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On rings with bounded
annihilators
John Allen Beachy and William David Blair |
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Vol. 95 (1981), No. 1, 1–10
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Abstract |
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Commutative rings for which the annihilator of each finitely generated module is determined by n or fewer elements are studied. For Artinian rings the bound n is explicitly determined. Noetherian rings satisfying this condition are of Krull dimension one. A new characterization of Dedekind domains is given, and the relationship between the bound and the number of generators of ideals is studied. |
Mathematical Subject Classification 2000
Primary: 13F05
Secondary: 16A34
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Milestones
Received: 18 April 1980
Published: 1 July 1981
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Authors |
| John Allen Beachy | |
| William David Blair | |
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