A presentation and some finiteness conditions for a new version of the Schützenberger product of monoids

Authors

EYLEM GÜZEL KARPUZ
FIRAT ATEŞ
AHMET SİNAN ÇEVİK
İSMAİL NACİ CANGÜL

DOI

10.3906/mat-1502-73

Abstract

In this paper we first define a \textit{new version} of the Sch\"{u}tzenberger product for any two monoids $A$ and $B$, and then, by defining a generating and relator set, we present some finite and infinite consequences of the main result. In the final part of this paper, we give necessary and sufficient conditions for this new version to be periodic and locally finite.

Keywords

Presentation, Sch\"{u}tzenberger and wreath products, periodicity, local finiteness

First Page

224

Last Page

233

Recommended Citation

KARPUZ, EYLEM GÜZEL; ATEŞ, FIRAT; ÇEVİK, AHMET SİNAN; and CANGÜL, İSMAİL NACİ (2016) "A presentation and some finiteness conditions for a new version of the Schützenberger product of monoids," Turkish Journal of Mathematics: Vol. 40: No. 1, Article 20. https://doi.org/10.3906/mat-1502-73
Available at: https://journals.tubitak.gov.tr/math/vol40/iss1/20