The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl₂)

• Published in: Algebra and Discrete Mathematics
• Date: 2021
• ISSN: 1726-3255
• Main Authors: Bavula, V., Lu, T.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188674
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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.