Cosilting Modules

By Simion Breaz, Flaviu Pop. 2015

51 citations recorded by the source corpus.

We study the class of modules, called cosilting modules, which are defined as the categorical duals of silting modules. Several characterizations of these modules and connections with silting modules are presented. We prove that Bazzoni’s theorem about the pure-injectivity of cotilting modules is also valid for cosilting modules.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/aa98f875cb89abd11590467f92deaa4b291cc2be

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Lidia Angeleri Hugel
2. Jorge Vit'oria
3. Chrysostomos Psaroudakis
4. Michal Hrbek
5. J. Št’ovíček

In Geometry and Topology

1. Lidia Angeleri Hugel
2. Jorge Vit'oria
3. Chrysostomos Psaroudakis
4. Michal Hrbek
5. J. Št’ovíček

Citations in the corpus

• Silting Objects (2018, background): “This gives rise to the notion of a cosilting module first introduced in [33].”
• Realisation functors in tilting theory (2015, background): “We also introduce the dual notion of a cosilting object, the 2-term version of which is independently dealt with in [19].”
• Silting modules over commutative rings (2016, background): “ther piece of evidence for the close relationship between silting modules and localisation theory. Our result is achieved by investigating the dual notion of a cosilting module recently introduced in [8] as a generalisation of cotilting modules. Indeed, the dual of a silting module T is a cosilting ”