A structure theorem of left regular cyber-groups
Y Yuan, Xueming Ren, K. P. Shum · Hacettepe Journal of Mathematics and Statistics · 2017
An abundant semigroup S is a superabundant semigroup if each H *class of S contains an idempotent.We call a superabundant semigroup a left regular cyber-group if the set of its idempotents forms a left regular band.After the investigation of the properties of superabundant semigroups, we establish a structure theorem for the left regular cybergroups by using the newly defined left twist product of semigroups.