The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl₂)
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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2021 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2021
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188674 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl₂) / V. Bavula, T. Lu // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 1–16. — Бібліогр.: 21 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862739770337132544 |
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| author | Bavula, V. Lu, T. |
| author_facet | Bavula, V. Lu, T. |
| citation_txt | The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl₂) / V. Bavula, T. Lu // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 1–16. — Бібліогр.: 21 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T20:10:55Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188674 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:10:55Z |
| publishDate | 2021 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Bavula, V. Lu, T. 2023-03-11T13:08:22Z 2023-03-11T13:08:22Z 2021 The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl₂) / V. Bavula, T. Lu // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 1–16. — Бібліогр.: 21 назв. — англ. 1726-3255 DOI:10.12958/adm1761 2020 MSC: 17B10, 16D25, 16D60, 16D70, 16P50 https://nasplib.isofts.kiev.ua/handle/123456789/188674 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. Both authors were supported by the NSFC 11701190. V. Bavula was supported by the Royal Society. This paper was started when T. Lu was a postgraduate student at the School of Mathematics and Statistics of the University of Sheffield, UK (2012–2016) and finished when V. Bavula visited the School of Mathematical Sciences of the Huaqiao University, China (March–April 2018 and April 2019). The hospitality of both institutions is greatly appreciated. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl₂) Article published earlier |
| spellingShingle | The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl₂) Bavula, V. Lu, T. |
| title | The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl₂) |
| title_full | The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl₂) |
| title_fullStr | The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl₂) |
| title_full_unstemmed | The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl₂) |
| title_short | The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl₂) |
| title_sort | prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of u(gl₂) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188674 |
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