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, cilt.40, sa.1, ss.224-233, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3906/mat-1502-73
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.224-233
  • Anahtar Kelimeler: Presentation, Schutzenberger and wreath products, periodicity, local finiteness, WREATH-PRODUCTS, GENERATION
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.