Keywords

#gcd_domain

GCD domain

Mathematical structure with greatest common divisors

In mathematics, a GCD domain is an integral domain R with the property that any two elements have a greatest common divisor (GCD); i.e., there is a unique minimal principal ideal containing the ideal generated by two given elements. Equivalently, any two elements of R have a least common multiple (LCM).

Tue 6th

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GCD domain Gauss's lemma (polynomials) Unique factorization domain Greatest common divisor Integral domain Principal ideal domain Bézout domain Domain Integrally closed domain Schreier domain
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