An explicit self-dual construction of complete cotorsion pairs in the relative context. Electronic preprint arXiv:2006.01778 [math.RA], 53 pp. Go to publication
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. Go to publication
2020 year
Authors: Lieberman M., Positselski L., Rosický J., Vasey S.
Cofibrant generation of pure monomorphisms. Journal of Algebra 560 (2020), p.1297-1310. Go to publication
Covers and direct limits: a contramodule-based approach. Electronic preprint arXiv:1907.05537 [math.CT], 58 pp. Accepted by Mathematische Zeitschrift. Go to publication
Countably generated flat modules are quite flat. Electronic preprint arXiv:1907.00356 [math.AC], 17 pp. Accepted by Journal of Commutative Algebra. Go to publication
2019 year
Authors: Adámek J., Brooke-Taylor A., Campion T., Positselski L., Rosický J.
Colimit-dense subcategories. Commentationes Mathematicae Universitatis Carolinae 60 (2019), #4, p.447-462. Go to publication
Exactness of direct limits for abelian categories with an injective cogenerator. Journ. of Pure and Appl. Algebra 223 (2019), #8, p.3330-3340. Go to publication
Weakly curved A-infinity algebras over a topological local ring. Mémoires de la Société Mathématique de France 159 (2018), vi+206 pp. Go to publication
Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories. Journ. of Algebra 483 (2017), p.83-128. Go to publication
Coherent analogues of matrix factorizations and relative singularity categories. Algebra and Number Theory 9 (2015), #5, p.1159-1292. Go to publication
Artin-Tate motivic sheaves with finite coefficients over an algebraic variety. Proceedings of the London Math. Soc. 111 (2015), #6, p.1402-1430. Go to publication
Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence. Memoirs of the Amer. Math. Soc. 212 (2011), #996, vi+133 pp. Go to publication
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. Go to publication