References
- Asadollahi, D., Naghipour, R. (2014). A new proof of Faltings’ local-global principle for the finiteness of local cohomology modules. Arch. Math. 103:451–459.
- Asadollahi, D., Naghipour, R. (2015). Faltings’ local-global principle for the finiteness of local cohomology modules. Commun. Algebra 43:953–958.
- Asgharzadeh, M., Tousi, M. (2010). Unified approach to local cohomology modules using Serre classes. Canada Math. Bull. 53:577–586.
- Bahmanpour, K., Naghipour, R., Sedghi, M. (2013). Minimaxness and cofiniteness properties of local cohomology modules. Commun. Algebra 41:2799–2814.
- Bahmanpour, K., Naghipour, R., Sedghi, M. (2014). Cofiniteness of local cohomology modules. Algebra Coll. 21:605–614.
- Bahmanpour, K., Naghipour, R., Sedghi, M. (2018). Modules cofinite and weakly cofinite with respect to an ideal. J. Algebra Appl. 16:1850056 (1–17).
- Brodmann, M. P., Lashgari, F. A. (2000). A finiteness result for associated primes of local cohomology modules. Proc. Am. Math. Soc. 128:2851–2853.
- Brodmann, M. P., Rotthaus, Ch., Sharp, R. Y. (2000). On annihilators and associated primes of local cohomology modules. J. Pure Appl. Algebra 153:197–227.
- Brodmann, M. P., Sharp, R. Y. (2013). Local Cohomology: An Algebraic Introduction with Geometric Applications. Cambridge Studies in Advanced Mathematics. Cambridge, UK: Cambridge University Press.
- Cuong, N. T., Goto, S., Hoang, N. V. (2015). On the cofiniteness of generalized local cohomology modules. Kyoto J. Math. 55:169–185.
- Divaani-Aazar, K., Mafi, A. (2005). Associated primes of local cohomology modules. Proc. Am. Math. Soc. 133:655–660.
- Doustimehr, M. R., Naghipour, R. (2014). On the generalization of Faltings’ annihilator theorem. Arch. Math. 102:15–23.
- Doustimehr, M. R., Naghipour, R. (2015). Faltings’ local-global principle for the minimaxness of local cohomology modules. Commun. Algebra 43:400–411.
- Faltings, G. (1978). Über die annulatoren lokalen kohomologiegruppen. Arch. Math. 30:473–476.
- Faltings, G. (1981). Der endlichkeitssatz in der lokalen kohomologie. Math. Ann. 255:45–56.
- Grothendieck, A. (1966). Local Cohomology. Notes by R. Hartshorne. Lecture Notes in Mathematics, Vol. 862. New York: Springer.
- Hartshorne, R. (1970). Affine duality and cofiniteness. Invent. Math. 9:145–164.
- Hoang, N. V. (2017). On Faltings’ local-global principle of generalized local cohomology modules. Kodai Math. J. 40:58–62.
- Huneke, C., Koh, J. (1991). Cofiniteness and vanishing of local cohomology modules. Math. Proc. Camb. Phil. Soc. 110:421–429.
- Matsumura, H. (1988). Commutative Ring Theory. Cambridge, UK: Cambridge University Press.
- Mehrvarz, A. A., Naghipour, R., Sedghi, M. (2015). Faltings’ local-global principle for the finiteness of local cohomology modules over Noetherian rings. Commun. Algebra 43:4860–4872.
- Melkersson, L. (1990). On asymptotic stability for sets of prime ideals connected with the powers of an ideal. Math. Proc. Camb. Philos. Soc. 107:267–271.
- Melkersson, L. (2005). Modules cofinite with respect to an ideal. J. Algebra 285:649–668.
- Quy, P. H. (2010). On the finiteness of associated primes of local cohomology modules. Proc. Am. Math. Soc. 138:1965–1968.
- Raghavan, K. N. (1994). Local-global principle for annihilation of local cohomology. Contemp. Math. 159:329–331.
- Robbins, H. (2012). Associated primes of local cohomology and S2-fication. J. Pure Appl. Algebra 216:519–523.
- Zöschinger, H. (1986). Minimax modules. J. Algebra 102:1–32.
- Zöschinger, H. (1988). Über die maximalbedingung für radikalvolle untermoduln. Hokkaido Math. J. 17:101–116.