Ideal quotient：Ideals 和Quotient Rings

Ideals 和Quotient Rings

Ideals和QuotientRings....ideal.我們回憶一下,normalsubgroup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quotientgroup.也就是說 ...。其他文章還包含有：「8.3」、「Howisthequotientoftwoidealsdefined?」、「Idealquotient」、「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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Ideal quotient

https://en.wikipedia.org

The ideal quotient is useful for calculating primary decompositions. It also arises in the description of the set difference in algebraic geometry.

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Integral Domain, Ideal

https://allenlu2007.wordpress.

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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