primal ideal

In mathematics, an element a of a commutative ring R is called (relatively) prime to an ideal I if whenever ab is an element of I then b is also an element of I.

A proper ideal I of a commutative ring A is said to be primal if the elements that are not prime to it form an ideal.

References

  • {{citation

| last = Fuchs | first = Ladislas

| doi = 10.2307/2032421

| journal = Proceedings of the American Mathematical Society

| mr = 0032584

| pages = 1–6

| title = On primal ideals

| volume = 1

| year = 1950| doi-access = free

}}.

Category:Commutative algebra

{{commutative-algebra-stub}}