Monoidlerin n-genelleştirilmiş Schützenberger çarpımının regülerliği
Bu çalışmada, monoidlerin nn-genelleştirilmiş Schützenberger çarpımın regülerliği Grup Teori açısından incelenmiştir. Burada, bütün $A_{i}\text{ }\left( 1\leqslant i\leqslant n\right)$’ler monoid iken $A_{1}\Diamond A_{2}\Diamond \cdots \Diamond A_{n}$ nn-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.
Regularity of n-generalized Schützenberger product of monoids
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.
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