참고문헌
- M. P. Brodmann and R. Y. Sharp, Local Cohomology: An Algebraic Introduction with Geometric Applications, Cambridge Univ. Press, Cambridge, 1998.
- F. Dehghani-Zadeh, Filter regular sequence and generalized local cohomology with respect to a pair of ideals, J. Math. Ext. 6 (2012), no. 4, 11-19.
- K. Divaani-Aazar and M. A. Esmkhani, Artinianness of local cohomology modules of ZD-modules, Comm. Algebra 33 (2005), no. 8, 2857-2863. https://doi.org/10.1081/AGB-200063983
- A. Grothendieck, Cohomologie Locale des Faisceaux Coherents et theoremes de Lefschetz Locaux et Globaux, SGA2, North-Holland, Amsterdam, 1968.
- R. Hartshorne, Affine duality and cofiniteness, Invent. Math. 9 (1970), 145-164. https://doi.org/10.1007/BF01404554
- L. Melkersson, Modules cofinite with respect to an ideal, J. Algebra 285 (2005), no. 2, 649-668. https://doi.org/10.1016/j.jalgebra.2004.08.037
- T. T. Nam, N. M. Tri, and N. V. Dong, Some properties of generalized local cohomology modules with respect to a pair of ideals, Internat. J. Algebra Comput. 24 (2014), no. 7, 1043-1054. https://doi.org/10.1142/S0218196714500453
- S. Payrovi and M. L. Parsa, Artinianness of local cohomology modules defined by a pair of ideals, Bull. Malays. Math. Sci. Soc. 35 (2012), no. 4, 877-883.
- J. Rotman, An Introduction to Homological Algebra, 2nd edition. Springer, 2009.
- R. Takahashi, Y. Yoshino, and T. Yoshizawa, Local cohomology based on a nonclosed support defined by a pair of ideals, J. Pure Appl. Algebra 213 (2009), no. 4, 582-600. https://doi.org/10.1016/j.jpaa.2008.09.008
- N. Zamani, Generalized local cohomology relative to (I, J), Southeast Asian Bull. Math. 35 (2011), no. 6, 1045-1050.
- T. Zink, Endlichkeitsbedingungen fur moduln uber einem Noetherschen ring, Math. Nachr. 164 (1974), 239-252.
- H. Zoschinger, Minimax-moduln, J. Algebra 102 (1986), no. 1, 1-32. https://doi.org/10.1016/0021-8693(86)90125-0
- H. Zoschinger, uberdie Maximalbedingung fur radikalvolle Untermoduln, Hokkaido Math. J. 17 (1988), no. 1, 101-116. https://doi.org/10.14492/hokmj/1381517790