The $n$-Generalized Schützenberger-crossed product of monoids
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&...
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| Datum: | 2024 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2024
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512688092741632 |
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| author | Çetinalp, Esra Kırmızı Çetinalp, Esra Kırmızı |
| author_facet | Çetinalp, Esra Kırmızı Çetinalp, Esra Kırmızı |
| author_sort | Çetinalp, Esra Kırmızı |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-06-19T00:35:13Z |
| description | 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. |
| doi_str_mv | 10.3842/umzh.v76i2.7535 |
| first_indexed | 2026-03-24T03:32:45Z |
| format | Article |
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Ukrainian Mathematical Journal
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n-Generalized Schützenberger-Crossed Product of Monoids
Published: 15 August 2024
Volume 76, pages 302–317, (2024)
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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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Department of Mathematics, Kamil Özdağ Science Faculty, Karamanoğlu Mehmetbey University, Karaman, Turkey
Esra Kırmızı Çetinalp
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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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Received: 15 March 2023
Published: 15 August 2024
Version of record: 15 August 2024
Issue date: July 2024
DOI: https://doi.org/10.1007/s11253-024-02321-y
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| spelling | umjimathkievua-article-75352024-06-19T00:35:13Z The $n$-Generalized Schützenberger-crossed product of monoids $n$-Generalized Schützenberger-crossed product of monoids Çetinalp, Esra Kırmızı Çetinalp, Esra Kırmızı Schützenberger product, crossed product, regularity Group Theory 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. УДК 512.5 $n$-Узагальнений перехресний шутценбергерівський добуток моноїдів  Mи вивчаємо $n$-узагальнений перехресний шутценбергерівський добуток з точки зору теорії комбінаторних груп та вводимо нову версію цього добутку. Для заданих моноїдів  цього нового добутку отримано зображення для $ n $-узагальненого перехресного шутценбергерівського добутку  довільних моноїдів. Крім того, наведено необхідні та достатні умови для регулярності цього добутку. Institute of Mathematics, NAS of Ukraine 2024-02-28 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/7535 10.3842/umzh.v76i2.7535 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 2 (2024); 276-288 Український математичний журнал; Том 76 № 2 (2024); 276-288 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7535/9729 Copyright (c) 2024 Esra Kırmızı Çetinalp |
| spellingShingle | Çetinalp, Esra Kırmızı Çetinalp, Esra Kırmızı The $n$-Generalized Schützenberger-crossed product of monoids |
| title | The $n$-Generalized Schützenberger-crossed product of monoids |
| title_alt | $n$-Generalized Schützenberger-crossed product of monoids |
| title_full | The $n$-Generalized Schützenberger-crossed product of monoids |
| title_fullStr | The $n$-Generalized Schützenberger-crossed product of monoids |
| title_full_unstemmed | The $n$-Generalized Schützenberger-crossed product of monoids |
| title_short | The $n$-Generalized Schützenberger-crossed product of monoids |
| title_sort | $n$-generalized schützenberger-crossed product of monoids |
| topic_facet | Schützenberger product crossed product regularity Group Theory |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7535 |
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