On partial endomorphisms of a star graph
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913203213041664 |
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| author | Dimitrova, Ilinka Fernandes, Vítor H. Koppitz, Jörg |
| author_facet | Dimitrova, Ilinka Fernandes, Vítor H. Koppitz, Jörg |
| contents | In this paper we consider the monoids of all partial endomorphisms, of all partial weak endomorphisms, of all injective partial endomorphisms, of all partial strong endomorphisms and of all partial strong weak endomorphisms of a star graph with a finite number of vertices. Our main objective is to determine their ranks. We also describe their Green's relations, calculate their cardinalities and study their regularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11741 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On partial endomorphisms of a star graph Dimitrova, Ilinka Fernandes, Vítor H. Koppitz, Jörg Rings and Algebras 20M20, 20M10, 05C12, 05C25 In this paper we consider the monoids of all partial endomorphisms, of all partial weak endomorphisms, of all injective partial endomorphisms, of all partial strong endomorphisms and of all partial strong weak endomorphisms of a star graph with a finite number of vertices. Our main objective is to determine their ranks. We also describe their Green's relations, calculate their cardinalities and study their regularity. |
| title | On partial endomorphisms of a star graph |
| topic | Rings and Algebras 20M20, 20M10, 05C12, 05C25 |
| url | https://arxiv.org/abs/2401.11741 |