Gr\"obner bases and equations of the multi-Rees algebras
Babak Jabarnejad

TL;DR
This paper characterizes the defining equations of multi-Rees algebras over Noetherian rings with ideals generated by subsets of a weak regular sequence, advancing algebraic understanding of these structures.
Contribution
It provides a detailed description of the equations defining multi-Rees algebras in a specific algebraic setting, extending prior knowledge on Rees algebra equations.
Findings
Explicit equations for multi-Rees algebras are derived.
The structure of these equations depends on the properties of the generating ideals.
The results apply to ideals generated by subsets of weak regular sequences.
Abstract
In this paper we describe the equations defining the multi-Rees algebra , where is a Noetherian ring and the ideals are generated by subsets of a fixed weak regular sequence.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Algebraic structures and combinatorial models
