1 |
M. Aghapournahr, Cofiniteness of certain local cohomology modules for small dimensions, preprint.
|
2 |
M. Aghapournahr and K. Bahmanpour, Cofiniteness of weakly Laskerian local coho- mology modules, Bull. Math. Soc. Sci. Math. Roumanie (N.S) 57(105) (2014), no. 4, 347-356.
|
3 |
M. Aghapournahr, L. Melkersson, A natural map in local cohomology, Ark. Mat. 48 (2010), no. 2, 243-251.
DOI
|
4 |
J. Asadollahi, K. Khashyarmanesh, and Sh. Salarian, A generalization of the cofiniteness problem in local cohomology modules, J. Aust. Math. Soc. 75 (2003), no. 3, 313-324.
DOI
|
5 |
K. Bahmanpour, On the category of weakly Laskerian cofinite modules, Math. Scand. 115 (2014), no. 1, 62-68.
DOI
|
6 |
K. Bahmanpour and R. Naghipour, On the cofiniteness of local cohomology modules, Proc. Amer. Math. Soc. 136 (2008), no. 7, 2359-2363.
DOI
|
7 |
K. Bahmanpour and R. Naghipour, Cofiniteness of local cohomology modules for ideals of small dimension, J. Algebra 321 (2009), no. 7, 1997-2011.
DOI
|
8 |
K. Bahmanpour, R. Naghipour, and M. Sedghi, On the category of cofinite modules which is Abelian, Proc. Amer. Math. Soc. 142 (2014), no. 4, 1101-1107.
DOI
|
9 |
R. Belshoff, S. P. Slattery, and C. Wickham, The local cohomology modules of Matlis reflexive modules are almost cofinite, Proc. Amer. Math. Soc. 124 (1996), no. 9, 2649- 2654.
DOI
|
10 |
R. Belshoff, S. P. Slattery, and C. Wickham, Finiteness properties of Matlis reflexive modules, Comm. Algebra 24 (1996), no. 4, 1371-1376.
DOI
|
11 |
M. H. Bijan-Zadeh, Torsion theories and local cohomology over commutative Noetherian ring, J. Lond. Math. Soc. (2) 19 (1979), no. 3, 402-410.
|
12 |
M. H. Bijan-Zadeh, A common generalization of local cohomology theories, Glasgow Math. J. 21 (1980), no. 2, 173-181.
DOI
|
13 |
M. H. Bijan-Zadeh, On the Artinian property of certain general local cohomology, J. Lond. Math. Soc. (2) 35 (1985), no. 3, 399-403.
|
14 |
M. P. Brodmann and A. Lashgari, A finiteness result for associated primes of local cohomology modules, Proc. Amer. Math. Soc. 128 (2000), no. 10, 2851-2853.
DOI
|
15 |
M. P. Brodmann and R. Y. Sharp, Local Cohomology: An algebraic introduction with geometric applications, Cambridge. Univ. Press, 1998.
|
16 |
W. Bruns and J. Herzog, Cohen Macaulay Rings, Cambridge Studies in Advanced Mathematics, Vol. 39, Cambridge Univ. Press, Cambridge, UK, 1993.
|
17 |
D. Delfino and T. Marley, Cofinite modules and local cohomology, J. Pure Appl. Algebra 121 (1997), no. 1, 45-52.
DOI
|
18 |
M. T. Dibaei and S. Yassemi, Associated primes and cofiniteness of local cohomology modules, Manuscripta Math. 117 (2005), no. 2, 199-205.
DOI
|
19 |
M. T. Dibaei and S. Yassemi, Associated primes of the local cohomology modules, Abelian groups, rings, modules and homological algebra, 51-58, Chapman and Hall/CRC, 2006.
|
20 |
K. Divaani-Aazar and A. Mafi, Associated primes of local cohomology modules, Proc. Amer. Math. Soc. 133 (2005), no. 3, 655-660.
DOI
|
21 |
A. Grothendieck, Cohomologie locale des faisceaux coherents et theoremes de Lefschetz locaux et globaux (SGA2), North-Holland, Amsterdam, 1968.
|
22 |
R. Hartshorne, Affine duality and cofiniteness, Invent. Math. 9 (1970), 145-164.
DOI
|
23 |
P. Hung Quy, On the finiteness of associated primes of local cohomology modules, Proc. Amer. Math. Soc. 138 (2010), no. 6, 1965-1968.
DOI
|
24 |
K. Khashyarmanesh and Sh. Salarian, On the associated primes of local cohomology modules, Comm. Algebra 27 (1999), no. 12, 6191-6198.
DOI
|
25 |
A. Mafi and H. Saremi, On the cofiniteness properties of certain general local cohomology modules, Acta Sci. Math. (Szeged) 74 (2008), no. 3-4, 501-507.
|
26 |
T. Marley, The associated primes of local cohomology modules over rings of small dimension, Manuscripta Math. 104 (2001), no. 4, 519-525.
DOI
|
27 |
T. Marley and J. C. Vassilev, Cofiniteness and associated primes of local cohomology modules, J. Algebra 256 (2002), no. 1, 180-193.
DOI
|
28 |
H. Matsumura, Commutative Ring Theory, Cambridge Univ. Press, Cambridge, UK, 1986.
|
29 |
L. Melkersson, Some applications of a criterion for artinianness of a module, J. Pure Appl. Algebra 101 (1995), no. 3, 291-303.
DOI
|
30 |
L. Melkersson, Properties of cofinite modules and applications to local cohomology, Math. Proc. Cambridge Philos. Soc. 125 (1999), no. 3, 417-423.
DOI
|
31 |
L. Melkersson, Modules cofinite with respect to an ideal, J. Algebra 285 (2005), no. 2, 649-668.
DOI
|
32 |
T. Yoshizawa, Subcategories of extension modules by Serre subcategories, Proc. Amer. Math. Soc. 140 (2012), no. 7, 2293-2305.
DOI
|
33 |
H. Zoschinger, Minimax Moduln, J. Algebra 102 (1986), no. 1, 1-32.
DOI
|