The Rightω-coset Representation on a Closed~*-subsemigroup of a Type A Semigroup
Qian Guo · Journal of Sichuan Normal University · 2009
In this paper,by generalizing the concept of transitivity to that of weak transitivity and using the natural partial order and the idempotent-connection,we show that representations of a type A semigroup on the rightω-cosets of its closed *-subsemigroups are effective and weakly transitive.