Alternative algebra

In abstract algebra, an alternative algebra is an algebra in which multiplication need not be associative, only alternative. That is, one must have x ( x y ) = ( x x ) y {\displaystyle x(xy)=(xx)y} ( y x ) x = y ( x x ) {\displaystyle (yx)x=y(xx)} for all x and y in the algebra. Every associative algebra is obviously alternative, but so too are some strictly non-associative algebras such as the octonions.

Words

This table shows the example usage of word lists for keywords extraction from the text above.

WordWord FrequencyNumber of ArticlesRelevance
x11298920.709
algebra631740.553
y7249810.467
alternative5306460.321

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