References
- M. Aghapournahr and L. Melkersson, Finiteness properties of minimax and coatomic local cohomology modules, Arch. Math. (Basel) 94 (2010), no. 6, 519-528. https://doi.org/10.1007/s00013-010-0127-z
- K. Bahmanpour and R. Naghipour, On the cofiniteness of local cohomology modules, Proc. Amer. Math. Soc. 136 (2008), no. 7, 2359-2363. https://doi.org/10.1090/S0002-9939-08-09260-5
- M. P. Brodmann and A. L. Faghani, A finiteness result for associated primes of local cohomology modules, Proc. Amer. Math. Soc. 128 (2000), no. 10, 2851-2853. https://doi.org/10.1090/S0002-9939-00-05328-4
- M. P. Brodmann and R. Y. Sharp, Local cohomology: an algebraic introduction with geometric applications, Cambridge Studies in Advanced Mathematics, 60, Cambridge University Press, Cambridge, 1998. https://doi.org/10.1017/CBO9780511629204
- N. T. Cuong and T. T. Nam, The I-adic completion and local homology for Artinian modules, Math. Proc. Cambridge Philos. Soc. 131 (2001), no. 1, 61-72. https://doi.org/10.1017/S0305004100004771
- N. T. Cuong and T. T. Nam, A local homology theory for linearly compact modules, J. Algebra 319 (2008), no. 11, 4712-4737. https://doi.org/10.1016/j.jalgebra.2007.11.030
- K. Divaani-Aazar and A. Mafi, Associated primes of local cohomology modules, Proc. Amer. Math. Soc. 133 (2005), no. 3, 655-660. https://doi.org/10.1090/S0002-9939-04-07728-7
- M. R. Doustimehr and R. Naghipour, Faltings' local-global principle for the minimaxness of local cohomology modules, Comm. Algebra 43 (2015), no. 2, 400-411. https://doi.org/10.1080/00927872.2013.843094
- G. Faltings, Der Endlichkeitssatz in der lokalen Kohomologie, Math. Ann. 255 (1981), no. 1, 45-56. https://doi.org/10.1007/BF01450555
- A. Grothendieck, Cohomologie locale des faisceaux coherents et theoremes de Lefschetz locaux et globaux (SGA 2), North-Holland Publishing Co., Amsterdam, 1968.
- R. Hartshorne, Local cohomology, A seminar given by A. Grothendieck, Harvard University, Fall, 1961. Lecture Notes in Mathematics, No. 41, Springer-Verlag, Berlin, 1967.
- R. Hartshorne, Affine duality and cofiniteness, Invent. Math. 9 (1969/70), 145-164. https://doi.org/10.1007/BF01404554
- J. Herzog, Komplexe, Auflosungen und dualitat in der localen Algebra, Habilitationschrift Univ. Regensburg, 1970.
- C. Huneke, Problems on local cohomology, in Free resolutions in commutative algebra and algebraic geometry (Sundance, UT, 1990), 93-108, Res. Notes Math., 2, Jones and Bartlett, Boston, MA, 1992.
- C. U. Jensen, Les foncteurs derives de lim et leurs applications en theorie des modules, Lecture Notes in Mathematics, Vol. 254, Springer-Verlag, Berlin, 1972.
- M. Katzman, An example of an infinite set of associated primes of a local cohomology module, J. Algebra 252 (2002), no. 1, 161-166. https://doi.org/10.1016/S0021-8693(02)00032-7
- I. G. Macdonald, Duality over complete local rings, Topology 1 (1962), 213-235. https://doi.org/10.1016/0040-9383(62)90104-0
- T. T. Nam, Co-support and coartinian modules, Algebra Colloq. 15 (2008), no. 1, 83-96. https://doi.org/10.1142/S1005386708000084
- T. T. Nam, On the finiteness of co-associated primes of local homology modules, J. Math. Kyoto Univ. 48 (2008), no. 3, 521-527. https://doi.org/10.1215/kjm/1250271382
- T. T. Nam, A finiteness result for co-associated and associated primes of generalized local homology and cohomology modules, Comm. Algebra 37 (2009), no. 5, 1748-1757. https://doi.org/10.1080/00927870802216396
- T. T. Nam, Left-derived functors of the generalized I-adic completion and generalized local homology, Comm. Algebra 38 (2010), no. 2, 440-453. https://doi.org/10.1080/00927870802578043
- T. T. Nam, Generalized local homology for Artinian modules, Algebra Colloq. 19 (2012), Special Issue no. 1, 1205-1212. https://doi.org/10.1142/S1005386712000995
- T. T. Nam, Minimax modules, local homology and local cohomology, Internat. J. Math. 26 (2015), no. 12, 1550102, 16 pp. https://doi.org/10.1142/S0129167X15501025
- T. T. Nam and D. N. Yen, The finiteness of coassociated primes of generalized local homology modules, Math. Notes 97 (2015), no. 5-6, 738-744. https://doi.org/10.1134/S0001434615050089
- A. K. Singh, p-torsion elements in local cohomology modules, Math. Res. Lett. 7 (2000), no. 2-3, 165-176. https://doi.org/10.4310/MRL.2000.v7.n2.a3
- N. Suzuki, On the generalized local cohomology and its duality, J. Math. Kyoto Univ. 18 (1978), no. 1, 71-85.
- S. Yassemi, Coassociated primes, Comm. Algebra 23 (1995), no. 4, 1473-1498. https://doi.org/10.1080/00927879508825288
- D. N. Yen and T. T. Nam, Generalized local homology and duality, Internat. J. Algebra Comput. 29 (2019), no. 3, 581-601. https://doi.org/10.1142/S0218196719500152
- H. Zoschinger, Linear-kompakte Moduln uber noetherschen Ringen, Arch. Math. (Basel) 41 (1983), no. 2, 121-130. https://doi.org/10.1007/BF01196867
- H. Zoschinger, Minimax-moduln, J. Algebra 102 (1986), no. 1, 1-32. https://doi.org/10.1016/0021-8693(86)90125-0