👉 In mathematics, an associative algebra over a field is a vector space that satisfies certain axioms related to multiplication. The terms "associativity" and "completeness" are often used interchangeably in this context. An associative algebra is defined by the following properties: 1. Commutativity: For all elements \(a\) and \(b\), \(ab = ba\). 2. Distributivity over addition (or subtraction): If \(a + b = c\) and \(a -
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