IC Abundant Semigroups Satisfying Left Regularity Condition
He Bing Hong Yong · Natural Science Journal of Xiangtan University · 2007
A finite semigroup is an IC abundant semigroup satisfying the left rgularity condition if and only if it is an orthodox superabundant semigroup whose idempotents form a left regular band.Unfortunately,there surely exists an infi-nite IC abundant semigroups satisfying the left rgularity condition which is not an orthodox superabundant semigroup.