On Some Versions of Hopficity for Abelian Groups
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917169001922560 |
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| author | Danchev, Peter V. Keef, Patrick W. |
| author_facet | Danchev, Peter V. Keef, Patrick W. |
| contents | We completely describe in certain important cases the class of commutative co-finitely Hopfian groups as defined by Bridson-Groves-Hillman- Martin in the journal Groups, Geometry, and Dynamics on 2010 (see [3]). We also consider and give a satisfactory description of several related classes of commutative groups. We also discuss in the commutative case a slightly more general version of co-finitely Hopfian groups called almost co-finitely Hopfian groups, as well as a more general version of Hopfian groups called almost finitely Hopfian groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21223 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Some Versions of Hopficity for Abelian Groups Danchev, Peter V. Keef, Patrick W. Group Theory Rings and Algebras 20K10, 20K20, 20K21, 20K30 We completely describe in certain important cases the class of commutative co-finitely Hopfian groups as defined by Bridson-Groves-Hillman- Martin in the journal Groups, Geometry, and Dynamics on 2010 (see [3]). We also consider and give a satisfactory description of several related classes of commutative groups. We also discuss in the commutative case a slightly more general version of co-finitely Hopfian groups called almost co-finitely Hopfian groups, as well as a more general version of Hopfian groups called almost finitely Hopfian groups. |
| title | On Some Versions of Hopficity for Abelian Groups |
| topic | Group Theory Rings and Algebras 20K10, 20K20, 20K21, 20K30 |
| url | https://arxiv.org/abs/2512.21223 |