We consider the following question: Is Gorenstein homology a X-pure homology, in the
sense defined by Warfield, for a class X of modules? Let GP denote the class of Gorenstein …

Let $(K,\M) $ be a pair satisfying some mild condition, where $ K $ is a class of $ R $-
modules and $\M $ is a class of $ R $-homomorphisms. We show that if $ f: A\rightarrow B …

Let A be a complete and cocomplete abelian category with the additional assumption that
any direct sum and product of short exact sequences are exact. We explore the relation …

Let R be an associative ring with identity. For a given class 𝒮 of finitely presented left
(respectively right) R-modules containing R, we present a complete characterization of 𝒮 …

Let R be a commutative ring with identity. For a given class S of R-modules, the class of all S-
pure flat R-modules is covering. Let S be any class of finitely presented R-modules …

1 Introduction Archive of SID www.SID.ir Page 1 A characterization of relative pure injective
R-modules F. Zareh-Khoshchehreh Buein Zahra Technical University, fzarehkh@bzte.ac.ir …

Let n and d be non-negative integers. We introduce the concept of strongly (n,d)-injective
modules to characterize n-coherent rings. For a right perfect ring R, it is shown that R is right …

A construction of relative left derived functors similar to $\operatorname {Tor}$Online logo
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