comaximal ideals
Let be a ring.
Two ideals and of are said to be comaximal if . If is unital (http://planetmath.org/Ring), this is equivalent to requiring that there be and such that .
For example, any two distinct maximal ideals of are comaximal.
A set of ideals of is said to be pairwise comaximal (or just comaximal) if for all distinct .
Title | comaximal ideals |
---|---|
Canonical name | ComaximalIdeals |
Date of creation | 2013-03-22 12:35:57 |
Last modified on | 2013-03-22 12:35:57 |
Owner | yark (2760) |
Last modified by | yark (2760) |
Numerical id | 8 |
Author | yark (2760) |
Entry type | Definition |
Classification | msc 16D25 |
Related topic | MaximalIdeal |
Defines | comaximal |