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Abstract It is proved that every unital right alternative bimodule over a Cayley algebra (over an algebraically closed field of characteristic not 2) is alternative. Using this result, a coordinatization… Click to show full abstract
Abstract It is proved that every unital right alternative bimodule over a Cayley algebra (over an algebraically closed field of characteristic not 2) is alternative. Using this result, a coordinatization theorem is proved for unital right alternative algebras containing a Cayley subalgebra with the same unit. In particular, any such an algebra is alternative.
Keywords:
right alternative;
alternative bimodules;
cayley algebra;
coordinatization theorem
Journal Title: Journal of Algebra
Year Published: 2021
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Journal Title: Journal of Algebra
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!