prime ideal
An algebra ideal is called prime if it satisfies the condition that if for elements , if then or
Note:
If is prime, then the quotient is a domain.
Search
An algebra ideal I⊂A is called prime if it satisfies the condition that if for elements a,b∈A, if ab∈I then a∈I or b∈I
If I is prime, then the quotient A/I is a domain.