The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of \(U(\mathfrak{gl}_2)\)
For the algebras in the title, their prime, primitive and maximal spectra are explicitly described. For each prime ideal an explicit set of generators is given. An explicit description of all the containments between primes is obtained.
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| Дата: | 2021 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2021
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1761 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-1761 |
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ojs |
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oai:ojs.admjournal.luguniv.edu.ua:article-17612021-04-11T06:11:31Z The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of \(U(\mathfrak{gl}_2)\) Bavula, V. Lu, T. prime ideal, maximal ideal, universal enveloping algebra, prime spectrum 17B10, 16D25, 16D60, 16D70, 16P50 For the algebras in the title, their prime, primitive and maximal spectra are explicitly described. For each prime ideal an explicit set of generators is given. An explicit description of all the containments between primes is obtained. Lugansk National Taras Shevchenko University 2021-04-10 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1761 10.12958/adm1761 Algebra and Discrete Mathematics; Vol 31, No 1 (2021) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1761/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1761/825 Copyright (c) 2021 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
prime ideal maximal ideal universal enveloping algebra prime spectrum 17B10 16D25 16D60 16D70 16P50 |
| spellingShingle |
prime ideal maximal ideal universal enveloping algebra prime spectrum 17B10 16D25 16D60 16D70 16P50 Bavula, V. Lu, T. The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of \(U(\mathfrak{gl}_2)\) |
| topic_facet |
prime ideal maximal ideal universal enveloping algebra prime spectrum 17B10 16D25 16D60 16D70 16P50 |
| format |
Article |
| author |
Bavula, V. Lu, T. |
| author_facet |
Bavula, V. Lu, T. |
| author_sort |
Bavula, V. |
| title |
The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of \(U(\mathfrak{gl}_2)\) |
| title_short |
The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of \(U(\mathfrak{gl}_2)\) |
| title_full |
The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of \(U(\mathfrak{gl}_2)\) |
| title_fullStr |
The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of \(U(\mathfrak{gl}_2)\) |
| title_full_unstemmed |
The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of \(U(\mathfrak{gl}_2)\) |
| title_sort |
prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of \(u(\mathfrak{gl}_2)\) |
| description |
For the algebras in the title, their prime, primitive and maximal spectra are explicitly described. For each prime ideal an explicit set of generators is given. An explicit description of all the containments between primes is obtained. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2021 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1761 |
| work_keys_str_mv |
AT bavulav theprimespectrumoftheuniversalenvelopingalgebraofthe1spatialageingalgebraandofumathfrakgl2 AT lut theprimespectrumoftheuniversalenvelopingalgebraofthe1spatialageingalgebraandofumathfrakgl2 AT bavulav primespectrumoftheuniversalenvelopingalgebraofthe1spatialageingalgebraandofumathfrakgl2 AT lut primespectrumoftheuniversalenvelopingalgebraofthe1spatialageingalgebraandofumathfrakgl2 |
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2024-04-12T06:26:46Z |
| last_indexed |
2024-04-12T06:26:46Z |
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1796109192571912192 |