On some semigroups of the partial transformation semigroup
Ivan Trendafilov, Dimitrinka Vladeva · AIP conference proceedings · 2012
Finite semigroups arise as syntactic semigroups of regular languages and as transition semigroups of finite automata. Among the most important and intensively studied classes of finite semigroups are the partial transformation semigroup and the semigroup of all order-preserving partial transformations. The purpose of this paper is to study a new semigroup of strongly orderpreserving partial transformations in the view of semiring theory.