Moufang identities

the Moufang identities are designated after Ruth Moufang, a German Mathematikerin. They aremore weakly than the associative law, but more strongly than the Alternativität.

definition

the Moufang identities are given by the two following relations:

  • [A · (b · A)] · C = A · [b · (A · C)]

and

  • (A · b) · (C · A) = A · [(b · C) · A]

remarks

from the first Moufang identity follows the Alternativität with b = 1.

see also

 

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