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On right alternative
rings without proper right ideals
Erwin Kleinfeld |
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Vol. 31 (1969), No. 1, 87–102
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Abstract |
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It is shown that a right alternative ring R without proper right ideals, of characteristic not two, containing idempotents e and 1, e≠1, such that ex = e(ex) for all x ∈ R must be alternative and hence a Cayley vector matrix algebra of dimension 8 over its center. |
Mathematical Subject Classification
Primary: 17.50
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Milestones
Received: 1 November 1968
Published: 1 October 1969
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Authors |
| Erwin Kleinfeld | |
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