Monoidlerin Schützenberger – Çapraz Çarpımının Tam Yeniden Yazma Sistemi

Yıl 2024, Cilt: 6 Sayı: 2, 33 - 40, 15.12.2024

Eylem Guzel Karpuz , Fatmanur Yıldız

https://doi.org/10.55213/kmujens.1564195

Öz

Bu makalede, (Emin ve ark. 2013) de tanımlanan iki devirli monoidin Schützenberger – çapraz çarpımının tam yeniden yazma sistemi çalışılmıştır. Ayrıca bu monoid yapısının elemanlarının normal form yapısı elde edilmiştir ve kelime probleminin çözülebilirliği verilmiştir. Son olarak, bir örnek bölüm sunulmuştur.

Anahtar Kelimeler

Schützenberger çarpım, çapraz çarpım, yeniden yazma sistemi, normal form

Complete Rewriting System of Schützenberger – Crossed Product of Monoids

Öz

In this paper, we study on complete rewriting system for the Schützenberger - crossed product of two cyclic monoids, which is defined in (Emin et al. 2013). Additionally, we obtain normal form structure of elements of this monoid construction and give solvability of the word problem. Finally, we present an example part.

Anahtar Kelimeler

Schützenberger product, crossed product, rewriting system, normal form

Kaynakça

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