Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> JSTOR: The Annals of Mathematics, Second Series, Vol. 49, No. 3 (Jul., 1948), pp. 702-709
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Bibliographic Info

Citation

  • The Radical of an Alternative Ring
  • Author(s): M. F. Smiley
  • Source: The Annals of Mathematics, Second Series, Vol. 49, No. 3 (Jul., 1948), pp. 702-709
  • Published by: Annals of Mathematics
  • Stable URL: http://www.jstor.org/stable/1969053

Abstract

In this paper, we study alternative algebras Λ over a commutative, associative ring R with identity. When Λ is finitely generated as an R-module, we define the radical J of Λ. We show that matrix units and split Cayley algebras can be lifted from Λ/J to ...

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