Usually means: Operations do not commute generally.
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We found 5 dictionaries that define the word noncommutative:

General (4 matching dictionaries)
  1. noncommutative: Merriam-Webster
  2. noncommutative: Collins English Dictionary
  3. noncommutative: Wiktionary
  4. Noncommutative: Wikipedia, the Free Encyclopedia

Science (1 matching dictionary)
  1. noncommutative: PlanetMath Encyclopedia

Definitions from Wiktionary (noncommutative)

adjective:  (of an algebraic structure) Not having commutativity of all elements under its operation.

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