Derived, coderived, and contraderived categories of locally presentable abelian categories. Journ. of Pure and Appl. Algebra 226 #4 (2022), 106883, 39 pp.
Go to publication

Compatible Poisson brackets associated with 2-splittings and Poisson commutative subalgebras of S(g), J. London Math. Soc., 103, no. 4 (2021), 1577--1595.
Go to publication

Ilya B. Shapirovsky. Satisfiability problems on sums of Kripke frames. https://arxiv.org/abs/2012.15347

Quasi-coherent torsion sheaves, the semiderived category, and the semitensor product: Semi-infinite algebraic geometry of quasi-coherent sheaves on ind-schemes. Electronic preprint arXiv:2104.05517 [math.AG], 180 pp.
Go to publication

Nilpotent orbits and mixed gradings of semisimple Lie algebras, Indagationes Mathematicae, 32 (2021)
Go to publication

Exact categories of topological vector spaces with linear topology. Electronic preprint arXiv:2012.15431 [math.CT], 70 pp.
Go to publication

An explicit self-dual construction of complete cotorsion pairs in the relative context. Electronic preprint arXiv:2006.01778 [math.RA], 54 pp. Accepted by Rendiconti Seminario Matematico Univ. Padova.
Go to publication

Unbounded derived categories of small and big modules: Is the natural functor fully faithful? Journ. of Pure and Appl. Algebra 225 #11 (2021), 106722, 23 pp.
Go to publication

Remarks on derived complete modules and complexes. Electronic preprint arXiv:2002.12331 [math.AC], 40 pp. Accepted by Mathematische Nachrichten.
Go to publication

Projective covers of flat contramodules. Internat. Math. Research Notices, DOI:10.1093/imrn/rnab202, published online as Advance Article in September 2021.
Go to publication

Topologically semisimple and topologically perfect topological rings. Electronic preprint arXiv:1909.12203 [math.CT], 69 pp.
Go to publication

Covers and direct limits: a contramodule-based approach. Math. Zeitschrift 299 (2021), #1-2, p.1-52.
Go to publication

Pseudo-dualizing complexes of bicomodules and pairs of t-structures. Electronic preprint arXiv:1907.03364 [math.CT], 42 pp., accepted by Applied Categorical Structures.
Go to publication

Contramodules over pro-perfect topological rings. Electronic preprint arXiv:1807.10671 [math.CT], 53 pp.
Go to publication

The tilting-cotilting correspondence. Internat. Math. Research Notices 2021, #1, p.189-274.
Go to publication

S. Kikot, I. Shapirovsky, and E. Zolin. Modal logics with transitive closure: completeness, decidability, filtration. In Advances in Modal Logic, volume 13, pages 369–388, 2020. ISBN 978-1-84890-341-8. https://arxiv.org/pdf/2011.02205.pdf

Casimir elements associated with Levi subalgebras of simple Lie algebras and their applications, Advances in Math., 374 (2020), Article 107390
Go to publication

Flat commutative ring epimorphisms of almost Krull dimension zero. Electronic preprint arXiv:2009.03389 [math.AC], 17 pp.
Go to publication

Takiff algebras with polynomial rings of symmetric invariants, Transformation Groups, 25, no.2 (2020), 609--624
Go to publication

Cofibrant generation of pure monomorphisms. Journal of Algebra 560 (2020), p.1297-1310.
Go to publication

Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties, Math. Zeitschrift, 295 (2020), 101-127.
Go to publication

Glorious pairs of roots and abelian ideals of a Borel subalgebra, J. Algebraic Combinatorics, 52 (2020), 505-525
Go to publication

Abelian ideals of a Borel subalgebra and root systems, II, Algebras and Representation Theory, 23, no.4 (2020), 1487-1498
Go to publication

Relative nonhomogeneous Koszul duality. Electronic preprint arXiv:1911.07402 [math.RA], 220 pp. To appear in the Frontiers in Mathematics book series of Birkhauser/Springer Switzerland.
Go to publication

Matlis category equivalences for a ring epimorphism. Journ. of Pure and Appl. Algebra 224 #10 (2020), 106398, 25 pp.
Go to publication

D.I. Saveliev and I.B. Shapirovsky. On modal logics of model-theoretic relations. Studia Logica}, 108(5):989--1017. ArXiv: https://arxiv.org/abs/1804.09810.
Go to publication

Flat ring epimorphisms of countable type. Glasgow Math. Journ. 62 (2020), #2, p.383-439.
Go to publication

Flat morphisms of finite presentation are very flat. Annali di Matematica Pura ed Applicata 199 (2020), #3, p.875-924.
Go to publication

Pseudo-dualizing complexes and pseudo-derived categories. Rendiconti Seminario Matematico Univ. Padova 143 (2020), p.153-225.
Go to publication

Smooth duality and co-contra correspondence. Journ. of Lie Theory 30 (2020), #1, p.85-144.
Go to publication

Semi-direct products involving Sp_{2n} or Spin_n with free algebras of symmetric invariants, In: M. Gorelik, V. Hinich, A. Melnikov (Eds.): ``Representations and Nilpotent Orbits of Lie Algebraic Systems: In Honour of the 75th Birthday of Tony Joseph"", Progress in Math. 330, Basel Birkhäuser 2019, 441-470.
Go to publication

D.V.Alekseevsky, I. Chrysikos, A. Finno, A. Raffero, Homogeneous 8-manifolds admitting invariant Spin(7)-structure, arXiv:1904.00643, 25 pages
Download (433.1 KB)

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

D.V. Alekseevsky, Conformal model of hypercolumns in V1 cortex and Moebius group. Application to the visual stability problem, 8p. Download (148.7 KB)
Download (202.7 KB)

Modal logics of finite direct powers of $\omega$ have the finite model property. arXiv: https://arxiv.org/abs/1903.04614, 2019.
Go to publication

Colimit-dense subcategories. Commentationes Mathematicae Universitatis Carolinae 60 (2019), #4, p.447-462.
Go to publication

Nilpotent subspaces and nilpotent orbits, J. Austral. Math. Soc., 106 (2019), 104-126
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

S-almost perfect commutative rings. Journ. of Algebra 532 (2019), p.323-356.
Go to publication

Infinity-tilting theory. Pacific Journ. of Math. 301 (2019), #1, p.297-334.
Go to publication

On strongly flat and weakly cotorsion modules. Math. Zeitschrift 291 (2019), #3-4, p.831-875.
Go to publication

Contramodules. Electronic preprint arXiv:1503.00991 [math.CT], 93 pp.
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

Average number of zeros and mixed symplectic volume of Finsler sets, Geometric and Functional Analysis 28 (6) (2018), pp.1517-1547, DOI: 10.1007/s00039-018-0464-9

DMITRI V. ALEKSEEVSKY, MASOUD GANJI, AND GERD SCHMALZ, CR-GEOMETRY AND SHEARFREE LORENTZIAN GEOMETRY, 11-22 in the book "Geometric Complex Analysiks. Springer , 2018
Download (266.2 KB)