division algebra

Noun

 * 1)  A linear algebra such that its non-zero vectors form a multiplicative group.
 * 2)  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.)
 * 1)  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.)
 * 1)  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.)
 * 1)  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.)