A note about planar completely regular continua with structure

A Note concerning Completely Regular Gyspaces1

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 ...

A Note about Shellable Planar Posets

We will show that shellability, Cohen-Macaulayness and vertexde composability of a graded, planar poset P are all equivalent with the fact that P has the maximal possible number of edges. Also, for a such poset we will find an R−labelling with {1, 2} as the set of labels. Using this, we will obtain all essential linear inequalities for the flag h−vectors of shellable planar posets from [1]. AMS...

The Structure of Completely Regular Semigroups 213

The principal result is a construction of completely regular semigroups in terms of semilattices of Rees matrix semigroups and their translational hulls. The main body of the paper is occupied by considerations of various special cases based on the behavior of either Green's relations or idempotents. The influence of these special cases on the construction in question is studied in considerable...

A note on binary completely regular codes with large minimum distance

We classify all binary error correcting completely regular codes of length n with minimum distance δ > n/2.