bn:02010813n
Noun Concept
Categories: Ring theory, Articles with short description, Algebras
EN
division algebra  associative division algebra  division algebras  Noncommutative division algebra
EN
In the field of mathematics called abstract algebra, a division algebra is, roughly speaking, an algebra over a field in which division, except by zero, is always possible. Wikipedia
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EN
In the field of mathematics called abstract algebra, a division algebra is, roughly speaking, an algebra over a field in which division, except by zero, is always possible. Wikipedia
An algebra over a field such that every non-zero element of it has a multiplicative inverse. (It is not required to have a unity element.). Wiktionary