Some Remarks on Regular Sequences and Complete Intersections
Manolis C. Tsakiris
Abstract
We give an ideal in a polynomial ring in three variables, generated by three elements and having height equal to three, but for which no permutation of its generators is a regular sequence. We prove that in a polynomial ring over an infinite field, an ideal of height n generated by n polynomials, always admits a set of n generators, for which any permutation is a regular sequence.
Create a lesson
Related papers
On Z-Noetherian Rings
Ambar Dubey, Tushar Singh, Shiv Datt Kumar
Semiprime and real submodules of arbitrary modules are intersections of prime and real prime submodules
Jakob Cimprič
An overring characterization of Gorenstein Prüfer domains
Hwankoo Kim
Gorenstein Prüfer domains with non-Prüfer integral closure
Hwankoo Kim
On modular vector invariant fields
Ying Han, Runxuan Zhang
A lower bound on depth \ A/In
Tony J. Puthenpurakal