[1] L. Angeleri Hu¨gel, On the abundance of silting modules, Surveys in representation theory of algebras, 1–23, Contemp. Math. 716, Amer. Math. Soc., Providence, RI, 2018.
[2] L. Angeleri Hu¨gel; F. Marks; J. Sˇtˇov´ıcˇek; R. Takahashi; J. Vito´ria, Flat ring epimorphisms and universal localisations of commutative rings, arXiv:1807.01982v2.
[3] S. Asai; C. Pfeifer, Wide subcategories and lattices of torsion classes, arXiv:1905.01148v1.
[4] D. J. Benson; J. F. Carlson; J. Rickard, Thick subcategories of the stable module category, Fund. Math. 153 (1997), no. 1, 59–80.
[5] D. J. Benson; S. B. Iyengar; H. Krause, Stratifying triangulated categories, J. Topol. 4 (2011), no. 3, 641–666.
[6] D. J. Benson; S. B. Iyengar; H. Krause, Stratifying modular representations of finite groups, Ann. of Math. (2) 174 (2011), no. 3, 1643–1684.
[7] K. Bahmanpour; R. Naghipour; M. Sedghi, On the category of cofinite modules which is abelian, Proc. Amer. Math. Soc. 142 (2014), no. 4, 1101–1107.
[8] M. Bo¨kstedt; A. Neeman, Homotopy limits in triangulated categories, Compositio Math. 86 (1993), no. 2, 209–234.
[9] M. Brodmann; R. Y. Sharp, Local cohomology: an algebraic introduction with geometric applications, Cambridge University Press, (1998).
[10] K. Bru¨ning, Thick subcategories of the derived category of a hereditary algebra, Homology Homotopy Appl. 9 (2007), no. 2, 165–176.
[11] W. Bruns; J. Herzog, Cohen–Macaulay rings, revised edition, Cambridge Studies in Advanced Mathematics 39, Cambridge University Press, Cambridge, 1998.
[12] A. B. Buan; R. J. Marsh, A category of wide subcategories, Int. Math. Res. Not. IMRN (to appear), arXiv:1802.03812v1.
[13] X.-W. Chen; S. B. Iyengar, Support and injective resolutions of complexes over commutative rings, Homology Homotopy Appl. 12 (2010), no. 1, 39–44.
[14] I. Dell’Ambrogio, Tensor triangular geometry and KK-theory, J. Homotopy Relat. Struct. 5 (2010), no. 1, 319–358.
[15] I. Dell’Ambrogio, Localizing subcategories in the Bootstrap category of separable C∗-algebras, J. K-Theory 8 (2011), no. 3, 493–505.
[16] K. Divaani-Aazar; H. Faridian; M. Tousi, Stable under specialization sets and cofiniteness, J. Algebra Appl. 18 (2019), no. 1, 1950015, 22 pp.
[17] E. E. Enochs; O. M. G. Jenda, Relative homological algebra, De Gruyter Expositions in Mathematics 30, Walter de Gruyter & Co., Berlin, 2000.
[18] H.-B. Foxby, Bounded complexes of flat modules, J. Pure Appl. Algebra 15 (1979), no. 2, 149–172.
[19] H.-B. Foxby; S. Iyengar, Depth and amplitude for unbounded complexes, Commutative algebra (Grenoble/Lyon, 2001), 119–137, Contemp. Math. 331, Amer. Math. Soc., Providence, RI, 2003.
[20] P. Gabriel, Des cat´egories ab´elienne, Bull. Soc. Math. France 90 (1962), 323–448.
[21] P. Gabriel; J. De La Pen˜a, Quotients of representation-finite algebras, Comm. Algebra 15 (1987), no. 1-2, 279–307.
[22] G. A. Garkusha, Classification of finite localizations of quasi-coherent sheaves, Algebra i Analiz 21 (2009), no. 3, 93–129.
[23] G. A. Garkusha; M. Prest, Classifying Serre subcategories of finitely presented modules, Proc. Amer. Math. Soc. 136 (2008), no. 3, 761–770.
[24] G. A. Garkusha; M. Prest, Reconstructing projective schemes from Serre subcategories, J. Algebra 319 (2008), no. 3, 1132–1153.
[25] W. Geigle; H. Lenzing, Perpendicular categories with applications to representations and sheaves, J. Algebra 144 (1991), no. 2, 273–343.
[26] R. Hartshorne, Affine duality and cofiniteness, Invent. Math. 9 (1969/70), 145–164.
[27] I. Herzog, The Ziegler spectrum of a locally coherent Grothendieck category, London Math. Soc. (3) 74 (1997), no. 3, 503–558.
[28] M. J. Hopkins; J. H. Smith, Nilpotence and stable homotopy theory, II, Ann. of Math. (2) 148 (1998), no. 1, 1–49.
[29] G. Jasso, n-Abelian and n-exact categories, Math. Z 283 (2016), no. 3-4, 703–759.
[30] R. Kanda, Classifying Serre subcategories via atom spectrum, Adv. Math. 231 (2012), no. 3-4, 1592–1588.
[31] H. Krause, Smashing subcategories and the telescope conjecture - an algebraic approach, Invent. Math. 139 (2000), 99–133.
[32] H. Krause, Thick subcategories of modules over commutative Noetherian rings, Math. Ann. 340 (2008), 733–747.
[33] H. Krause, Localization theory for triangulated categories, Triangulated categories, London Math. Soc. Lecture Note Ser. 375, 161–235, Cambridge Univ. Press, 2010.
[34] J. Lipman, Lectures on local cohomology and duality, in Local Cohomology and Its Applications, Lecture Notes in Pure and Appl. Math., vol. 226, Dekker, New York, 2002, 39–89.
[35] F. Marks; J. Sˇtˇov´ıcˇek, Torsion classes, wide subcategories and localisations, Bull. Lond. Math. Soc. 49 (2017), no. 3, 405–416.
[36] H. Matsui; T. T. Nam; R. Takahashi; N. M. Tri; D. N. Yen, Cohomological dimensions of specialization-closed subsets and subcategories of modules, Preprint (2019), arXiv:1912.05776v1.
[37] H. Matsumura, Commutative ring theory, Translated from the Japanese by M. Reid, Second edition, Cambridge Studies in Advanced Mathematics 8, Cambridge University Press, Cambridge, 1989.
[38] L. Melkersson, Modules cofinite with respect to an ideal, J. Algebra 285 (2005), no. 2, 649–668.
[39] L. Melkersson, Cofiniteness with respect to ideals of dimension one, J. Algebra 372 (2012), 459–462.
[40] T. Nakamura; Y. Yoshino, A local duality principle in derived categories of commutative Noetherian rings, J. Pure Appl. Algebra 222 (2018), no. 9, 2580–2595.
[41] T. Nakamura; Y. Yoshino, Localization functors and cosupport in derived categories of commutative Noetherian rings, Pacific J. Math. 296 (2018), no. 2, 405–435.
[42] A. Neeman, The chromatic tower for D(R), With an appendix by Marcel B¨okstedt, Topology 31 (1992), no. 3, 519–532.
[43] A. Neeman, Colocalizing subcategories of D(R), J. reine angew. Math. 653 (2011), 221–243.
[44] P. Nikola´s; M. Saor´ın; A Zvonareva, Silting theory in triangulated categories with coproducts, J. Pure Appl. Algebra 223 (2019), 2273–2319.
[45] A. Ooishi, Matlis duality and width of a module, Hiroshima Math. J. 6 (1976), 573–587.
[46] A. Schofield, Representations of rings over skew-fields, Cambridge University Press, 1985.
[47] R. Takahashi, Classifying subcategories of modules over a commutative noetherian ring, J. Lond. Math. Soc. (2) 78 (2008), no. 3, 767–782.
[48] R. Takahashi, On localizing subcategories of derived categories, J. Math. Kyoto Univ. 49 (2009), no. 4, 771–783.
[49] T. Yurikusa, Wide subcategories are semistable, Doc. Math. 23 (2018), 35–47.