Geodesic
Orders in power semigroups
Glasgow mathematical journal, Tome 38 (1996) no. 1, pp. 39-47

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we consider examples of orders in restricted power semigroups, where for any semigroup Sthe restricted power semigroup is given by with multiplication XY = {xy:x ∈ X, y ∈ Y} for all X, Y ∈ . We use the notion of order introduced by Fountain and Petrich in [2] which first appears in the form used here in [3]. If S is a subsemigroup of Q then S is an order in Q and Q is a semigroup of quotients of S if any q ∈ Q can be written as q = a*b = cd* where a, b, c, d ∈ S is the inverse of a(d) in a subgroup of Q, and in addition, all elements of S satisfying a weak cancellability condition called square-cancellability lie in a subgroup of Q. 
Easdown, David; Gould, Victoria. Orders in power semigroups. Glasgow mathematical journal, Tome 38 (1996) no. 1, pp. 39-47. doi: 10.1017/S0017089500031232
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