On the semigroup of monoid endomorphisms of the semigroup \(\mathscr{C}_{+}(a,b)\)
Let \(\mathscr{C}_{+}(a,b)\) be the submonoid of the bicyclic monoid which is studied in [8]. We describe monoid endomorphisms of the semigroup \(\mathscr{C}_{+}(a,b)\) which are generated by the family of all congruences of the bicyclic monoid and all injective monoid endomorphisms of \(\mathscr{C}...
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| Datum: | 2025 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2025
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2333 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543388530114560 |
|---|---|
| author | Gutik, Oleg Penza, Sher-Ali |
| author_facet | Gutik, Oleg Penza, Sher-Ali |
| author_sort | Gutik, Oleg |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2025-01-19T19:44:59Z |
| description | Let \(\mathscr{C}_{+}(a,b)\) be the submonoid of the bicyclic monoid which is studied in [8]. We describe monoid endomorphisms of the semigroup \(\mathscr{C}_{+}(a,b)\) which are generated by the family of all congruences of the bicyclic monoid and all injective monoid endomorphisms of \(\mathscr{C}_{+}(a,b)\). |
| first_indexed | 2025-12-02T15:42:41Z |
| format | Article |
| id | admjournalluguniveduua-article-2333 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:42:41Z |
| publishDate | 2025 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-23332025-01-19T19:44:59Z On the semigroup of monoid endomorphisms of the semigroup \(\mathscr{C}_{+}(a,b)\) Gutik, Oleg Penza, Sher-Ali endomorphism, injective, bicyclic semigroup, subsemigroup, direct product, semidirect product Let \(\mathscr{C}_{+}(a,b)\) be the submonoid of the bicyclic monoid which is studied in [8]. We describe monoid endomorphisms of the semigroup \(\mathscr{C}_{+}(a,b)\) which are generated by the family of all congruences of the bicyclic monoid and all injective monoid endomorphisms of \(\mathscr{C}_{+}(a,b)\). Lugansk National Taras Shevchenko University 2025-01-19 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2333 10.12958/adm2333 Algebra and Discrete Mathematics; Vol 38, No 2 (2024): A special issue 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2333/pdf Copyright (c) 2025 Algebra and Discrete Mathematics |
| spellingShingle | endomorphism injective bicyclic semigroup subsemigroup direct product semidirect product Gutik, Oleg Penza, Sher-Ali On the semigroup of monoid endomorphisms of the semigroup \(\mathscr{C}_{+}(a,b)\) |
| title | On the semigroup of monoid endomorphisms of the semigroup \(\mathscr{C}_{+}(a,b)\) |
| title_full | On the semigroup of monoid endomorphisms of the semigroup \(\mathscr{C}_{+}(a,b)\) |
| title_fullStr | On the semigroup of monoid endomorphisms of the semigroup \(\mathscr{C}_{+}(a,b)\) |
| title_full_unstemmed | On the semigroup of monoid endomorphisms of the semigroup \(\mathscr{C}_{+}(a,b)\) |
| title_short | On the semigroup of monoid endomorphisms of the semigroup \(\mathscr{C}_{+}(a,b)\) |
| title_sort | on the semigroup of monoid endomorphisms of the semigroup \(\mathscr{c}_{+}(a,b)\) |
| topic | endomorphism injective bicyclic semigroup subsemigroup direct product semidirect product |
| topic_facet | endomorphism injective bicyclic semigroup subsemigroup direct product semidirect product |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2333 |
| work_keys_str_mv | AT gutikoleg onthesemigroupofmonoidendomorphismsofthesemigroupmathscrcab AT penzasherali onthesemigroupofmonoidendomorphismsofthesemigroupmathscrcab |