Commutative ring:Commutative Rings and Fields
Commutative Rings and Fields
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Commutative ring
https://resources.saylor.org
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交換環
https://zh.wikipedia.org
在抽象代數之分支環論中,一個交換環(commutative ring)是乘法運算滿足交換律的環。對交換環的研究稱為交換代數學。 某些特定的交換環在下列類包含鏈中:.
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說明
https://zh.wikipedia.org
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Commutative ring
https://www.britannica.com
A commutative ring is a ring in which multiplication is commutative—that is, in which ab = ba for any a, b. Read More. structural axioms. algebraic equation. In ...
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Ring (mathematics)
https://en.wikipedia.org
The simplest commutative rings are those that admit division by non-zero elements; such rings are called fields. Examples of commutative rings include the set ...
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Commutative algebra
https://en.wikipedia.org
Commutative algebra is essentially the study of the rings occurring in algebraic number theory and algebraic geometry. In algebraic number theory, the rings of ...
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Graded
https://en.wikipedia.org
In algebra, a graded-commutative ring is a graded ring that is commutative in the graded sense; that is, homogeneous elements x, y satisfy.
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Category of rings
https://en.wikipedia.org
The natural ring homomorphism from any commutative ring R to any one of its localizations is an epimorphism which is not necessarily surjective.
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Ring theory
https://en.wikipedia.org
In algebra, ring theory is the study of rings—algebraic structures in which addition and ... Commutative rings are much better understood than noncommutative ones.