Definitions

from The American Heritage® Dictionary of the English Language, 5th Edition.

  • adjective Relating to, involving, or characterized by substitution, interchange, or exchange.
  • adjective Independent of order. Used of a logical or mathematical operation that combines objects or sets of objects two at a time. If a × b = b × a, the operation indicated by × is commutative.

from The Century Dictionary.

  • Relating to exchange; interchangeable; mutual: as, commutative justice (that is, justice which is mutually done and received).

from the GNU version of the Collaborative International Dictionary of English.

  • adjective Relative to exchange; interchangeable; reciprocal.
  • adjective (Math.) having the property of commutativity.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • adjective mathematics Such that the order in which the operands are taken does not affect their image under the operation.
  • adjective algebra Having a commutative operation.
  • adjective mathematics Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

  • adjective (of a binary operation) independent of order; as in e.g.

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