- Title
- Rational homogeneous algebras
- Creator
- MacDougall, J. A.; Sweet, L. G.
- Relation
- Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques Vol. 55, Issue 2, p. 351-354
- Publisher Link
- http://dx.doi.org/10.4153/CMB-2011-087-5
- Publisher
- University of Toronto Press
- Resource Type
- journal article
- Date
- 2012
- Description
- 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 dim A > 1, then A2 = 0.
- Subject
- non-associative algebra; homogeneous; automorphism
- Identifier
- http://hdl.handle.net/1959.13/1313152
- Identifier
- uon:22533
- Identifier
- ISSN:0008-4395
- Language
- eng
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