# On the conjecture of Vasconcelos for Artinian almost complete intersection monomial ideals

## TL;DR

This paper confirms Vasconcelos's conjecture that the Rees algebra of Artinian almost complete intersection monomial ideals is almost Cohen-Macaulay, advancing understanding in commutative algebra.

## Contribution

It proves Vasconcelos's conjecture for a class of monomial ideals, establishing their Rees algebras are almost Cohen-Macaulay.

## Key findings

- Rees algebra of Artinian almost complete intersection monomial ideals is almost Cohen-Macaulay
- Supports Vasconcelos's conjecture in this specific case
- Enhances knowledge of algebraic properties of monomial ideals

## Abstract

In this short note, we confirm a conjecture of Vasconcelos which states that the Rees algebra of any Artinian almost complete intersection monomial ideal is almost Cohen-Macaulay.