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commutative ring - translation to russian
ALGEBRAIC STRUCTURE
Commutative rings; Cring
![The [[universal property]] of ''S'' ⊗<sub>''R''</sub> ''T''
states that for any two maps ''S'' → ''W'' and ''T'' → ''W'' which make the outer quadrangle commute, there is a unique map ''S'' ⊗<sub>''R''</sub> ''T'' → ''W'' which makes the entire diagram commute.](https://commons.wikimedia.org/wiki/Special:FilePath/Tensor product of algebras.png?width=200 "The [[universal property]] of ''S'' ⊗<sub>''R''</sub> ''T''
states that for any two maps ''S'' → ''W'' and ''T'' → ''W'' which make the outer quadrangle commute, there is a unique map ''S'' ⊗<sub>''R''</sub> ''T'' → ''W'' which makes the entire diagram commute.")
commutative ring
математика
коммутативное кольцо
commutative ring
коммутативное кольцо
commutative law of multiplication
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PROPERTY OF BINARY OPERATIONS, FOR WHICH CHANGING THE ORDER OF THE OPERANDS DOES NOT CHANGE THE RESULT
Commutative; Commutative law; Noncommutative; Non-commutative; Comutative; Commutative operation; Communative; The Commutative Property; Non-commutativity; Noncommutativity; Commutation (mathematics); Commmutavity; Commutavity; Commutative mathematics; Commutative law of multiplication; Commute (mathematics); Commutativity; Noncommuting; Non-commuting; Commutitivity; Commutivity; Commutate
коммутативный закон умножения
Definition
commutative
[k?'mju:t?t?v, 'k?mj??t?t?v]
¦ adjective Mathematics involving the condition that a group of quantities connected by operators gives the same result whatever the order of the quantities involved, e.g. a . b = b . a.
Wikipedia
Commutative ring
In mathematics, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra. Complementarily, noncommutative algebra is the study of ring properties that are not specific to commutative rings. This distinction results from the high number of fundamental properties of commutative rings that do not extend to noncommutative rings.
