Unified-like product of monoids and its regularity property

Kırmızı Çetinalp, Esra

Czechoslovak Mathematical Journal, Tome 74 (2024) no. 4, pp. 1113-1125

Abstract (VO)

We first define a new monoid construction (called unified-like product $O\mathbin {\Diamond _{\Omega }}J$) under a unified product $O\bowtie J$ and the Schützenberger product $O\mathbin {\Diamond } J$. We investigate whether this algebraic construction defined with operations of the unified and Schützenberger product specifies a monoid or not. Then, we obtain a presentation of this new product for any two monoids. Finally, we define the necessary and sufficient conditions for $O\mathbin {\Diamond _{\Omega }}J$ to be regular.

Détail

DOI : 10.21136/CMJ.2024.0081-24

Classification : 16S15, 20D40, 20L05
Keywords: unified product; Schützenberger product; regularity

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