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A note on Moufang Veblen-Wedderburn systems


Author: M. L. Narayana Rao
Journal: Proc. Amer. Math. Soc. 24 (1970), 409-410
MSC: Primary 50.70; Secondary 20.00
DOI: https://doi.org/10.1090/S0002-9939-1970-0259742-4
MathSciNet review: 0259742
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Abstract: The purpose of this note is to show that a Veblen-Wedderburn system with multiplicative Moufang identity is a near field if its dimension $ d$ over its kern does not exceed $ 7$.


References [Enhancements On Off] (What's this?)

  • [1] R. H. Bruck, A survey of binary systems, Ergebnisse der Mathematik und ikrer Grenzgebiete, Heft 20, Springer-Verlag, Berlin, 1958. MR 20 #76. MR 0093552 (20:76)
  • [2] M. J. Kalaher, Moufang Veblen-Wedderburn systems, Math. Z. 105 (1968), 114-127. MR 37 #3438. MR 0227854 (37:3438)
  • [3] M. L. Narayana Rao, A question on finite Moufang Veblen-Wedderburn systems, J. Algebra (to appear). MR 0248627 (40:1878)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1970-0259742-4
Keywords: Veblen-Wedderburn systems, Moufang identity, projective planes, near fields, power associativity, di-associativity, associativity
Article copyright: © Copyright 1970 American Mathematical Society

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