Noetherian Skew Inverse Power Series Rings

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dc.creatorLetzter, Edward S.
dc.creatorWang, Linhong
dc.date2007-03-19
dc.date2008-07-20
dc.date.accessioned2026-07-07T09:51:12Z
dc.date.available2026-07-07T09:51:12Z
dc.descriptionWe study skew inverse power series extensions R[[y^{-1};tau,delta]], where R is a noetherian ring equipped with an automorphism tau and a tau-derivation delta. We find that these extensions share many of the well known features of commutative power series rings. As an application of our analysis, we see that the iterated skew inverse power series rings corresponding to nth Weyl algebras are complete local, noetherian, Auslander regular domains whose right Krull dimension, global dimension, and classical Krull dimension, are all equal to 2n.
dc.description12 pages; no figures. Revised; to appear in Algebras and Representation Theory
dc.identifierhttps://arxiv.org/abs/math/0703558
dc.identifierhttp://arxiv.org/abs/math/0703558
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165207
dc.subjectRings and Algebras
dc.subject16S36; 16L30
dc.titleNoetherian Skew Inverse Power Series Rings
dc.typetext

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