About the theory of local homology and local cohomology modules
We introduce local homology for the edge ideal of a graph, and study some properties of local homology modules for Artinian modules, such as the artinianness, and the characterization of Width by local homology. Moreover, we put results which involve the theory of local cohomology modules together w...
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| Datum: | 2025 |
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| 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/2169 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543426991882240 |
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| author | Tognon, Carlos Henrique |
| author_facet | Tognon, Carlos Henrique |
| author_sort | Tognon, Carlos Henrique |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2025-08-13T10:04:13Z |
| description | We introduce local homology for the edge ideal of a graph, and study some properties of local homology modules for Artinian modules, such as the artinianness, and the characterization of Width by local homology. Moreover, we put results which involve the theory of local cohomology modules together with the edge ideal of a graph simple and finite, with no isolated vertices. |
| first_indexed | 2025-12-02T15:42:31Z |
| format | Article |
| id | admjournalluguniveduua-article-2169 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:42:31Z |
| publishDate | 2025 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-21692025-08-13T10:04:13Z About the theory of local homology and local cohomology modules Tognon, Carlos Henrique Artinian module, local homology, local cohomology, edge ideal of a graph 13D45, 13C13 We introduce local homology for the edge ideal of a graph, and study some properties of local homology modules for Artinian modules, such as the artinianness, and the characterization of Width by local homology. Moreover, we put results which involve the theory of local cohomology modules together with the edge ideal of a graph simple and finite, with no isolated vertices. Lugansk National Taras Shevchenko University 2025-08-13 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2169 10.12958/adm2169 Algebra and Discrete Mathematics; Vol 39, No 2 (2025) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2169/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2169/1268 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2169/1271 Copyright (c) 2025 Algebra and Discrete Mathematics |
| spellingShingle | Artinian module local homology local cohomology edge ideal of a graph 13D45 13C13 Tognon, Carlos Henrique About the theory of local homology and local cohomology modules |
| title | About the theory of local homology and local cohomology modules |
| title_full | About the theory of local homology and local cohomology modules |
| title_fullStr | About the theory of local homology and local cohomology modules |
| title_full_unstemmed | About the theory of local homology and local cohomology modules |
| title_short | About the theory of local homology and local cohomology modules |
| title_sort | about the theory of local homology and local cohomology modules |
| topic | Artinian module local homology local cohomology edge ideal of a graph 13D45 13C13 |
| topic_facet | Artinian module local homology local cohomology edge ideal of a graph 13D45 13C13 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2169 |
| work_keys_str_mv | AT tognoncarloshenrique aboutthetheoryoflocalhomologyandlocalcohomologymodules |