commutative
Speech parts
1. commutative - Adjective
2. commutative - Adjective Satellite
Meaning
Relative to exchange; interchangeable; reciprocal.
Source: Webster's dictionarySynonyms
Antonyms
Show all antonymsPhrases with the word
Examples
a x b = b x a
A commutative simple ring is precisely a field.
A classic textbook covering standard commutative algebra.
A full transitive closure is not needed; a commutative transitive closure and even weaker forms suffice.
A least common multiple of a and b is a common multiple that is minimal in the sense that for any other common multiple n of a and b, m divides n. In general, two elements in a commutative ring can have no least common multiple or more than one.
An ideal P satisfying the commutative definition of prime is sometimes called a completely prime ideal to distinguish it from other merely prime ideals in the ring.