Flat ring epimorphisms of countable type. Electronic preprint arXiv:1808.00937 [math.RA], 63 pp.
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Contramodules over pro-perfect topological rings, the covering property in categorical tilting theory, and homological ring epimorphisms. Electronic preprint arXiv:1807.10671 [math.CT], 84 pp.
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Exactness of direct limits for abelian categories with an injective cogenerator. Electronic preprint arXiv:1805.05156, 13 pp. Accepted by Journ. of Pure and Appl. Algebra.
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S-almost perfect commutative rings. Electronic preprint arXiv:1801.04820 [math.AC], 30 pp.
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Infinity-tilting theory. Electronic preprint arXiv:1711.06169 [math.CT], 34 pp. Accepted by Pacific Journ. of Math.
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Nearly locally presentable categories. Theory and Appl. of Categories 33 (2018), #10, p.253-264.
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On strongly flat and weakly cotorsion modules. Electronic preprint arXiv:1708.06833 [math.AC], 51 pp. Accepted by Mathematische Zeitschrift.
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Flat morphisms of finite presentation are very flat. Electronic preprint arXiv:1708.00846 [math.AC], 55 pp.
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Abelian right perpendicular subcategories in module categories. Electronic preprint arXiv:1705.04960 [math.CT], 57 pp.
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Pseudo-dualizing complexes and pseudo-derived categories. Electronic preprint arXiv:1703.04266 [math.CT], 59 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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Weakly curved A-infinity algebras over a topological local ring. Electronic preprint arXiv:1202.2697 [math.CT], 186 pp.
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The tilting-cotilting correspondence. Electronic preprint arXiv:1710.02230 [math.CT], 66 pp.
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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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Smooth duality and co-contra correspondence. Electronic preprint arXiv:1609.04597 [math.CT], 28 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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Contramodules. Electronic preprint arXiv:1503.00991 [math.CT], 82 pp.
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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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Mixed Tate motives with finite coefficients and conjectures about the Galois groups of fields. Abstracts of conference talks, "Algebraische K-theorie", Tagungsbericht 39/1999, September-October 1999, Oberwolfach, Germany, p.8-9.
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Relation between the Hilbert series of quadratic dual algebras does not imply Koszulity. Funct. Anal. Appl. 29 (1995) #3, p.213-217.
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All strictly exceptional collections in D^b_{coh}(P^m) consist of vector bundles. Electronic preprint arXiv:alg-geom/9507014, 6 pp.
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Koszul duality and Galois cohomology. Math. Research Letters 2 (1995), #6, p.771-781.
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Nonhomogeneous quadratic duality and curvature. Funct. Anal. Appl. 27 (1993) #3, p.197-204.
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Local Pluecker formulas for a semisimple Lie group. Funct. Anal. Appl. 25 (1991) #4, p. 291-292.
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