On generalized abundant semigroups
Tian T. Li · Journal of the University of Shanghai for Science and Technology · 2011
New Green's*-relations L*G and R*G were introduced on a semigroup S.Though they are different from the old Green's*-relations L* and R*,yet are related to each other by Green's relation on some over semigroups and it holds that L*■LG* and R*■RG*.Another class of semigroups,the G-abundant(or adequate) semigroups and their G-adequate transversals were defined and the properties and structures of G-abundant semigroups with some G-adequate transversals were discussed.