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Dedekind domains:
Overrings and semi-prime elements
Luther Elic Claborn |
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Vol. 15 (1965), No. 3, 799–804
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Abstract |
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This paper develops two themes: (1) the relation of the class group of a Dedekind domain A to that of an overring B and (2) the question of finding a nonzero, nonunit element x of a Dedekind domain A such that A∕xA is regular. We obtain complete results in answer to the first question, giving a corollary concerning the realization of certain groups as class groups. We give various sufficient conditions in answer to the second question; some in terms of the class group, others concerning Dedekind domains which often arise in practice. |
Mathematical Subject Classification
Primary: 13.20
Secondary: 13.80
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Milestones
Received: 27 August 1964
Published: 1 September 1965
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Authors |
| Luther Elic Claborn | |
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