Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals
Search results

Search: MSC category 17D99 ( None of the above, but in this section )

 Expand all        Collapse all Results 1 - 1 of 1

1. CMB 2011 (vol 55 pp. 351)

MacDougall, J. A.; Sweet, L. G.
 Rational Homogeneous Algebras An algebra \$A\$ is homogeneous if the automorphism group of \$A\$ acts transitively on the one-dimensional subspaces of \$A\$. The existence of homogeneous algebras depends critically on the choice of the scalar field. We examine the case where the scalar field is the rationals. We prove that if \$A\$ is a rational homogeneous algebra with \$\operatorname{dim} A>1\$, then \$A^{2}=0\$. Keywords:non-associative algebra, homogeneous, automorphismCategories:17D99, 17A36

© Canadian Mathematical Society, 2014 : https://cms.math.ca/