We study the n-generalized Schützenberger-crossed product from the viewpoint of combinatorial group theory and introduce a new version of this product. For given monoids of this new product, we obtain a representation of the n-generalized Schützenberger-crossed product of arbitrary monoids. In addition, we give necessary and sufficient conditions for the regularity of this product.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 76, No. 2, pp. 276–288, February, 2024. Ukrainian DOI: https://doi.org/10.3842/umzh.v76i2.7535.
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Çetinalp, E.K. n-Generalized Schützenberger-Crossed Product of Monoids. Ukr Math J 76, 302–317 (2024). https://doi.org/10.1007/s11253-024-02321-y
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DOI: https://doi.org/10.1007/s11253-024-02321-y