Nontilting
Nontilting is a term used in mathematics, specifically in the context of tilting theory in representation theory. It describes a class of modules that have a specific relationship with a tilting complex. In essence, a module is nontilting if it satisfies certain conditions related to its Ext groups with respect to a tilting complex.
More formally, let $T$ be a tilting complex over a ring $A$. A module $M$ is called
The concept of nontilting modules is a generalization of almost complete tilting modules. Tilting theory provides