The Structure and Congruence Lattice of the Munn Semigroup for a 0-direct Union of ω-chains
Bingjun Yu · Journal of Sichuan Normal University · 2010
In this paper, the structure of the Munn semigroup T(subscript E) for a 0-direct union E of ω-chains {E(subscript i)|i(subscript ∈)I} is given, the congruence lattice C(T(subscript E)) is described. It is proved that all nontrivial and nonuniversal congruences are all 0-bisimple congruences and they form a lattice under inclusion anti-isomorphic to that of all positive integral numbers under division.