Geodesic
The prime spectrum of the universal enveloping algebra of the $1$-spatial ageing algebra and of~$U(\mathfrak{gl}_2)$
Algebra and discrete mathematics, Tome 31 (2021) no. 1, pp. 1-16

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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.
Keywords: prime ideal, maximal ideal, universal enveloping algebra, prime spectrum. 
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V. Bavula; T. Lu. The prime spectrum of the universal enveloping algebra of the $1$-spatial ageing algebra and of~$U(\mathfrak{gl}_2)$. Algebra and discrete mathematics, Tome 31 (2021) no. 1, pp. 1-16. http://geodesic.mathdoc.fr/item/ADM_2021_31_1_a0/