In abstract algebra, a division algebra is, roughly speaking, an algebra over a field in which division, except by zero, is always possible. The multiplication operation of a division algebra is not assumed to be necessarily either commutative or associative.
In abstract algebra, a division algebra is, roughly speaking, an algebra over a field in which division, except by zero, is always possible. The multiplication operation of a division algebra is not assumed to be necessarily either commutative or associative.
Source: Wikipedia "Division algebra" · CC BY-SA 4.0
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