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- Bézout_domain abstract "In mathematics, a Bézout domain is a form of a Prüfer domain. It is an integral domain in which the sum of two principal ideals is again a principal ideal. This means that for every pair of elements a Bézout identity holds, and that every finitely generated ideal is principal. Any principal ideal domain (PID) is a Bézout domain, but a Bézout domain need not be a Noetherian ring, so it could have non-finitely generated ideals (which obviously excludes being a PID); if so, it is not a unique factorization domain (UFD), but still is a GCD domain. The theory of Bézout domains retains many of the properties of PIDs, without requiring the Noetherian property. Bézout domains are named after the French mathematician Étienne Bézout.".
- Bézout_domain wikiPageExternalLink bezout_rings_and_their_subrings.pdf.
- Bézout_domain wikiPageID "3131407".
- Bézout_domain wikiPageLength "9293".
- Bézout_domain wikiPageOutDegree "44".
- Bézout_domain wikiPageRevisionID "678004343".
- Bézout_domain wikiPageWikiLink Abelian_group.
- Bézout_domain wikiPageWikiLink Algebraic_integer.
- Bézout_domain wikiPageWikiLink Ascending_chain_condition_on_principal_ideals.
- Bézout_domain wikiPageWikiLink Atomic_domain.
- Bézout_domain wikiPageWikiLink Bxc3xa9zouts_identity.
- Bézout_domain wikiPageWikiLink Category:Commutative_algebra.
- Bézout_domain wikiPageWikiLink Category:Ring_theory.
- Bézout_domain wikiPageWikiLink Dedekind_domain.
- Bézout_domain wikiPageWikiLink Entire_function.
- Bézout_domain wikiPageWikiLink Field_of_fractions.
- Bézout_domain wikiPageWikiLink Finitely_generated_module.
- Bézout_domain wikiPageWikiLink Free_ideal_ring.
- Bézout_domain wikiPageWikiLink French_people.
- Bézout_domain wikiPageWikiLink GCD_domain.
- Bézout_domain wikiPageWikiLink Greatest_common_divisor.
- Bézout_domain wikiPageWikiLink Hereditary_ring.
- Bézout_domain wikiPageWikiLink Integral_domain.
- Bézout_domain wikiPageWikiLink Irreducible_element.
- Bézout_domain wikiPageWikiLink Irving_Kaplansky.
- Bézout_domain wikiPageWikiLink Linear_combination.
- Bézout_domain wikiPageWikiLink Local_ring.
- Bézout_domain wikiPageWikiLink Localization_of_a_ring.
- Bézout_domain wikiPageWikiLink Mathematician.
- Bézout_domain wikiPageWikiLink Mathematics.
- Bézout_domain wikiPageWikiLink Maximal_ideal.
- Bézout_domain wikiPageWikiLink Noetherian_ring.
- Bézout_domain wikiPageWikiLink Ore_condition.
- Bézout_domain wikiPageWikiLink Prime_element.
- Bézout_domain wikiPageWikiLink Prime_ideal.
- Bézout_domain wikiPageWikiLink Principal_ideal.
- Bézout_domain wikiPageWikiLink Principal_ideal_domain.
- Bézout_domain wikiPageWikiLink Principal_ideal_ring.
- Bézout_domain wikiPageWikiLink Prüfer_domain.
- Bézout_domain wikiPageWikiLink Total_order.
- Bézout_domain wikiPageWikiLink Unique_factorization_domain.
- Bézout_domain wikiPageWikiLink Valuation_ring.
- Bézout_domain wikiPageWikiLink Étienne_Bézout.
- Bézout_domain wikiPageWikiLinkText "Bézout domain".
- Bézout_domain id "p/b015990".
- Bézout_domain title "Bezout ring".
- Bézout_domain wikiPageUsesTemplate Template:=.
- Bézout_domain wikiPageUsesTemplate Template:Citation.
- Bézout_domain wikiPageUsesTemplate Template:Reflist.
- Bézout_domain wikiPageUsesTemplate Template:Springer.
- Bézout_domain subject Category:Commutative_algebra.
- Bézout_domain subject Category:Ring_theory.
- Bézout_domain hypernym Form.
- Bézout_domain type Diacritic.
- Bézout_domain type Redirect.
- Bézout_domain comment "In mathematics, a Bézout domain is a form of a Prüfer domain. It is an integral domain in which the sum of two principal ideals is again a principal ideal. This means that for every pair of elements a Bézout identity holds, and that every finitely generated ideal is principal.".
- Bézout_domain label "Bézout domain".
- Bézout_domain sameAs Q2386260.
- Bézout_domain sameAs Bézoutův_obor.
- Bézout_domain sameAs Anneau_de_Bézout.
- Bézout_domain sameAs תחום_בזו.
- Bézout_domain sameAs ベズー整域.
- Bézout_domain sameAs 베주_정역.
- Bézout_domain sameAs m.08tfxy.
- Bézout_domain sameAs Кольцо_Безу.
- Bézout_domain sameAs Кільце_Безу.
- Bézout_domain sameAs Q2386260.
- Bézout_domain wasDerivedFrom Bézout_domain?oldid=678004343.
- Bézout_domain isPrimaryTopicOf Bézout_domain.