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- GCD_domain abstract "In mathematics, a GCD domain is an integral domain R with the property that any two non-zero elements have a greatest common divisor (GCD). Equivalently, any two non-zero elements of R have a least common multiple (LCM).A GCD domain generalizes a unique factorization domain to the non-Noetherian setting in the following sense: an integral domain is a UFD if and only if it is a GCD domain satisfying the ascending chain condition on principal ideals (and in particular if it is Noetherian).".
- GCD_domain wikiPageID "2932361".
- GCD_domain wikiPageRevisionID "592425781".
- GCD_domain hasPhotoCollection GCD_domain.
- GCD_domain subject Category:Commutative_algebra.
- GCD_domain subject Category:Ring_theory.
- GCD_domain comment "In mathematics, a GCD domain is an integral domain R with the property that any two non-zero elements have a greatest common divisor (GCD). Equivalently, any two non-zero elements of R have a least common multiple (LCM).A GCD domain generalizes a unique factorization domain to the non-Noetherian setting in the following sense: an integral domain is a UFD if and only if it is a GCD domain satisfying the ascending chain condition on principal ideals (and in particular if it is Noetherian).".
- GCD_domain label "Anneau à PGCD".
- GCD_domain label "GCD domain".
- GCD_domain sameAs Anneau_à_PGCD.
- GCD_domain sameAs m.08dhsq.
- GCD_domain sameAs Q2851438.
- GCD_domain sameAs Q2851438.
- GCD_domain wasDerivedFrom GCD_domain?oldid=592425781.
- GCD_domain isPrimaryTopicOf GCD_domain.