On the Existence of a Basis for Every Finite Abelian Group
نویسندگان
چکیده
منابع مشابه
Every Abelian Group Is a Class Group
Let T be the set of minimal primes of a Krull domain A. If S is a subset of T9 we form B = n AP for PeS and study the relation of the class group of B to that of A. We find that the class group of B is always a homomorphic image of that of A. We use this type of construction to obtain a Krull domain with specified class group and then alter such a Krull domain to obtain a Dedekind domain with t...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1951
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.37.6.359