completely simple semigroup
A semigroup (without zero) is completely if it is simple and contains a primitive idempotent.
A semigroup is completely -simple if it is -simple (http://planetmath.org/SimpleSemigroup) and contains a primitive idempotent.
A simple semigroup (without zero) is completely simple if and only if it is completely regular.
A -simple semigroup is completely -simple if and only if it is group-bound.
- Ho95 Howie, John M. Fundamentals of Semigroup Theory. Oxford University Press, 1995.
|Title||completely simple semigroup|
|Date of creation||2013-03-22 14:35:24|
|Last modified on||2013-03-22 14:35:24|
|Last modified by||mathcam (2727)|