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

GÜZEL KARPUZ E., ATEŞ F., ÇEVİK A. S., CANGÜL İ. N.

TURKISH JOURNAL OF MATHEMATICS, vol.40, no.1, pp.224-233, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.3906/mat-1502-73
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.224-233
  • Keywords: Presentation, Schutzenberger and wreath products, periodicity, local finiteness, WREATH-PRODUCTS, GENERATION
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper we first define a new version of the Schutzenberger 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.