Flat commutative ring epimorphisms of almost Krull dimension zero. Electronic preprint arXiv:2009.03389 [math.AC], 17 pp.
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An explicit construction of complete cotorsion pairs in the relative context. Electronic preprint arXiv:2006.01778 [math.RA], 52 pp.
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The inclusion of small modules into big ones: Is it fully faithful on unbounded derived categories? Electronic preprint arXiv:2003.11261 [math.CT], 23 pp.
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Remarks on derived complete modules and complexes. Electronic preprint arXiv:2002.12331 [math.AC], 34 pp.
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Cofibrant generation of pure monomorphisms. Journal of Algebra 560 (2020), p.1297-1310.
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Projective covers of flat contramodules. Electronic preprint arXiv:1911.11720 [math.RA], 29 pp.
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Relative nonhomogeneous Koszul duality. Electronic preprint arXiv:1911.07402 [math.RA], 195 pp.
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Topologically semisimple and topologically perfect topological rings. Electronic preprint arXiv:1909.12203 [math.CT], 66 pp.
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Covers and direct limits: A contramodule-based approach. Electronic preprint arXiv:1907.05537 [math.CT], 58 pp.
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Matlis category equivalences for a ring epimorphism. Journ. of Pure and Appl. Algebra 224 #10 (2020), 106398, 25 pp.
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Flat ring epimorphisms of countable type. Glasgow Math. Journ. 62 (2020), #2, p.383-439.
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Contramodules over pro-perfect topological rings. Electronic preprint arXiv:1807.10671 [math.CT], 51 pp.
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Flat morphisms of finite presentation are very flat. Annali di Matematica Pura ed Applicata 199 (2020), #3, p.875-924.
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Pseudo-dualizing complexes and pseudo-derived categories. Rendiconti Seminario Matematico Univ. Padova 143 (2020), p.153-225.
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Smooth duality and co-contra correspondence. Journ. of Lie Theory 30 (2020), #1, p.85-144.
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Pseudo-dualizing complexes of bicomodules and pairs of t-structures. Electronic preprint arXiv:1907.03364 [math.CT], 41 pp.
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Countably generated flat modules are quite flat. Electronic preprint arXiv:1907.00356 [math.AC], 17 pp. Accepted by Journal of Commutative Algebra.
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Colimit-dense subcategories. Commentationes Mathematicae Universitatis Carolinae 60 (2019), #4, p.447-462.
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Exactness of direct limits for abelian categories with an injective cogenerator. Journ. of Pure and Appl. Algebra 223 (2019), #8, p.3330-3340.
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S-almost perfect commutative rings. Journ. of Algebra 532 (2019), p.323-356.
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Infinity-tilting theory. Pacific Journ. of Math. 301 (2019), #1, p.297-334.
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The tilting-cotilting correspondence. Electronic preprint arXiv:1710.02230 [math.CT], 69 pp. Accepted by IMRN.
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On strongly flat and weakly cotorsion modules. Math. Zeitschrift 291 (2019), #3-4, p.831-875.
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Contramodules. Electronic preprint arXiv:1503.00991 [math.CT], 93 pp.
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Weakly curved A-infinity algebras over a topological local ring. Mémoires de la Société Mathématique de France 159 (2018), vi+206 pp.
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Nearly locally presentable categories. Theory and Appl. of Categories 33 (2018), #10, p.253-264.
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Abelian right perpendicular subcategories in module categories. Electronic preprint arXiv:1705.04960 [math.CT], 57 pp.
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Dedualizing complexes of bicomodules and MGM duality over coalgebras. Algebras and Represent. Theory 21 (2018), #4, p.737-767.
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Triangulated Matlis equivalence. Journ. of Algebra and its Appl. 17 #4 (2018), 1850067, 44 pp.
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Categorical Bockstein sequences. Appl. Categor. Struct. 26 (2018), #6, p.1211-1263.
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Contraadjusted modules, contramodules, and reduced cotorsion modules. Moscow Math. Journal 17 (2017), #3, p.385-455.
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Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories. Journ. of Algebra 483 (2017), p.83-128.
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Koszulity of cohomology = K(pi,1)-ness + quasi-formality. Journ. of Algebra 483 (2017), p.188-229.
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Coherent rings, fp-injective modules, dualizing complexes, and covariant Serre-Grothendieck duality. Selecta Math. New Ser. 23 (2017), #2, p.1279-1307.
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Contraherent cosheaves. Electronic preprint arXiv:1209.2995 [math.CT], 257 pp.
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Noncommutative Kummer theory. Electronic preprint arXiv:1606.03880 [math.KT], 7 pp.
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Dedualizing complexes and MGM duality. Journ. of Pure and Appl. Algebra 220 (2016), #12, p.3866-3909.
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Coherent analogues of matrix factorizations and relative singularity categories. Algebra and Number Theory 9 (2015), #5, p.1159-1292.
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Artin-Tate motivic sheaves with finite coefficients over an algebraic variety. Proceedings of the London Math. Soc. 111 (2015), #6, p.1402-1430.
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Galois cohomology of a number field is Koszul. Journ. of Number Theory 145 (2014), p.126-152.
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Hochschild (co)homology of the second kind I. Transactions of the Amer. Math. Soc. 364 (2012), #10, p.5311-5368.
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The algebra of closed forms in a disk is Koszul. Funct. Anal. Appl. 46 (2012), #3, p.218-224.
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Mixed Artin-Tate motives with finite coefficients. Moscow Math. Journal 11 (2011), #2, p.317-402.
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Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence. Memoirs of the Amer. Math. Soc. 212 (2011), #996, vi+133 pp.
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Homological algebra of semimodules and semicontramodules: Semi-infinite homological algebra of associative algebraic structures. Appendix C in collaboration with D.Rumynin; Appendix D in collaboration with S.Arkhipov. Monografie Matematyczne, vol.70, Birkhauser/Springer Basel, 2010. xxiv+349 pp.
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On semi-infinite cohomology of finite-dimensional graded algebras. Compositio Math. 146 (2010), #2, p.480-496.
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Galois cohomology of certain field extensions and the divisible case of Milnor-Kato conjecture. K-Theory 36 (2005), #1-2, p.33-50.
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Koszul property and Bogomolov`s conjecture. Internat. Math. Research Notices 2005, #31, p.1901-1936.
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Quadratic Algebras. University Lecture Series 37. American Mathematical Society, Providence, RI, 2005. xii+159 pp.
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Gluing of abelian categories and differential operators on the basic affine space. Journ. Inst. Math. Jussieu 1 (2002), #4, p. 543-557.
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