson_radical wikiPageRevisionID "674697253".
• Jacobson_radical wikiPageWikiLink 1_(number).
• Jacobson_radical wikiPageWikiLink Abstract_algebra.
• Jacobson_radical wikiPageWikiLink American_Journal_of_Mathematics.
• Jacobson_radical wikiPageWikiLink Annihilator_(ring_theory).
• Jacobson_radical wikiPageWikiLink Artinian_ring.
• Jacobson_radical wikiPageWikiLink C*-algebra.
• Jacobson_radical wikiPageWikiLink Category:Ideals.
• Jacobson_radical wikiPageWikiLink Category:Ring_theory.
• Jacobson_radical wikiPageWikiLink Center_(algebra).
• Jacobson_radical wikiPageWikiLink Commutative_ring.
• Jacobson_radical wikiPageWikiLink Composition_series.
• Jacobson_radical wikiPageWikiLink Essential_extension.
• Jacobson_radical wikiPageWikiLink European_Mathematical_Society.
• Jacobson_radical wikiPageWikiLink Field_(mathematics).
• Jacobson_radical wikiPageWikiLink Finitely_generated_module.
• Jacobson_radical wikiPageWikiLink Formal_power_series.
• Jacobson_radical wikiPageWikiLink Frattini_subgroup.
• Jacobson_radical wikiPageWikiLink Gelfand–Naimark_theorem.
• Jacobson_radical wikiPageWikiLink Graduate_Texts_in_Mathematics.
• Jacobson_radical wikiPageWikiLink Hilbert_space.
• Jacobson_radical wikiPageWikiLink Ideal_(ring_theory).
• Jacobson_radical wikiPageWikiLink Idempotent_element.
• Jacobson_radical wikiPageWikiLink Integer.
• Jacobson_radical wikiPageWikiLink Köthe_conjecture.
• Jacobson_radical wikiPageWikiLink Local_ring.
• Jacobson_radical wikiPageWikiLink Mathematics.
• Jacobson_radical wikiPageWikiLink Maximal_ideal.
• Jacobson_radical wikiPageWikiLink Maximal_submodule.
• Jacobson_radical wikiPageWikiLink Minimal_ideal.
• Jacobson_radical wikiPageWikiLink Modular_arithmetic.
• Jacobson_radical wikiPageWikiLink Module_(mathematics).
• Jacobson_radical wikiPageWikiLink Multiplicative_identity.
• Jacobson_radical wikiPageWikiLink Nakayama_lemma.
• Jacobson_radical wikiPageWikiLink Nakayamas_lemma.
• Jacobson_radical wikiPageWikiLink Nathan_Jacobson.
• Jacobson_radical wikiPageWikiLink Nil_ideal.
• Jacobson_radical wikiPageWikiLink Nilpotent.
• Jacobson_radical wikiPageWikiLink Nilpotent_element.
• Jacobson_radical wikiPageWikiLink Nilpotent_ideal.
• Jacobson_radical wikiPageWikiLink Nilradical_of_a_ring.
• Jacobson_radical wikiPageWikiLink Polynomial_ring.
• Jacobson_radical wikiPageWikiLink Primitive_ideal.
• Jacobson_radical wikiPageWikiLink Primitive_ring.
• Jacobson_radical wikiPageWikiLink Quasiregular_element.
• Jacobson_radical wikiPageWikiLink Quiver_(mathematics).
• Jacobson_radical wikiPageWikiLink Quotient_map.
• Jacobson_radical wikiPageWikiLink Quotient_module.
• Jacobson_radical wikiPageWikiLink Quotient_ring.
• Jacobson_radical wikiPageWikiLink Quotient_space_(topology).
• Jacobson_radical wikiPageWikiLink Radical_of_a_module.
• Jacobson_radical wikiPageWikiLink Radical_of_a_ring.
• Jacobson_radical wikiPageWikiLink Radical_of_an_ideal.
• Jacobson_radical wikiPageWikiLink Right_inverse.
• Jacobson_radical wikiPageWikiLink Ring_(mathematics).
• Jacobson_radical wikiPageWikiLink Ring_homomorphism.
• Jacobson_radical wikiPageWikiLink Ring_theory.
• Jacobson_radical wikiPageWikiLink Semiprimitive_ring.
• Jacobson_radical wikiPageWikiLink Semisimple_algebra.
• Jacobson_radical wikiPageWikiLink Simple_module.
• Jacobson_radical wikiPageWikiLink Spectrum_of_a_C*-algebra.
• Jacobson_radical wikiPageWikiLink Superfluous_submodule.
• Jacobson_radical wikiPageWikiLink Surjective.
• Jacobson_radical wikiPageWikiLink Surjective_function.
• Jacobson_radical wikiPageWikiLink Von_Neumann_regular.
• Jacobson_radical wikiPageWikiLink Von_Neumann_regular_ring.
• Jacobson_radical wikiPageWikiLink Zero_divisor.
• Jacobson_radical wikiPageWikiLink sub%3E%3Cnowiki%3E.
• Jacobson_radical wikiPageWikiLinkText "Jacobson radical".
• Jacobson_radical wikiPageWikiLinkText "Jacobson radical#Equivalent characterizations".
• Jacobson_radical hasPhotoCollection Jacobson_radical.
• Jacobson_radical wikiPageUsesTemplate Template:Citation.
• Jacobson_radical wikiPageUsesTemplate Template:Cite_book.
• Jacobson_radical wikiPageUsesTemplate Template:Harv.
• Jacobson_radical wikiPageUsesTemplate Template:Reflist.
• Jacobson_radical wikiPageUsesTemplate Template:Sfn.
• Jacobson_radical subject Category:Ideals.
• Jacobson_radical subject Category:Ring_theory.
• Jacobson_radical type Article.
• Jacobson_radical type Article.
• Jacobson_radical comment "In mathematics, more specifically ring theory, a branch of abstract algebra, the Jacobson radical of a ring R is the ideal consisting of those elements in R that annihilate all simple right R-modules. It happens that substituting "left" in place of "right" in the definition yields the same ideal, and so the notion is left-right symmetric.".
• Jacobson_radical label "Jacobson radical".
• Jacobson_radical sameAs Jacobson-Radikal.
• Jacobson_radical sameAs Radical_de_Jacobson.
• Jacobson_radical sameAs xd7xa8xd7x93xd7x99xd7xa7xd7x9c_xd7x92xd7x99xd7x99xd7xa7xd7x95xd7x91xd7xa1xd7x95xd7x9f.
• Jacobson_radical sameAs Radicale_di_Jacobson.
• Jacobson_radical sameAs ジャコブソン根基.
• Jacobson_radical sameAs 제이컵슨_근기.
• Jacobson_radical sameAs Jacobson-radicaal.
• Jacobson_radical sameAs Radykał_Jacobsona.
• Jacobson_radical sameAs m.0ftmd.
• Jacobson_radical sameAs Радикал_Джекобсона.
• Jacobson_radical sameAs Радикал_Джекобсона.
• Jacobson_radical sameAs Q1677769.
• Jacobson_radical sameAs Q1677769.

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