Some semilattice decompositions of dimonoids

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

A Note on Semilattice Decompositions of Completely Π-regular Semigroups

We study completely π-regular semigroups admitting a decomposition into a semilattice of σn-simple semigroups, and describe them in terms of properties of their idempotents. In the general case, semigroups admitting a decomposition into a semilattice of σn-simple semigroups were characterized by M. Ćirić and S. Bogdanović in [3] (see Theorem 1 below), in terms of paths of length n in the graph ...

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...

Some edge-colored cube decompositions

Cp-decompositions of some regular graphs

In this paper, for any prime p 11, we consider Cp-decompositions of Km × Kn and Km ∗ Kn and also Cp-factorizations of Km × Kn, where × and ∗ denote the tensor product and wreath product of graphs, respectively, (Km ∗ Kn is isomorphic to the complete m-partite graph in which each partite set has exactly n vertices). It has been proved that for m, n 3, Cp-decomposes Km ×Kn if and only if (1) eith...