Some Finiteness Conditions for Strong Semilattice of Semigroups

Semilattice ordered inverse semigroups

As Jonathan Leech has pointed out, many natural examples of inverse semigroups are semilattice ordered under the natural partial order. But there are many interesting examples of semilattice ordered inverse semigroups in which the imposed partial order is not the natural one. In this talk we shall explore the structure and properties of these examples and some other questions related to semilat...

Semilattice of Bisimple Regular Semigroups

The main purpose of this paper is to show that a regular semigroup S is a semilattice of bisimple semigroups if and only if it is a band of bisimple semigroups and that this holds if and only if 3) is a congruence on S. It is also shown that a quasiregular semigroup 5 which is a rectangular band of bisimple semigroups is itself bisimple. In [3, Theorem 4.4] it was shown that a semigroup S is a ...

On Finite Generation and Other Finiteness Conditions for Wreath Products of Semigroups

On some semilattice structures for production technologies

Tracing back from Charnes, Cooper and Rhodes [9] many approaches have been proposed to extend the DEA production model to non-convex technologies. The FDH method were introduced by Deprins, Simar and Tulkens [13] and it only assumes a free disposal assumption of the technology. This paper, continues further an earlier work by Briec and Horvath [7]. Among other things, a new class of semilattice...

Quasi-orders and Semilattice Decompositions of Semigroups (A Survey)