Cotorsion theories involving Auslander and Bass classes

Z Zhang, X Zhu, X Yan - Communications in Algebra, 2012 - Taylor & Francis
Let R be a commutative ring, 𝒞 be a semidualizing R-module. We show that the Auslander
class 𝒜𝒞 (R) with respect to 𝒞 is the first left orthogonal class of some pure injective module …

Preservation of quasi-isomorphisms of complexes

ZK Liu - Acta Mathematica Sinica, English Series, 2012 - Springer
We consider the preservation property of the homomorphism and tensor product functors for
quasi-isomorphisms and equivalences of complexes. Let X and Y be two classes of R …