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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| Sprache: | English |
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Lugansk National Taras Shevchenko University
2025
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua: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 |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
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| datestamp_date |
2025-01-19T19:44:59Z |
| collection |
OJS |
| language |
English |
| topic |
endomorphism injective bicyclic semigroup subsemigroup direct product semidirect product |
| spellingShingle |
endomorphism injective bicyclic semigroup subsemigroup direct product semidirect product Gutik, Oleg Penza, Sher-Ali On the semigroup of monoid endomorphisms of the semigroup \(\mathscr{C}_{+}(a,b)\) |
| topic_facet |
endomorphism injective bicyclic semigroup subsemigroup direct product semidirect product |
| format |
Article |
| author |
Gutik, Oleg Penza, Sher-Ali |
| author_facet |
Gutik, Oleg Penza, Sher-Ali |
| author_sort |
Gutik, Oleg |
| title |
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_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_sort |
on the semigroup of monoid endomorphisms of the semigroup \(\mathscr{c}_{+}(a,b)\) |
| 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 \(\mathscr{C}_{+}(a,b)\). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2025 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2333 |
| work_keys_str_mv |
AT gutikoleg onthesemigroupofmonoidendomorphismsofthesemigroupmathscrcab AT penzasherali onthesemigroupofmonoidendomorphismsofthesemigroupmathscrcab |
| first_indexed |
2025-07-17T10:33:39Z |
| last_indexed |
2025-07-17T10:33:39Z |
| _version_ |
1838376097780072448 |