Babak Jabbar Nezhad

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20202025

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math.AC2023

Equations of the multi-Rees algebra of fattened coordinate subspaces

Babak Jabbar Nezhad

In this paper we describe the equations defining the multi-Rees algebra $k [x_{1}, \dots, x_{n}] [I_{1}^{a_{1}} t_{1}, \dots, I_{r}^{a_{r}} t_{r}]$ , where the ideals are generated by subsets of $x_1,\dots…

math.AC2020

Multi-Rees algebras on principal ideal rings

Babak Jabbar Nezhad

When $R$ is a Noetherian ring and we have a family of ideals in which every ideal contains at least one nonzero divisor, then it is already known that the defining ideal of the mul…

math.AC2020

Koszul multi-Rees algebras of principal $L$ -Borel Ideals

Michael DiPasquale, Babak Jabbar Nezhad

Given a monomial $m$ in a polynomial ring and a subset $L$ of the variables of the polynomial ring, the principal $L$ -Borel ideal generated by $m$ is the ideal generated by all mon…

Equations of the multi-Rees algebra of fattened coordinate subspaces

Multi-Rees algebras on principal ideal rings

Koszul multi-Rees algebras of principal L-Borel Ideals

Koszul multi-Rees algebras of principal $L$ -Borel Ideals