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In abstract algebra, an alternative algebra is an algebra in which multiplication need not be associative, only alternative. That is, one must have
Properties, The associator & Examples
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alternative algebra associative displaystyle associator algebras alternating xy theorem ring every two yx non-associative field subalgebra octonions whenever identities equivalent
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Alternative algebra | is a | algebra in which multiplication need not be associative | 0.90 | text |
| the octonions | instance of | so too are some strictly non-associative algebras | 0.80 | text |
| Alternative algebra | related to Examples | Every | 0.60 | section |
| Alternative algebra | related to Examples | The | 0.60 | section |
| Alternative algebra | related to Examples | More | 0.60 | section |
| Alternative algebra | related to Occurrence | The | 0.60 | section |
| Alternative algebra | related to Occurrence | Moufang | 0.60 | section |
| Alternative algebra | related to Occurrence | Every | 0.60 | section |
| Alternative algebra | related to Properties | Artin's | 0.60 | section |
| Alternative algebra | related to Properties | Conversely | 0.60 | section |
| Alternative algebra | related to Properties | It | 0.60 | section |
| Alternative algebra | related to Properties | The | 0.60 | section |
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