Regularity of n-generalized Schützenberger product of monoids

Yıl 2022, Cilt: 24 Sayı: 1, 71 - 78, 05.01.2022

Esra Kırmızı Çetinalp

https://doi.org/10.25092/baunfbed.903026

Cited By: 2

Öz

In this work, regularity of $n$-generalized Schützenberger product of monoids from the point of Group Theory is studied. Here, it is determined necessary and sufficient conditions of the $n$-generalized Schützenberger product $A_{1}\Diamond A_{2}\Diamond \cdots \Diamond A_{n}$ to be regular while all $A_{i}\text{ }\left( 1\leqslant i\leqslant n\right)$ are monoids. Also, by considering all $A_{i}\text{ }\left( 1\leqslant i\leqslant n\right)$ to be groups, it is given another result for the regularity of this product.

Anahtar Kelimeler

Schützenberger product, monoid, regularity

Monoidlerin n-genelleştirilmiş Schützenberger çarpımının regülerliği

Öz

Bu çalışmada, monoidlerin $n$-genelleştirilmiş Schützenberger çarpımın regülerliği Grup Teori açısından incelenmiştir. Burada, bütün $A_{i}\text{ }\left( 1\leqslant i\leqslant n\right)$’ler monoid iken $A_{1}\Diamond A_{2}\Diamond \cdots \Diamond A_{n}$ $n$-genelleştirilmiş Schützenberger çarpımın regüler olabilmesi için gerekli ve yeterli koşul elde edilmiştir. Ayrıca, bütün $A_{i}\text{ }\left( 1\leqslant i\leqslant n\right)$’leri grup düşünerek bu çarpımın regülerliği için bir diğer sonuç verilmiştir.

Anahtar Kelimeler

Schützenberger çarpım, monoid, regülerlik.

Kaynakça

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