Abstract Let $ A $ and $ B $ be rings, $ U $ a $(B, A) $-bimodule, and $ T=\left (\begin
{smallmatrix} A & 0\\U & B\\\end {smallmatrix}\right) $ the triangular matrix ring. In this paper …

Let R be a ring. We introduce the concept of Gorenstein f-projective R-modules and obtain
some closure properties of Gorenstein f-projective R-modules. As a consequence, we …

In this paper, we introduce the class of quasi-strongly Gorenstein projective modules which
is a particular subclass of the class of finitely generated Gorenstein projective modules. We …

Notes on Strongly n-Gorenstein Projective, Injective and Flat Modules Page 1 Chin. Quart. J. of
Math. 2012, 27 (3): 389—396 Notes on Strongly n-Gorenstein Projective, Injective and Flat …

arXiv:0909.4818v1 [math.AC] 25 Sep 2009 Page 1 arXiv:0909.4818v1 [math.AC] 25 Sep 2009
GORENSTEIN GLOBAL DIMENSION OF SEMI-PRIMARY RINGS MOHAMMED TAMEKKANTE …

Over a commutative Noetherian ring R, the Bass invariants μi (p, M) were defined for any
module M and any prime p∈ Spec R by H. Bass (Math. Z. 82, 1963, 8-28). In the first part of …

X -INJECTIVE AND GORENSTEIN X -INJECTIVE MODULES Page 1 Far East Journal of
Mathematical Sciences (FJMS) © 2014 Pushpa Publishing House, Allahabad, India …

We prove that the class of Gorenstein projective modules is special precovering over any left
GF-closed ring such that every Gorenstein projective module is Gorenstein flat and every …

One of the main results of this paper is the characterization of the rings over which all
modules are strongly Gorenstein projective. We show that these kinds of rings are very …

We establish relations of Gorenstein homological properties of modules and rings linked by
a fixed quasi-Frobenius bimodule. Particularly, let R ⊂ SR⊂ S be a strongly separable …