Babak Jabbar Nezhad

activity

20202025

collaborators

5 papers

math.LO2025

Paradox on the Countable Axiom of Choice

Babak Jabbar Nezhad

Bishop's constructive mathematics school rejects the Law of Excluded Middle, but instead vastly makes use of weaker versions of the Choice. In this paper we pioneer an example, whi…

math.GM2024

A Paradox on the Law of Excluded Middle in the framework of category of set

Babak Jabbar Nezhad

In this paper, we present a paradox arising from the acceptance of the Law of Excluded Middle (LEM) within classical mathematics. Specifically, we construct a nonzero analytic func…

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…

Paradox on the Countable Axiom of Choice

A Paradox on the Law of Excluded Middle in the framework of category of set

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