Geodesic
PRIME SPECTRA OF AMBISKEW POLYNOMIAL RINGS
Glasgow mathematical journal, Tome 61 (2019) no. 1, pp. 49-68

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DOI

We determine sufficient criteria for the prime spectrum of an ambiskew polynomial algebra R over an algebraically closed field K to be akin to those of two of the principal examples of such an algebra, namely the universal enveloping algebra U(sl2) (in characteristic 0) and its quantization Uq(sl2) (when q is not a root of unity). More precisely, we determine sufficient criteria for the prime spectrum of R to consist of 0, the ideals (z − λ)R for some central element z of R and all λ ∈ K, and, for some positive integer d and each positive integer m, d height two prime ideals P for which R/P has Goldie rank m. 
FISH, CHRISTOPHER D.; JORDAN, DAVID A. PRIME SPECTRA OF AMBISKEW POLYNOMIAL RINGS. Glasgow mathematical journal, Tome 61 (2019) no. 1, pp. 49-68. doi: 10.1017/S0017089518000046
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     author = {FISH, CHRISTOPHER D. and JORDAN, DAVID A.},
     title = {PRIME {SPECTRA} {OF} {AMBISKEW} {POLYNOMIAL} {RINGS}},
     journal = {Glasgow mathematical journal},
     pages = {49--68},
     year = {2019},
     volume = {61},
     number = {1},
     doi = {10.1017/S0017089518000046},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000046/}
}
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