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commutative

   Also found in: Legal, Encyclopedia, Wikipedia 0.01 sec.
com·mu·ta·tive  (kmy-ttv, k-myt-tv)
adj.
1. Relating to, involving, or characterized by substitution, interchange, or exchange.
2. 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.

com·muta·tivi·ty (k-myt-tv-t) n.

commutative [kəˈmjuːtətɪv ˈkɒmjʊˌteɪtɪv]
adj
1. relating to or involving substitution
2. (Mathematics) (Philosophy / Logic) Maths Logic
a.  (of an operator) giving the same result irrespective of the order of the arguments; thus disjunction and addition are commutative but implication and subtraction are not
b.  relating to this property the commutative law of addition
commutatively  adv

commutative  (k-myt-tv, kmy-ttv)
Of or relating to binary operations for which changing the order of the inputs does not change the result of the operation. For example, addition is commutative, since a + b = b + a for any two numbers a and b, while subtraction is not commutative, since a - b a - b unless both a and b are zero. See also associativedistributive
ThesaurusLegend:  Synonyms Related Words Antonyms
Adj.1.commutative - (of a binary operation) independent of order; as in e.g. "a x b = b x a"
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
independent - free from external control and constraint; "an independent mind"; "a series of independent judgments"; "fiercely independent individualism"
Translations
commutative [kəˈmjuːtətɪv] adjcommutativo/a


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00 Hardcover TL521 The 64 papers in this collection explore field theory and polynomials, commutative rings and algebras, matrix theory, associative rings, K-theory, group theory and generalizations, topological groups, Lie groups, and differential geometry.
However, unlike in a commutative case, this construction does not work for every non-commutative integral domain.
Introduction This paper deals with the constructions of commutative hyperstructures from non-commutative ones.
 
 
 
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