Abstract
For a finitely generated module M, over a universally catenary local ring, whose symmetric algebra is equidimensional, the ideals generated by the rows of a minimal presentation matrix are shown to have height at most μ(M)−\rankM. Moreover, in the extremal case, they are Cohen-Macaulay ideals if the symmetric algebra is Cohen-Macaulay. Some applications are given to residual intersections of ideals.
Citation
Mark R. Johnson. "Equidimensional symmetric algebras and residual intersections." Illinois J. Math. 45 (1) 187 - 193, Spring 2001. https://doi.org/10.1215/ijm/1258138262
Information