What does alternative algebra mean?
Definitions for alternative algebra
al·ter·na·tive al·ge·bra
This dictionary definitions page includes all the possible meanings, example usage and translations of the word alternative algebra.
Wiktionary
alternative algebranoun
An algebra such that every subalgebra generated by two elements is associative.
Wikipedia
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.
Wikidata
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 ⁕ ⁕ for all x and y in the algebra. Every associative algebra is obviously alternative, but so too are some strictly nonassociative algebras such as the octonions. The sedenions, on the other hand, are not alternative.
Numerology
Chaldean Numerology
The numerical value of alternative algebra in Chaldean Numerology is: 9
Pythagorean Numerology
The numerical value of alternative algebra in Pythagorean Numerology is: 2
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"alternative algebra." Definitions.net. STANDS4 LLC, 2024. Web. 30 Apr. 2024. <https://www.definitions.net/definition/alternative+algebra>.
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