Ignacio Cirac, David Deutsch, Peter Shor and Peter Zoller
共同構造的幸福2023-10-02 22:12:58
神人
共同構造的幸福2023-10-03 15:00:59
All irreducible are prime in UFD
Let ab = kp
In the case of k is not 0, in the case of k is 0 is obvious as UFD are ID
Factorise k
Since ab is referring to same element as kp, they must have same(unique) factorisation as well(by definition of UFD), therefore p must exist in ab and the problem left is position of p, so it is either one of them is multiple of p, it satisfies the definition of prime ideal
If we take in our hand any volume; of mathematic or physical science, for instance; let us ask, Does it contain any Buddhism, Taoism and Oriental mythology? No. Does it contain story of alien, new age and Scientology? No. Commit it then to the flames: for it can contain nothing but sophistry and illusion