Посилання: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.
Підтримка: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.
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.