Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Pointed principally ordered regular semigroups

T.S. BlythG.A. Pinto — 2016

Discussiones Mathematicae General Algebra and Applications

An ordered semigroup S is said to be principally ordered if, for every x ∈ S there exists x* = max{y ∈ S | xyx ⩽ x}. Here we investigate those principally ordered regular semigroups that are pointed in the sense that the classes modulo Green's relations ℒ,ℛ,𝒟 have biggest elements which are idempotent. Such a semigroup is necessarily a semiband. In particular we describe the subalgebra of (S;*) generated by a pair of comparable idempotents that are 𝒟-related. We also prove that those 𝒟-classes...

Page 1

Download Results (CSV)