Reduction techniques for homological conjectures
Reduction techniques for homological conjectures
Let A be a finite-dimensional^-algebra over an algebraicallyclosedfieldk. We denote by mod A the category of finitelygenerated left ^-modules. For an A-module AX we denote by pd^Z (resp.id^Z) the projective(resp.injective) dimension of X. With D=Homk(―, k) we denote the standard duality with respect to the ground field.Then AD{AA) isan injectivecogenerator …