Date of Graduation
8-2018
Document Type
Dissertation
Degree Name
Doctor of Philosophy in Mathematics (PhD)
Degree Level
Graduate
Department
Mathematical Sciences
Advisor
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