Source: wikibot/division-algebra

= Division algebra
{wiki=Division_algebra}

Division algebra is a type of algebraic structure where division is possible, except by zero. More formally, a division algebra is a vector space over a field \\( F \\) equipped with a bilinear multiplication operation that satisfies the following conditions: 1. **Non-Associativity or Associativity**: In a general division algebra, multiplication can be either associative or non-associative. If it is associative, the algebra is called an associative division algebra.