: Mathematics: flexible algebra

algebra > abstract algebra > algebraic structure > associative algebra > flexible algebra

... > abstract algebra > algebraic structure > algebra over a field > non-associative algebra > flexible algebra

number > elementary arithmetic > operation > binary operation > flexible algebra

algebra > elementary algebra > operation > binary operation > flexible algebra

flexible algebra

In mathematics, particularly abstract algebra, a binary operation • on a set is flexible if it satisfies the flexible identity:
${\\displaystyle a\ullet \\left(b\ullet a\ ight)=\\left(a\ullet b\ ight)\ullet a}$
for any two elements a and b of the set. A magma (that is, a set equipped with a binary operation) is flexible if the binary operation with which it is equipped is flexible. Similarly, a nonassociative algebra is flexible if its multiplication operator is flexible.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Flexible_algebra)

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