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Keyword: Schützenberger Product (2)	27 Mar 2025	Run
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articleNo Access
Complete rewriting system for the Schützenberger product of $n$ $n$ groups
Asian-European Journal of Mathematics01 Feb 2019
Preview Abstract
In this paper, we obtain a complete rewriting system for monoid presentation of Schützenberger product of $n$ $n$ groups, which is firstly defined in [G. M. S. Gomes, H. Sezinando and J. E. Pin, Presentations of the Schützenberger product of $n$ $n$ groups, Comm. Algebra34(4) (2006) 1213–1235]. It gives an algorithm for getting normal form of elements and hence solving the word problem in this group.
articleNo Access
A generalization of bicrossed product of monoids
- Esra Kırmızı Çetinalp
Asian-European Journal of Mathematics30 Aug 2023
Preview Abstract
In this paper, we define $n$ $n$ -generalized Schützenberger-bicrossed product from the point of Combinatorial Group Theory. We give to be a monoid of this new product, then we obtain a presentation for $n$ $n$ -generalized Schützenberger-bicrossed product of arbitrary monoids. Additionally, we give the necessary and sufficient conditions for the regularity of this product.