Principal ideal：Abstract Algebra
Abstract Algebra
Principal ideal
https://en.wikipedia.org
In mathematics, specifically ring theory, a principal ideal is an ideal I -displaystyle I} I in a ring R -displaystyle R} R that is generated by a single ...
Principal Ideal
https://mathworld.wolfram.com
An ideal I of a ring R is called principal if there is an element a of R such that I=aR=ar:r in R}. In other words, the ideal is generated by the element a ...
代數導論二Week 3 (Part 4)
https://hackmd.io
定義：Principal Ideal Domain. Suppose R R is an integral domain. If every ideal in R R is a principal ideal, them R R is said to be a Princpal Ideal Domain.
Principal ideal domain
https://en.wikipedia.org
In mathematics, a principal ideal domain, or PID, is an integral domain in which every ideal is principal, i.e., can be generated by a single element.
Principal ideal ring
https://en.wikipedia.org
In mathematics, a principal right (left) ideal ring is a ring R in which every right (left) ideal is of the form xR (Rx) for some element x of R. (The right ...
主要理想Principal Ideal
https://academic-accelerator.c
所有理想均為主理想的環稱為主理想環或主理想環。主理想域(PID) 是所有理想占主導地位的積分域。每個PID 都是一個唯一的分解域。整數唯一分解的通常證明（所謂的算術基本 ...
Principal ideal theorem
https://en.wikipedia.org
In mathematics, the principal ideal theorem of class field theory, a branch of algebraic number theory, says that extending ideals gives a mapping on the ...
Principle Ideal Domain
https://math.ntnu.edu.tw
Proposition 8.3.1 假設R 是一個principle ideal domain. 對任意a, b $ -in$ R 且a, b $ -ne$ 0 其greatest common divisor 存在. 而且, 若d 是a, b 的一個greatest ...