… Gorenstein. In this section, we will give some characterizations of a ring with finite
Gorenstein weak global dimension and obtain some homotopic equivalences over such a ring. …

… same result holds if R is a left Noetherian ring. We also consider the Gorenstein injective
dimensions of complexes by showing that if R is a left Noetherian ring and C a complex of left R-…

… of Gorenstein flat modules. We show that when the ring R is two sided noetherian, a complex
C is Gorenstein flat if … noetherian ring of finite Krull dimension, then the class of Gorenstein …

… ring R, a complex C of left R-modules is Gorenstein projective if and only if Cm is Gorenstein
… projective dimension over a right coherent left perfect ring R, we also show that Gpd(C) ≤ n …

… product B OAC of Macaulay rings are again Macaulay if we … dimensional local ring with
the maximal ideal m . Then the following conditions are equivalent: (1) R is a Gorenstein ring…

… ere are natural ring homomorphisms R ⇄ RC that enable us to consider R-modules as R
C-modules, and vice versa. (ii) For any ideal a of R, a ⊕ C is an ideal of R C. (iii) (R C, m ⊕ C) …

… Let A be a commutative local Noetherian ring with identity of Krull dimension n, m its … of
the natural ring homomorphism A^-A x N. Now, by [4, (3.7)], the natural ^-homomorphism A-*-…

… Gorenstein dimensions are related to the Gorenstein rings. General background materials
about Gorenstein … homomorphisms is already an important field of study. We investigate the …

… always a local ring. We begin with recalling the definition of Gorenstein dimension (abbr. G-…
, φ always denotes a local homomorphism from a local ring (S,n,l) to a local ring (R,m,k). We …

… Motivated by the fact that finitistic dimensions of an algebra can alternatively be computed
by Gorenstein projective dimension, we examine in this work the Gorenstein counterpart of …