Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A local homology theory for linearly compact modules   We introduce a local homology theory for linearly compact modules which is in
some sense dual to the local cohomology theory of A. Grothendieck. Some basic
properties such as the noetherianness, the vanishing and non-vanishing of local
homology modules of linearly compact modules are proved. A duality theory
between local homology and local cohomology modules of linearly compact modules
is developed by using Matlis duality and Macdonald duality. As consequences of
the duality theorem we obtain some generalizations of well-known results in the
theory of local cohomology for semi-discrete linearly compact modules.

12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph