A ring R is called Gorenstein hereditary (G-hereditary) if every submodule of a projective
module is Gorenstein projective (ie Ggldim (R)≤ 1). In this paper, we settle a question …

On (Strongly) Gorenstein (Semi)Hereditary Rings Page 1 Arab J Sci Eng (2011) 36:431–440
DOI 10.1007/s13369-011-0047-7 RESEARCH ARTICLE - MATHEMATICS Najib Mahdou …

In this article, Gorenstein FP-injective modules are introduced and investigated. A left R-
module M is called Gorenstein FP-injective if there is an exact sequence…→ E 1→ E 0→ E …

In this paper, Gorenstein FP-injective modules are introduced and studied. An R-module M
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …

A complex C is called Gorenstein injective if there exists an exact sequence of
complexes⋯→ I− 1→ I0→ I1→⋯ such that each Ii is injective, C= Ker (I0→ I1) and the …

In this paper, weak Gorenstein projective, injective and flat modules are introduced and
investigated. A left R-module M is called weak Gorenstein projective if there exists an exact …

This paper generalize the idea of the authors in J. Pure Appl. Algebra 210 (2007) 437–445.
Namely, we define and study a particular case of Gorenstein projective modules. We …

We show that over a right coherent left perfect ring R, a complex C of left R-modules is
Gorenstein projective if and only if C m is Gorenstein projective in R-Mod for all m∈ ℤ …

In this article we extend the notion of Gorenstein injective and projective modules to that of
complexes and characterize such complexes. We prove that over an n-Gorenstein ring every …

R will denote an n-Gorenstein ring, that is, R is left and right noetherian with injective
dimension at most n on either side. R module will mean a left R-module and all modules will …