on Bi-Simple inverse w-Semigroup of Left Quotient
Edem E. David
Mathematics and Statistics, University of Port Harcourt, Rivers State, Nigeria.
We construct the congruence r on
Bisimple inverse w-semigroup
Q of left quotients S and show that congruence on S can be carried to its order
Q. We also show that there is group congruence on Q and H is a congruence on Q,
indeed its maximum congruence. This helps us to deduce some nice properties of
this congruence on Q.
AMS Classification No: 20H18
Key Words: Bi-Simple
Semigroup, Congruence, Left Orders, Greenís Relations.
eJournal of Mathematical Sciences, Technology and Humanities
Issue 2, Pages: 1045 - 1055