5
votes
2answers
193 views

Torsion pairs and projective dimension

Let $A$ denote an algebra finite dimensional, basic, and connected algebra over a algebraically closed field $K$. We denote by $mod A$ the abelian category whose objects are finitely generated right ...
0
votes
1answer
161 views

Equivalence of definitions of Tilting

There seem to be two types of definitions for what is a tilting module (as a reference, Handbook of Tilting Theory). I believe that the original definition of Ringel is Def: T, a module over a ...
1
vote
2answers
425 views

tilting module

is any indecomposable projective-injective A-module a direct summand of tilting module