mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...

, an element ''a'' of a

commutative ring In mathematics, a commutative ring is a Ring (mathematics), ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra. Complementarily, noncommutative algebra is the study of ring prope ...

''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

''A'' is said to be primal if the elements that are not prime to it form an ideal.

References

*. Commutative algebra {{commutative-algebra-stub