Encyclopedia > Alternative algebra

Article Content

Alternative algebra

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

Digital Rights Management

... by the DVD Consortium in this way, they were able to impose whatever restrictions they chose on the playback of such movies. See also DIVX for a more draconian and less ...