A generalization of Grothendieck's non-vanishing theorem is proved for a module which is
finite over a local homomorphism. It is also proved that the Gorenstein injective dimension of …

Let 𝔞 be an ideal of a commutative Noetherian ring R and M and N two finitely generated R-
modules. Let cd𝔞 (M, N) denote the supremum of the i's such that. First, by using the theory …

A Bass equality for Gorenstein injective dimension of modules finite over homomorphisms |
SpringerLink Skip to main content Advertisement SpringerLink Account Menu Find a journal …

Counterexample to the paper “On the Gorenstein injective dimension and Bass formula”
Page 1 Arch. Math. 93 (2009), 319–321 c© 2009 Birkhäuser Verlag Basel/Switzerland 0003-889X/09/040319-3 …

Title of Article Page 1 arXiv:math/0605578v1 [math.AC] 22 May 2006 A NOTE ON
GORENSTEIN INJECTIVE DIMENSION LEILA KHATAMI Abstract. Suppose that M is a module …

Given a homomorphism of commutative noetherian rings R--> S and an S-module N, it is
proved that the Gorenstein flat dimension of N over R, when finite, may be computed locally …

A Bass equality for Gorenstein injective dimension of modules finite over homomorphisms -
NASA/ADS Now on home page ads icon ads Enable full ADS view NASA/ADS A Bass equality …

Throughout this paper,(R, m) is a commutative Noetherian local ring with the maximal ideal
m. The following conjecture proposed by Bass [1], has been proved by Peskin and Szpiro [2] …

Let R be a (not necessary finite dimensional) commutative noetherian ring and let C be a
semi-dualizing module over R. There is a generalized Gorenstein dimension with respect to …

Let (R, 𝔪) be a commutative Noetherian local ring and M an R-module which is relative
Cohen-Macaulay with respect to a proper ideal 𝔞 of R, and set n:= ht M𝔞. We prove that …