A right modular ideal is defined similarly, with be a left identity modulo .
Remark. If an ideal is modular both as a left ideal as well as a right ideal in , then is a unital ring. Furthermore, every (left, right, two-sided) ideal in a unital ring is modular, implying that the notion of modular ideals is only interesting in rings without .
- 1 P. M. Cohn, Further Algebra and Applications, Springer (2003).
|Date of creation||2013-03-22 17:31:47|
|Last modified on||2013-03-22 17:31:47|
|Last modified by||CWoo (3771)|