Representing the GCD as linear combination in non-PID rings
نویسندگان
چکیده
منابع مشابه
Generalized GCD Rings II
Greatest common divisors and least common multiples of quotients of elements of integral domains have been investigated by Lüneburg and further by Jäger. In this paper we extend these results to invertible fractional ideals. We also lift our earlier study of the greatest common divisor and least common multiple of finitely generated faithful multiplication ideals to finitely generated projectiv...
متن کاملGeneralized GCD Rings
All rings are assumed to be commutative with identity. A generalized GCD ring (G-GCD ring) is a ring (zero-divisors admitted) in which the intersection of every two finitely generated (f.g.) faithful multiplication ideals is a f.g. faithful multiplication ideal. Various properties of G-GCD rings are considered. We generalize some of Jäger’s and Lüneburg’s results to f.g. faithful multiplication...
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ژورنال
عنوان ژورنال: Acta Mathematica Hungarica
سال: 2013
ISSN: 0236-5294,1588-2632
DOI: 10.1007/s10474-013-0314-z