Let be a commutative ring with non-zero unity. If and are two fractional ideals (http://planetmath.org/FractionalIdealOfCommutativeRing) of with and if is invertible (http://planetmath.org/FractionalIdealOfCommutativeRing), then there is a of such that (one can choose ).
Definition. Let be a commutative ring with non-zero unity and let and be ideals of . The ring is a multiplication ring if always implies that there exists a of such that .
- 1 M. Larsen & P. McCarthy: Multiplicative theory of ideals. Academic Press. New York (1971).
|Date of creation||2013-03-22 14:27:02|
|Last modified on||2013-03-22 14:27:02|
|Last modified by||PrimeFan (13766)|