Let SCR be a semidualizing bimodule with S left coherent and R right coherent. For a non-
negative integer n, it is shown that l. FP-id S (C)= r. FP-id R (C)≤ n if and only if every finitely …

Let R be an associative (not necessary commutative) ring. In this paper, we give some
properties of Hom-faithful and Hom-cofaithful R-modules. We investigate Σ-self-orthogonal R …

It is now well known that the conditions used by Auslander to define the Gorenstein
projective modules on Noetherian rings are independent. Recently, Ringel and Zhang …

Let S and R be two associative rings, SCR be a faithfully balanced (S, R)-bimodule. We
introduce and investigate properties of∞-torsionfree modules with respect to SCR, which …

We derive in the paper the tensor product functor $-\otimes_R-$ by using proper $\mathcal
{G}\mathcal {P} _C $-resolutions, where $ C $ is a semidualizing module. After giving …

Let R be an associative (not necessary commutative) ring. In this paper, we give some
properties of Hom-faithful and Hom-cofaithful R-modules. We investigate Σ-self-orthogonal R …