A principal left ideal of is a left ideal generated by a single element. If , then the principal left ideal of generated by is . (The notation is explained here (http://planetmath.org/AdjoiningAnIdentityToASemigroup3).)
Similarly, the principal right ideal generated by is .
The notation and are also common for the principal left and right ideals generated by respectively.
A principal ideal of is an ideal generated by a single element. The ideal generated by is
The notation is also common.
|Date of creation||2013-03-22 13:05:43|
|Last modified on||2013-03-22 13:05:43|
|Last modified by||mclase (549)|
|Defines||principal left ideal|
|Defines||principal right ideal|