GENERALIZED QUASI HAMILTONIAN SEMIGROUPS
K. P. Shum, Liang Zhang · 2009
Super Hamiltonian semigroups were considered by K.P. Shum and X.M. Ren in 2004. In their previous paper, it was proved that a semigroup is a super Hamiltonian if and only if it is expressible as a strong semilattice of quasi-groups. However, the above result does not hold in general. In this paper, we consider the quasi periodic groups and accordingly, we give a char- acterization theorem for the generalized quasi Hamiltonian semigroups. Some subclasses of generalized quasi Hamiltonian semigroups are discussed and some results obtained by Cherubini and Varisco on quasi Hamiltonian semigroups are extended.