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Semi-simplicity of alternative loop rings

✍ Scribed by E. G. Goodaire; M. M. Parmenter


Publisher
Akadmiai Kiad
Year
1987
Tongue
English
Weight
396 KB
Volume
50
Category
Article
ISSN
1588-2632

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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 Ε½ . 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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