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On the structure of
principal ideal rings
Thomas William Hungerford |
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Vol. 25 (1968), No. 3, 543–547
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Abstract |
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In this paper all rings are supposed commutative with identity (and all ring direct sums are finite). We distinguish between a principal ideal domain (PID) and a principal ideal ring (PIR) which may not be an integral domain. Our chief purpose is to prove: Theorem 1. Every principal ideal ring R is a direct sum of rings, each of which is the homomorphic image of a principal ideal domain. |
Mathematical Subject Classification
Primary: 13.50
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Milestones
Received: 27 July 1967
Published: 1 June 1968
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Authors |
| Thomas William Hungerford | |
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