Encyclopedia > Alternativity

Article Content

Alternative algebra

Redirected from Alternativity

In abstract algebra, an algebra (or more generally a magma) is called alternative if the subalgebra generated by any two of its elements is associative.

Every associative algebra is obviously alternative, but so too are some non-associative algebras such as the octonions. Alternativity is a condition in between associativity and power associativity.

All Wikipedia text is available under the terms of the GNU Free Documentation License

Search Encyclopedia

Search over one million articles, find something about almost anything!

Featured Article

Grateful Dead

... Great Pyramid of Giza in Egypt in 1978 - their final concert before the death of Jerry Garcia. Their numerous studio albums were generally collections of new songs that had ...