On the extension of partial orders on semigroups of right quotients.
Hanns Joachim Weinert · Transactions of the American Mathematical Society · 1969
Let S be a semigroup and let F= Q(S, S) be a semigroup of quotients of S with a subsemigroup S of denominators contained in the centre of 5.It was shown by Puttaswamaiah [9] that the condition and [5].