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

Authors : Eylem Güzel KARPUZ, Firat ATEŞ, Ahmet Sinan ÇEVİK, İsmail Naci CANGÜL

Pages : 224-233

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Publication Date : 0000-00-00

Article Type : Research Paper

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