Usually means: Algebra with division for non-zero elements.
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We found 7 dictionaries that define the word division algebra:

General (4 matching dictionaries)
  1. division algebra: Wiktionary
  2. division algebra: Infoplease Dictionary
  3. division algebra: Dictionary.com
  4. Division algebra: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. division algebra: Encyclopedia

Science (2 matching dictionaries)
  1. Division Algebra: Eric Weisstein's World of Mathematics
  2. division algebra, division algebra: PlanetMath Encyclopedia

Definitions from Wiktionary (division algebra)

noun:  (algebra) A linear algebra such that its non-zero vectors form a multiplicative group.
noun:  (algebra) 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.)

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