Principal quasi-ideals of cohomological dimension 1
We prove that a principal quasi-ideal of a noncommutative free semigroup has cohomological dimension 1 if and only if it is free.
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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1144 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-11442018-05-13T06:43:21Z Principal quasi-ideals of cohomological dimension 1 Novikov, B. V. cohomology of semigroups, cohomological dimension, quasi-ideal, free semigroup 20M05, 20M50 We prove that a principal quasi-ideal of a noncommutative free semigroup has cohomological dimension 1 if and only if it is free. Lugansk National Taras Shevchenko University 2018-05-13 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1144 Algebra and Discrete Mathematics; Vol 2, No 1 (2003) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1144/636 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
cohomology of semigroups cohomological dimension quasi-ideal free semigroup 20M05 20M50 |
| spellingShingle |
cohomology of semigroups cohomological dimension quasi-ideal free semigroup 20M05 20M50 Novikov, B. V. Principal quasi-ideals of cohomological dimension 1 |
| topic_facet |
cohomology of semigroups cohomological dimension quasi-ideal free semigroup 20M05 20M50 |
| format |
Article |
| author |
Novikov, B. V. |
| author_facet |
Novikov, B. V. |
| author_sort |
Novikov, B. V. |
| title |
Principal quasi-ideals of cohomological dimension 1 |
| title_short |
Principal quasi-ideals of cohomological dimension 1 |
| title_full |
Principal quasi-ideals of cohomological dimension 1 |
| title_fullStr |
Principal quasi-ideals of cohomological dimension 1 |
| title_full_unstemmed |
Principal quasi-ideals of cohomological dimension 1 |
| title_sort |
principal quasi-ideals of cohomological dimension 1 |
| description |
We prove that a principal quasi-ideal of a noncommutative free semigroup has cohomological dimension 1 if and only if it is free. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1144 |
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2024-04-12T06:25:34Z |
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2024-04-12T06:25:34Z |
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1796109205226127360 |