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Alternative Loop Rings with Solvable Unit Loops

✍ Scribed by Edgar G Goodaire; César Polcino Milies

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 129 KB
Volume: 240
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8662

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✦ Synopsis

Let L be an RA loop, that is, a loop whose loop ring in any characteristic is an alternative, but not associative, ring. We find necessary and sufficient conditions Ž . for the Moufang unit loop of RL to be solvable when R is the ring of rational integers or an arbitrary field.

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