A condition Guaranteeing Commutativity

نویسندگان

Irvin Roy Hentzel

David Pokrass Jacobs

چکیده

We give a simple characterization for a nonassociative algebra A, having characteristic 6= 2, to be commutative. Namely, A is commutative if and only if it is exible with a commuting set of generators. A counterexample shows that characteristic 6= 2 is necessary. Both the characterization and the counterexample were discovered using the computer algebra system in [2].

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