Date of Graduation
8-2018
Document Type
Dissertation
Degree Name
Doctor of Philosophy in Mathematics (PhD)
Degree Level
Graduate
Department
Mathematical Sciences
Advisor/Mentor
Mark Johnson
Committee Member
Paolo Mantero
Second Committee Member
Lance Miller
Keywords
Rees Algebra
Abstract
In this thesis we describe the defining equations of certain multi-Rees algebras. First, we determine the defining equations of the multi-Rees algebra $R[I^{a_1}t_1,\dots,I^{a_r}t_r]$ over a Noetherian ring $R$ when $I$ is an ideal of linear type. This generalizes a result of Ribbe and recent work of Lin-Polini and Sosa. Second, we describe the equations defining the multi-Rees algebra $R[I_1^{a_1}t_1,\dots,I_r^{a_r}t_r]$, where $R$ is a Noetherian ring containing a field and the ideals are generated by a subset of a fixed regular sequence.
Citation
Jabbar Nezhad, B. (2018). Equations of multi-Rees Algebras. Graduate Theses and Dissertations Retrieved from https://scholarworks.uark.edu/etd/2900