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An integral domain in which any two nonzero elements have a greatest common divisor.
wp-gcd-domainnlab-gcd-domainmilne-algebraic-number-theoryEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Require greatest common divisors for pairs of nonzero elements.
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-gcd-domainmilne-algebraic-number-theoryEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Require existence of factorizations into irreducibles; uniqueness then has the UFD form.
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-ufdmilne-algebraic-number-theory