Completions of quantum coordinate rings

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dc.creatorWang, Linhong
dc.date2007-10-19
dc.date2008-04-29
dc.date.accessioned2026-07-07T12:35:17Z
dc.date.available2026-07-07T12:35:17Z
dc.descriptionGiven an iterated skew polynomial ring C[y_1;t_1,d_1]ldots [y_n;t_n,d_n] over a complete local ring C with maximal ideal m, we prove, under suitable assumptions, that the completion at the ideal m + < y_1,y_2,ldots,y_n> is an iterated skew power series ring. Under further conditions, this completion is a local, noetherian, Auslander regular domain. Applicable examples include quantum matrices, quantum symplectic spaces, and quantum Euclidean space.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0710.3749
dc.identifierhttp://arxiv.org/abs/0710.3749
dc.identifierProc. Amer. Math. Soc. 137 (2009), 911-919.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217721
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.subject16W60, 16S36, 16L30
dc.titleCompletions of quantum coordinate rings
dc.typetext

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