A left GC-lpp semigroup S is called split if the natural homomorphism γ^b of S onto S/γ induced by γ, is split. It is proved that a left GC-lpp semigroup is split if and only if it has a left adequate transversal. ...A left GC-lpp semigroup S is called split if the natural homomorphism γ^b of S onto S/γ induced by γ, is split. It is proved that a left GC-lpp semigroup is split if and only if it has a left adequate transversal. In particular, a construction theorem for split left GC-lpp semigroups is established.展开更多
基金Supported by the National Natural Science Foundation of China (Grant No. 10961014)the Natural Science Foundation of Jiangxi Provincethe Science Foundation of the Education Department of Jiangxi Province(Grant No. GJJ11388)
文摘A left GC-lpp semigroup S is called split if the natural homomorphism γ^b of S onto S/γ induced by γ, is split. It is proved that a left GC-lpp semigroup is split if and only if it has a left adequate transversal. In particular, a construction theorem for split left GC-lpp semigroups is established.
