A Note on Cosilting Modules

TL;DR

This paper characterizes cosilting modules via two-term complexes and links them to specific t-structures in the derived category, advancing the theoretical understanding of cosilting theory.

Contribution

It provides a new characterization of (partial) cosilting modules using two-term complexes and connects them to t-structures in derived categories.

Findings

Characterization of cosilting modules through two-term complexes

Association of cosilting modules with specific t-structures

Extension of cosilting theory in derived categories

Abstract

The notion of cosilting module was recently introduced as a generalization of the notion of cotilting module. In this paper, we give a characterization of (partial) cosilting modules in terms of two-term cosilting complexes. Moreover, we show that to every cosilting module could be associated a particular t-structure in the derived module category.