This thesis is comprised of three chapters. The first chapter deals with bounded complexes
of Gorenstein projective and Gorenstein injective modules. Deploying methods of relative …

We introduce generalized local homology which is in some sense dual to generalized local
cohomology, and study some properties of generalized local homology modules for artinian …

Full article: Left-Derived Functors of the Generalized I-Adic Completion and Generalized
Local Homology Skip to Main Content Taylor and Francis Online homepage Taylor and …

We show some results about local homology modules and local cohomology modules
concerning Grothendieck's conjecture and Huneke's question. We also show some …

Let 𝔞 be an ideal of a commutative noetherian ring R with unity and M an R-module
supported at V (𝔞). Let n be the supermum of the integers i for which H i 𝔞 (M)≠ 0. We show …

We show that if M is a finitely generated R-module, N is an I-stable semi-discrete linearly
compact R-module and G is a closed R-submodule of the generalized local homology …

Given a Serre class S of modules, we compare the containment of Koszul homology, Ext
modules, Tor modules, local homology and local cohomology in S up to a given bound s≧0 …

Let R be a commutative noetherian ring and a an ideal of R. The goal of this paper is to
establish the local-global principle for the artinianness dimension ra (M), where ra (M) is the …

Results of Formal Local Cohomology Modules Page 1 BULLETIN of the MALAYSIAN
MATHEMATICAL SCIENCES SOCIETY http://math.usm.my/bulletin Bull. Malays. Math. Sci. Soc …

We introduce the concept CFA modules and their applications in investigation the
coassociated primes of local homology modules. The main result of this paper says that if M …