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.

Збережено в:
Бібліографічні деталі
Опубліковано в: :Algebra and Discrete Mathematics
Дата:2021
Автори: Bavula, V., Lu, T.
Формат: Стаття
Мова:English
Опубліковано: Інститут прикладної математики і механіки НАН України 2021
Онлайн доступ: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
Цитувати: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.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-188674
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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl₂)
spellingShingle The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl₂)
Bavula, V.
Lu, T.
title_short 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_sort prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of u(gl₂)
author Bavula, V.
Lu, T.
author_facet Bavula, V.
Lu, T.
publishDate 2021
language English
container_title Algebra and Discrete Mathematics
publisher Інститут прикладної математики і механіки НАН України
format Article
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.
issn 1726-3255
url https://nasplib.isofts.kiev.ua/handle/123456789/188674
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.
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