On the Dimension Theory of Polynomial Rings over Pullbacks

Simple item page
dc.creatorKabbaj, S.
dc.date2006-06-27
dc.date.accessioned2026-07-07T07:17:44Z
dc.date.available2026-07-07T07:17:44Z
dc.descriptionThis review paper deals with dimension theory of polynomial rings over certain families of pullbacks. While the literature is plentiful, this field is still developing and many contexts are yet to be explored. I will thus restrict the scope of the present survey, mainly, to topics I have worked on over the last decade. The set of pullback constructions studied includes D+M, D+(X_{1}, >..., X_{n})D_{S}[X_{1}, ..., X_{n}], A+XB[X], and D+I.
dc.description13 pages, 2 figures, to appear in "Multiplicative Ideal Theory: a tribute to the work of Robert Gilmer," Eds: J. W. Brewer, S. Glaz, W. J. Heinzer, and B. Olberding, Springer Science+Business Media
dc.identifierhttps://arxiv.org/abs/math/0606686
dc.identifierhttp://arxiv.org/abs/math/0606686
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114049
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13C15; 13F20; 13G05
dc.titleOn the Dimension Theory of Polynomial Rings over Pullbacks
dc.typetext

Files

Collections

arXiv