Erratum for “On the LS-category of homomorphisms of groups with torsion”
Our previous paper [4] has an error in the proof of Theorem 1.3. In the paper, we give a counterexample for Theorem 1.3 in [4]. We present the correct formulation of Theorem 1.2, in which we prove the equality \(\text{cat}(\phi)=\text{cd}(\phi)\) for homomorphisms \(\phi:\Gamma\to \Lambda\) between...
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| Дата: | 2024 |
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| Мова: | English |
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Lugansk National Taras Shevchenko University
2024
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2308 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-23082024-09-23T09:29:11Z Erratum for “On the LS-category of homomorphisms of groups with torsion” Kuanyshov, Nursultan Lusternik-Schnirelmann category, cohomological dimension, group homomorphism Primary 55M30; Secondary 55M25, 57R65, 57R67 Our previous paper [4] has an error in the proof of Theorem 1.3. In the paper, we give a counterexample for Theorem 1.3 in [4]. We present the correct formulation of Theorem 1.2, in which we prove the equality \(\text{cat}(\phi)=\text{cd}(\phi)\) for homomorphisms \(\phi:\Gamma\to \Lambda\) between finitely generated abelian groups \(\Gamma\) and \(\Lambda\), where \(\phi(T(\Gamma))=0\) for the torsion subgroups \(T(\Gamma)\) of \(\Gamma\). Lugansk National Taras Shevchenko University 2024-09-23 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2308 10.12958/adm2308 Algebra and Discrete Mathematics; Vol 38, No 1 (2024) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2308/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2308/1217 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2308/1218 Copyright (c) 2024 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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| datestamp_date |
2024-09-23T09:29:11Z |
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OJS |
| language |
English |
| topic |
Lusternik-Schnirelmann category cohomological dimension group homomorphism Primary 55M30; Secondary 55M25 57R65 57R67 |
| spellingShingle |
Lusternik-Schnirelmann category cohomological dimension group homomorphism Primary 55M30; Secondary 55M25 57R65 57R67 Kuanyshov, Nursultan Erratum for “On the LS-category of homomorphisms of groups with torsion” |
| topic_facet |
Lusternik-Schnirelmann category cohomological dimension group homomorphism Primary 55M30; Secondary 55M25 57R65 57R67 |
| format |
Article |
| author |
Kuanyshov, Nursultan |
| author_facet |
Kuanyshov, Nursultan |
| author_sort |
Kuanyshov, Nursultan |
| title |
Erratum for “On the LS-category of homomorphisms of groups with torsion” |
| title_short |
Erratum for “On the LS-category of homomorphisms of groups with torsion” |
| title_full |
Erratum for “On the LS-category of homomorphisms of groups with torsion” |
| title_fullStr |
Erratum for “On the LS-category of homomorphisms of groups with torsion” |
| title_full_unstemmed |
Erratum for “On the LS-category of homomorphisms of groups with torsion” |
| title_sort |
erratum for “on the ls-category of homomorphisms of groups with torsion” |
| description |
Our previous paper [4] has an error in the proof of Theorem 1.3. In the paper, we give a counterexample for Theorem 1.3 in [4]. We present the correct formulation of Theorem 1.2, in which we prove the equality \(\text{cat}(\phi)=\text{cd}(\phi)\) for homomorphisms \(\phi:\Gamma\to \Lambda\) between finitely generated abelian groups \(\Gamma\) and \(\Lambda\), where \(\phi(T(\Gamma))=0\) for the torsion subgroups \(T(\Gamma)\) of \(\Gamma\). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2024 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2308 |
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AT kuanyshovnursultan erratumforonthelscategoryofhomomorphismsofgroupswithtorsion |
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2025-12-02T15:44:23Z |
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2025-12-02T15:44:23Z |
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