Ideal quotient：Ideal quotient

Ideal quotient

Theidealquotientisusefulforcalculatingprimarydecompositions.Italsoarisesinthedescriptionofthesetdifferenceinalgebraicgeometry.。其他文章還包含有：「8.3」、「Howisthequotientoftwoidealsdefined?」、「Ideals和QuotientRings」、「IntegralDomain,Ideal」、「Lesson28–QuotientIdeals」、「中級Ring的性質」、「代數導論二」

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8.3

https://math.libretexts.org

The quotient R/I of the ring R by a subgroup I has a natural ring structure if and only if I is closed under multiplication on the left and right by elements ...

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How is the quotient of two ideals defined?

https://math.stackexchange.com

The image of J under this homomorphism is an ideal of A/I and it is quite naturally denoted J/I, because it consists of all elements of the form x+I, with x∈J.

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Ideals 和Quotient Rings

https://math.ntnu.edu.tw

Ideals 和Quotient Rings. ... ideal. 我們回憶一下, normal subgroup 之所以比一般的subgroup 好用在於可以利用它得到一個新的group 稱之為quotient group. 也就是說 ...

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Integral Domain, Ideal

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就是Ring quotient principal ideal 會造出一個quotient field. 可以証明所有的finite field 都是p or p^n elements. isomorphism to GF℗ or GF(P^ ...

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Lesson 28 – Quotient Ideals

https://pi.math.cornell.edu

The ideal-theoretic analogue of is an ideal known as the quotient ideal. Definition If and are ideals in. , then the quotient ideal or colon ideal is the ideal ...

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