Ideals on the Quantum Plane’s Jet Space

Andrey Glubokov
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Andrey Glubokov: Department of Mathematics, Ave Maria University, Ave Maria, FL 34142, USA

Mathematics, 2020, vol. 8, issue 3, 1-11

Abstract: The goal of this paper is to introduce some rings that play the role of the jet spaces of the quantum plane and unlike the quantum plane itself possess interesting nontrivial prime ideals. We will prove some results (Theorems 1–4) about the prime spectrum of these rings.

Keywords: quantum plane; noncommutative geometry; quantum curves (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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