Maximal orders in semigroups1
John Fountain, Victoria A. R. Gould, Paula Smith · Communications in Algebra · 1999
Inspired by the ring theory concepts of orders and classical rings of quotients, Fountain and Petrich introduced the notion of a completely 0-simple semigroup of quotients in [19]. This was generalised to a much wider class of semigroups by Gould in [20]. The notion extends the well known concept of group of