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

Ocean Beach, New York

... Males have a median income of $41,719 versus $28,750 for females. The per capita income for the village is $28,782. 11.5% of the population and 15.2% of families are below ...