On the Dimension Theory of Polynomial Rings over Pullbacks
Commutative Algebra
2007-05-23 v1 Algebraic Geometry
Abstract
This 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.
Cite
@article{arxiv.math/0606686,
title = {On the Dimension Theory of Polynomial Rings over Pullbacks},
author = {S. Kabbaj},
journal= {arXiv preprint arXiv:math/0606686},
year = {2007}
}
Comments
13 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