On The Linearity Of Artin Functions

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dc.creatorDinh, Trung T.
dc.date2009-01-16
dc.date.accessioned2026-07-07T12:30:59Z
dc.date.available2026-07-07T12:30:59Z
dc.descriptionIt was proved by Elkik that, under some smoothness conditions, the Artin functions of systems of polynomials over a Henselian pair are bounded above by linear functions. This paper gives a stronger form of this result for the class of excellent Henselian local rings. The linearity of Artin functions of systems of polynomials in one variable is also studied. Explicit calculations of Artin functions of monomials and determinantal ideals are also included.
dc.identifierhttps://arxiv.org/abs/0901.2392
dc.identifierhttp://arxiv.org/abs/0901.2392
dc.identifierJ. Pure Appl. Algebra 209 (2007), no. 2, 325--336
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216303
dc.subjectCommutative Algebra
dc.subject13B40
dc.titleOn The Linearity Of Artin Functions
dc.typetext

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