# Equivalences induced by infinitely generated silting modules

## TL;DR

This paper investigates how silting modules and complexes induce equivalences in the derived category of a ring, focusing on infinitely generated cases and their algebraic implications.

## Contribution

It introduces a framework for understanding equivalences induced by infinitely generated silting modules and complexes in derived categories.

## Key findings

- Characterization of equivalences induced by silting modules
- Extension of silting theory to infinitely generated modules
- Connections between silting modules and derived category equivalences

## Abstract

We study equivalences induced by a silting module $T$ or, equivalently, by a complex of projectives $\mathbb{P}$, concentrated in $-1$ and $0$ which is silting in the derived category $\mathbf{D}(R)$ of a ring $R$.