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- Bézout_domain abstract "In mathematics, a Bézout domain 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 wikiPageID "3131407".
- Bézout_domain wikiPageRevisionID "579021889".
- Bézout_domain id "p/b015990".
- Bézout_domain title "Bezout ring".
- Bézout_domain subject Category:Commutative_algebra.
- Bézout_domain subject Category:Ring_theory.
- Bézout_domain comment "In mathematics, a Bézout domain 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 "Anneau de Bézout".
- Bézout_domain label "Bézout domain".
- Bézout_domain label "Кольцо Безу".
- Bézout_domain sameAs B%C3%A9zout_domain.
- Bézout_domain sameAs Bézoutův_obor.
- Bézout_domain sameAs Anneau_de_Bézout.
- Bézout_domain sameAs Q2386260.
- Bézout_domain sameAs Q2386260.
- Bézout_domain wasDerivedFrom Bézout_domain?oldid=579021889.