The $n$-Generalized Schützenberger-crossed product of monoids

Esra Kırmızı Çetinalp

doi:10.3842/umzh.v76i2.7535

Esra Kırmızı Çetinalp Department of Mathematics, Kamil Özdağ Science Faculty, Karamanoğlu Mehmetbey University, Turkey

DOI: https://doi.org/10.3842/umzh.v76i2.7535

Keywords: Schützenberger product, crossed product, regularity

Abstract

UDC 512.5

We study the $n$-generalized Schützenberger-crossed product from the viewpoint of combinatorial group theory and define 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.

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