Abstract
Let R=𝕂[a,b,c,d]∕(ad−bc) or 𝕂[a,b,c]∕(ac−b2), where 𝕂 is a field of arbitrary characteristic and a,b,c,d are indeterminates. In this paper we will show that there is an order preserving embedding from the poset of Hilbert functions of homogeneous ideals of R to the poset of homogeneous ideals of R. We also obtain related results for Betti numbers when the characteristic of 𝕂 is 0.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
