A generalization of silting modules and Tor-tilting modules

Abstract

We introduce the concept of weak silting modules, which is a generalization of both silting modules and Tor-tilting modules. It is shown that W is a weak silting module if and only if its character module W⁺ is cosilting. Some properties of weak silting modules are given.

Keywords

Silting module / cosilting module / weak silting module / Tor-tilting module

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