# The family of perfect ideals of codimension 3, of type 2 with 5 generators

## TL;DR

This paper introduces a new family of perfect ideals of codimension three with five generators and Cohen-Macaulay type two, which could be crucial for classifying such ideals.

## Contribution

It defines a specific family of perfect ideals with particular properties, advancing the understanding of their classification.

## Key findings

- Family of perfect ideals with trivial multiplication on the Tor algebra
- Potential key role in classifying perfect ideals of five generators
- Advances in understanding Cohen-Macaulay type two ideals

## Abstract

In this paper we define an interesting family of perfect ideals of codimension three, with five generators, of Cohen-Macaulay type two with trivial multiplication on the Tor algebra. This family is likely to play a key role in classifying perfect ideals with five generators of type two.