Article
| Title: | Unified-like product of monoids and its regularity property (English) |
| Author: | Kırmızı Çetinalp, Esra |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 74 |
| Issue: | 4 |
| Year: | 2024 |
| Pages: | 1113-1125 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | 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. (English) |
| Keyword: | unified product |
| Keyword: | Schützenberger product |
| Keyword: | regularity |
| MSC: | 16S15 |
| MSC: | 20D40 |
| MSC: | 20L05 |
| DOI: | 10.21136/CMJ.2024.0081-24 |
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| Date available: | 2024-12-15T06:37:05Z |
| Last updated: | 2024-12-16 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152692 |
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