ω-Extension of Bicyclic Semigroup
Zhan Dong Liang · Shuxue jikan · 2009
In this paper,we discussed ω-extension of bicyclic semigroups.Two types of this extension are proposed.In §2 we discussed strong semilattice extension and the structure of the extension is well presented.In §3 we discussed another order extension.We proved that congruence lattice of this extension semigroups is union set of two sublattice.One is the group congruence semilattice,the other is the pure idempotent congruence semilattice.