The algebras are over a field.
The answer to the question is yes when B and C are generated by 1 element each. Over the octonions, the answer to the question is then yes. What about in general?
2026-03-25 11:03:25.1774436605
Given an alternative algebra A, is the algebra generated by two commutative, associative subalgebras B and C always associative?
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