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On Loewy length of
rings
Victor P. Camillo and Kent Ralph Fuller |
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Vol. 53 (1974), No. 2, 347–354
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Abstract |
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Associated with each ring R over which every nonzero right module has a minimal submodule is an ordinal number called its right (lower) Loewy length. The concern here is with the various possible left and right Loewy lengths of such rings with zero radical and with the possible right-left symmetry of this minimal submodule condition. In particular, if R has finite right Loewy length n then R has left Loewy length ≦ 2n − 1. |
Mathematical Subject Classification
Primary: 16A46
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Milestones
Received: 28 June 1973
Published: 1 August 1974
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Authors |
| Victor P. Camillo | |
| Kent Ralph Fuller | |
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