5 citations · 21 across the 43 of their papers we have counts for
4 papers · 1 filter
On the existence of certain modules of finite Gorenstein homological dimensions
Kamran Divaani-Aazar, Fatemeh Mohammadi Aghjeh Mashhad, Massoud Tousi
Let (R,m) be a commutative Noetherian local ring. It is known that R is Cohen-Macaulay if there exists either a nonzero finitely generated R-module of finite injective dimension or…
On the vanishing of local homology modules
Marziyeh Hatamkhani, Kamran Divaani-Aazar
Let be a commutative Noetherian ring, $\fa$ an ideal of and an -module. We intend to establish the dual of Grothendieck's Vanishing Theorem for local homology module…
The derived category analogue of the Hartshorne-Lichtenbaum Vanishing Theorem
Marziyeh Hatamkhani, Kamran Divaani-Aazar
Let $\fa$ be an ideal of a local ring $(R,\fm)$ and a -dimensional homologically bounded complex of -modules whose all homology modules are finitely generated. We show th…
Local homology and Gorenstein flat modules
Fatemeh Mohammadi Aghjeh Mashhad, Kamran Divaani-Aazar
Let be a commutative Noetherian ring, $\fa$ an ideal of and denote the derived category of -modules. We investigate the theory of local homology in conj…