Regularity of n-generalized Schützenberger product of monoids

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