Commutant-Associative Algebra

Please note that the content of this book primarily consists of articles
available from Wikipedia or other free sources online. In abstract
algebra, a commutant-associative algebra is a nonassociative algebra
over a field whose multiplication satisfies the following axiom:
([A1,A2],[A3,A4],[A5,A6]) = 0, where [A, B] = AB ¿ BA is the commutator
of A and B and (A, B, C) = (AB)C - A(BC) is the associator of A, B and
C. In other words, an algebra M is commutant-associative if the
commutant, i.e. the subalgebra of M generated by all commutators [A, B],
is an associative algebra.