Maximal ideal
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「Maximal ideal」文章包含有：「Maximalideal」、「代數導論二Week2(Part1)」、「MaximalIdeal」、「最大理想MaximalIdeal」、「3.Primeandmaximalideals3.1.DefinitionsandExamples...」、「Section27」、「8.4」、「abstractalgebra」
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Maximal ideal
https://en.wikipedia.org
In mathematics, more specifically in ring theory, a maximal ideal is an ideal that is maximal amongst all proper ideals. In other words, I is a maximal ...
代數導論二Week 2 (Part 1)
https://hackmd.io
代數導論二Week 2 (Part 1) - Maximal Ideal · 定義：Maximal Ideal. 例子：Z/pZ · 敘述：每個Proper Ideal 都可以找到包住他的Maximal Ideal. 定理：Zorn's Lemma · 敘述 ...
Maximal Ideal
https://mathworld.wolfram.com
A maximal ideal of a ring R is an ideal I, not equal to R, such that there are no ideals in between I and R. In other words, if J is an ideal which ...
最大理想Maximal Ideal
https://academic-accelerator.c
在數學中，更具體地說在環論中，最大理想是所有合適的理想中最大的理想（相對於集合包含）。換句話說，如果I 和R 之間沒有其他理想，則I 是環R 的最大理想。
3. Prime and maximal ideals 3.1. Definitions and Examples ...
https://www.dpmms.cam.ac.uk
An ideal m in a ring A is called maximal if m = A and the only ideal strictly containing m is A. Exercise. (1) An ideal P in A is prime if and only if A/P is an ...
Section 27
https://jupiter.math.nycu.edu.
Every maximal ideal in a commutative ring with unity is a prime ideal. Example. The trivial ideal 0} of Z is a prime ideal, but not a maximal ideal. Page 12 ...
8.4
https://math.libretexts.org
In this section of notes, we will study two important classes of ideals, namely maximal and prime ideals, and study the relationship between ...
abstract algebra
https://math.stackexchange.com
An ideal I is called maximal if it is proper and there are no other ideals other than the ring itself that properly contain I. In other words, ...