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Positsel'skii, Leonid Efimovich

Total publications: 82 (82)
in MathSciNet: 64 (64)
in zbMATH: 64 (64)
in Web of Science: 58 (58)
in Scopus: 59 (59)
Cited articles: 52
Citations: 710
Presentations: 14

Number of views:
This page:7454
Abstract pages:3647
Full texts:1210
References:348
E-mail:

https://www.mathnet.ru/eng/person23827
List of publications on Google Scholar
https://zbmath.org/authors/ai:positselski.leonid
https://mathscinet.ams.org/mathscinet/MRAuthorID/323886

Full list of scientific publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2024
1. L. Positselski, J. Šťovíček, Flat quasi-coherent sheaves as directed colimits, and quasi-coherent cotorsion periodicity, 2024 , 31 pp., accepted by Algebras and Represent. Theory in October 2024, arXiv: 2212.09639  adsnasa
2. L. Positselski, Contraherent cosheaves on schemes, 2024 , 450 pp., arXiv: 1209.2995  adsnasa
3. L. Positselski, Resolutions as directed colimits, 2024 , 37 pp., arXiv: 2312.07197  crossref  adsnasa
4. L. Positselski, Philosophy of contraherent cosheaves, 2024 , 65 pp., arXiv: 2311.14179  adsnasa
5. L. Positselski, Generalized periodicity theorems, 2024 , 38 pp., arXiv: 2301.00708  adsnasa
6. S. Bazzoni, M. Hrbek, L. Positselski, “Fp-projective periodicity”, Journ. of Pure and Appl. Algebra, 228:3 (2024), 107497 , 24 pp., arXiv: 2212.02300  crossref  mathscinet  zmath  adsnasa  isi  scopus 5
7. L. Positselski, The categories of corings and coalgebras over a ring are locally countably presentable, 2024 , 24 pp., arXiv: 2401.02928  adsnasa
8. L. Positselski, J. Šťovíček, Contraderived categories of CDG-modules, 2024 , 66 pp., arXiv: 2401.07021  adsnasa
9. L. Positselski, “Local, colocal, and antilocal properties of modules and complexes over commutative rings”, Journal of Algebra, 646 (2024), 100–155 , arXiv: 2212.10163  crossref  mathscinet  zmath  adsnasa  isi  scopus
10. L. Positselski, J. Šťovíček, “Topologically semiperfect topological rings”, Algebras and Represent. Theory, 27:1 (2024), 245–278 , arXiv: 2201.03488  crossref  mathscinet  zmath  adsnasa  isi  scopus
11. L. Positselski, “A bounded below, noncontractible, acyclic complex of projective modules”, Acta Mathematica Hungarica, 172:2 (2024), 324–345 , arXiv: 2305.11119  crossref  mathscinet  zmath  adsnasa  isi  scopus
12. L. Positselski, “Exact categories of topological vector spaces with linear topology”, Moscow Math. Journ., 24:2 (2024), 219–286 , arXiv: 2012.15431  crossref  mathscinet  zmath  adsnasa  isi  scopus
13. L. Positselski, Roos axiom holds for quasi-coherent sheaves, 2024 , 13 pp., arXiv: 2407.13651  adsnasa
14. L. Positselski, “Locally coherent exact categories”, Appl. Categorical Struct., 32:4 (2024), 20 , 30 pp., arXiv: 2311.02418  crossref  mathscinet  zmath  adsnasa  isi  scopus 1
15. L. Positselski, J. Šťovíček, “Coderived and contraderived categories of locally presentable abelian DG-categories”, Mathematische Zeitschrift, 308:1 (2024), 14 , 70 pp., arXiv: 2210.08237  crossref  mathscinet  zmath  adsnasa  isi  scopus 1
16. L. Positselski, A contramodule generalization of Neeman's flat and projective module theorem, 2024 , 20 pp., arXiv: 2408.10928  adsnasa
17. L. Positselski, “Notes on limits of accessible categories”, Cahiers de topologie et géométrie différentielle catégoriques, LXV:4 (2024), 390–437 cahierstgdc.com/index.php/volume-lxv-2024/#4, arXiv: 2310.16773  mathscinet  zmath  adsnasa
18. L. Positselski, “Flat comodules and contramodules as directed colimits, and cotorsion periodicity”, Journal of Homotopy and Related Structures, 19:4 (2024), 635–678 , arXiv: 2306.02734  crossref  mathscinet  zmath  adsnasa  isi  scopus

   2023
19. L. Positselski, Homological full-and-faithfulness of comodule inclusion and contramodule forgetful functors, 2023 , 43 pp., arXiv: 2301.09561  adsnasa
20. L. Positselski, “Remarks on derived complete modules and complexes”, Mathematische Nachrichten, 296:2 (2023), 811–839 , arXiv: 2002.12331  crossref  mathscinet  zmath  adsnasa  isi  scopus 2
21. L. Positselski, “Flat commutative ring epimorphisms of almost Krull dimension zero”, J. of Algebra and its Appl., 22:3 (2023), 2350060 , 18 pp., arXiv: 2009.03389  crossref  mathscinet  zmath  adsnasa  isi  scopus 1
22. L. Positselski, “An explicit self-dual construction of complete cotorsion pairs in the relative context”, Rendiconti Seminario Matematico Univ. Padova, 149 (2023), 191–253 , arXiv: 2006.01778  crossref  mathscinet  zmath  adsnasa  isi  scopus 3
23. L. Positselski, Comodules and contramodules over coalgebras associated with locally finite categories, 2023 , 35 pp., arXiv: 2307.13358  adsnasa
24. L. Positselski, “Differential graded Koszul duality: An introductory survey”, Bulletin of the London Math. Society, 55:4 (2023), 1551–1640 , arXiv: 2207.07063  crossref  mathscinet  zmath  adsnasa  isi  scopus 7
25. L. Positselski, Tensor-Hom formalism for modules over nonunital rings, 2023 , 41 pp., arXiv: 2308.16090  adsnasa
26. L. Positselski, Semi-infinite algebraic geometry of quasi-coherent sheaves on ind-schemes: Quasi-coherent torsion sheaves, the semiderived category, and the semitensor product, Birkhäuser/Springer Nature, Cham, Switzerland, 2023 , xix+216 pp.  crossref  mathscinet  zmath  adsnasa  scopus 1
27. L. Positselski, Semialgebras associated with nonunital algebras and $k$-linear subcategories, 2023 , 60 pp., arXiv: 2310.05550  adsnasa

   2022
28. L. Positselski, Exact DG-categories and fully faithful triangulated inclusion functors, 2022 , 151 pp., arXiv: 2110.08237  adsnasa
29. L. Positselski, J. Šťovíček, “Derived, coderived, and contraderived categories of locally presentable abelian categories”, Journ. of Pure and Appl. Algebra, 226:4 (2022), 106883 , 39 pp., arXiv: 2101.10797  crossref  mathscinet  zmath  adsnasa  isi  scopus 8
30. L. Positselski, “Contramodules over pro-perfect topological rings”, Forum Mathematicum, 34:1 (2022), 1–39 , arXiv: 1807.10671  crossref  mathscinet  zmath  adsnasa  isi  scopus 9
31. L. Positselski, “Pseudo-dualizing complexes of bicomodules and pairs of t-structures”, Appl. Categor. Struct., 30:2 (2022), 379–416 , arXiv: 1907.03364  crossref  mathscinet  zmath  adsnasa  isi  scopus
32. L. Positselski, P. Příhoda, J. Trlifaj, “Closure properties of $\varinjlim\mathcal C$”, Journ. of Algebra, 606 (2022), 30–103 , arXiv: 2110.13105  crossref  mathscinet  zmath  adsnasa  isi  scopus 7
33. M. Hrbek, L. Positselski, A. Slávik, “Countably generated flat modules are quite flat”, Journ. of Commutative Algebra, 14:1 (2022), 37-54 , arXiv: 1907.00356  crossref  mathscinet  zmath  adsnasa  isi  scopus 1
34. L. Positselski, J. Šťovíček, “Topologically semisimple and topologically perfect topological rings”, Publicacions Matemàtiques, 66:2 (2022), 457–540 mat.uab.cat/pubmat/volums/navegador, arXiv: 1909.12203  crossref  mathscinet  zmath  adsnasa  isi  scopus 5
35. S. Bazzoni, L. Positselski, J. Šťovíček, “Projective covers of flat contramodules”, Internat. Math. Research Notices, 2022:24 (2022), 19527–19564 , arXiv: 1911.11720  crossref  mathscinet  zmath  adsnasa  isi  scopus 6

   2021
36. L. Positselski, J. Šťovíček, “The tilting-cotilting correspondence”, Internat. Math. Research Notices, 2021:1 (2021), 189–274 , arXiv: 1710.02230  crossref  mathscinet  zmath  adsnasa  isi  scopus 21
37. L. Positselski, O. M. Schnürer, “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., arXiv: 2003.11261  crossref  mathscinet  zmath  adsnasa  isi  scopus 4
38. S. Bazzoni, L. Positselski, “Covers and direct limits: a contramodule-based approach”, Mathematische Zeitschrift, 299:1–2 (2021), 1–52 , arXiv: 1907.05537  crossref  mathscinet  zmath  adsnasa  isi  scopus 8
39. L. Positselski, Relative nonhomogeneous Koszul duality, Frontiers in Mathematics, Birkhäuser/Springer Nature, Cham, Switzerland, 2021 , xxix+278 pp.  crossref  mathscinet  zmath  adsnasa  scopus 4
40. L. Positselski, “Contramodules”, Confluentes Mathematici, 13:2 (2021), 93–182 , arXiv: 1503.00991  crossref  mathscinet  adsnasa  scopus 11

   2020
41. L. Positselski, “Smooth duality and co-contra correspondence”, Journal of Lie Theory, 30:1 (2020), 85–144 www.heldermann.de/JLT/JLT30/JLT301/jlt30007.html, arXiv: 1609.04597  mathscinet  zmath  adsnasa  isi  scopus
42. L. Positselski, “Flat ring epimorphisms of countable type”, Glasgow Math. Journ., 62:2 (2020), 383–439 , arXiv: 1808.00937  crossref  mathscinet  zmath  adsnasa  isi  scopus 9
43. S. Bazzoni, L. Positselski, “Matlis category equivalences for a ring epimorphism”, Journ. of Pure and Appl. Algebra, 224:10 (2020), 106398 , 25 pp., arXiv: 1907.04973  crossref  mathscinet  zmath  adsnasa  isi  scopus 11
44. L. Positselski, A. Slávik, “Flat morphisms of finite presentation are very flat”, Annali di Matematica Pura ed Applicata, 199:3 (2020), 875–924 , arXiv: 1708.00846  crossref  mathscinet  zmath  adsnasa  isi  scopus 6
45. L. Positselski, “Pseudo-dualizing complexes and pseudo-derived categories”, Rendiconti Seminario Matematico Univ. Padova, 143 (2020), 153–225 , arXiv: 1703.04266  crossref  mathscinet  zmath  adsnasa  isi  scopus 7
46. M. Lieberman, L. Positselski, J. Rosický, S. Vasey, “Cofibrant generation of pure monomorphisms”, Journal of Algebra, 560 (2020), 1297–1310 , arXiv: 2001.02062  crossref  mathscinet  zmath  adsnasa  isi  scopus 4

   2019
47. L. Positselski, J. Šťovíček, “Exactness of direct limits for abelian categories with an injective cogenerator”, Journ. of Pure and Appl. Algebra, 223:8 (2019), 3330–3340 , arXiv: 1805.05156  crossref  mathscinet  zmath  adsnasa  isi  scopus 3
48. L. Positselski, A. Slávik, “On strongly flat and weakly cotorsion modules”, Mathematische Zeitschrift, 291:3-4 (2019), 831–875 , arXiv: 1708.06833  crossref  mathscinet  zmath  adsnasa  isi  scopus 9
49. S. Bazzoni, L. Positselski, “$S$-almost perfect commutative rings”, Journ. of Algebra, 532 (2019), 323–356 , arXiv: 1801.04820  crossref  mathscinet  zmath  adsnasa  isi  scopus 15
50. L. Positselski, J. Šťovíček, “∞-tilting theory”, Pacific Journ. of Math., 301:1 (2019), 297–334 , arXiv: 1711.06169  crossref  mathscinet  zmath  adsnasa  isi  scopus 13
51. J. Adámek, A. Brooke-Taylor, T. Campion, L. Positselski, J. Rosický, “Colimit-dense subcategories”, Commentationes Mathematicae Universitatis Carolinae, 60:4 (2019), 447–462 cmuc.karlin.mff.cuni.cz/cmuc1904/cmuc1904_mw.htm, arXiv: 1812.10649  crossref  mathscinet  zmath  adsnasa  isi  scopus

   2018
52. L. Positselski, Abelian right perpendicular subcategories in module categories, 2018 , 57 pp., arXiv: 1705.04960  adsnasa
53. L. Positselski, “Triangulated Matlis equivalence”, J. of Algebra and its Appl., 17:4 (2018), 1850067 , 44 pp., arXiv: 1605.08018  crossref  mathscinet  zmath  adsnasa  isi  scopus 14
54. L. Positselski, J. Rosický, “Nearly locally presentable categories”, Theory and Appl. of Categories, 33:10 (2018), 253–264 www.tac.mta.ca/tac/volumes/33/10/33-10abs.html, arXiv: 1710.10476  mathscinet  zmath  adsnasa  isi  scopus
55. L. Positselski, “Dedualizing complexes of bicomodules and MGM duality over coalgebras”, Algebras and Represent. Theory, 21:4 (2018), 737–767 , arXiv: 1607.03066  crossref  mathscinet  zmath  adsnasa  isi  scopus 3
56. L. Positselski, “Categorical Bockstein sequences”, Appl. Categor. Struct., 26:6 (2018), 1211–1263 , arXiv: 1404.5011  crossref  mathscinet  zmath  adsnasa  isi  scopus
57. L. Positselski, “Weakly curved A-infinity algebras over a topological local ring”, Mémoires de la Société Mathématique de France, 159 (2018) , vi+206 pp. smf.emath.fr/publications/weakly-curved-ainfty-algebras-over-topological-local-ring, arXiv: 1202.2697  crossref  mathscinet  zmath  adsnasa 9

   2017
58. L. Positselski, “Coherent rings, fp-injective modules, dualizing complexes, and covariant Serre–Grothendieck duality”, Selecta Math. New Ser., 23:2 (2017), 1279–1307 , arXiv: 1504.00700  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 12
59. L. Positselski, “Koszulity of cohomology = $K(\pi,1)$-ness + quasi-formality”, Journ. of Algebra, 483 (2017), 188–229 , arXiv: 1507.04691  crossref  mathscinet  zmath  adsnasa  isi  scopus 9
60. L. Positselski, J. Rosický, “Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories”, Journ. of Algebra, 483 (2017), 83–128 , arXiv: 1512.08119  crossref  mathscinet  zmath  adsnasa  isi  scopus 23
61. Leonid Positselski, “Contraadjusted modules, contramodules, and reduced cotorsion modules”, Moscow Math. Journ., 17:3 (2017), 385–455 , arXiv: 1605.03934  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus 22

   2016
62. L. Positselski, Noncommutative Kummer theory, 2016 , 7 pp., arXiv: 1606.03880  zmath  adsnasa
63. L. Positselski, “Dedualizing complexes and MGM duality”, Journ. of Pure and Appl. Algebra, 220:12 (2016), 3866–3909 , arXiv: 1503.05523  crossref  mathscinet  zmath  adsnasa  isi  scopus 19

   2015
64. A. I. Efimov, L. Positselski, “Coherent analogues of matrix factorizations and relative singularity categories”, Algebra and Number Theory, 9:5 (2015), 1159–1292 , arXiv: 1102.0261  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 46
65. L. Positselski, “Artin-Tate motivic sheaves with finite coefficients over an algebraic variety”, Proceedings of the London Math. Soc., 111:6 (2015), 1402–1430 , arXiv: 1012.3735  crossref  mathscinet  zmath  adsnasa  isi  scopus 1

   2014
66. L. Positselski, “Galois cohomology of a number field is Koszul”, Journ. of Number Theory, 145 (2014), 126–152 , arXiv: 1008.0095  crossref  mathscinet  zmath  adsnasa  isi  scopus 11

   2012
67. L. E. Positsel'skii, “The algebra of closed forms on the disk is a Koszul algebra”, Funct. Anal. Appl., 46:3 (2012), 218–224 , arXiv: 1007.5010  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
68. A. Polishchuk, L. Positselski, “Hochschild (co)homology of the second kind I”, Transactions of the Amer. Math. Soc., 364:10 (2012), 5311–5368 , arXiv: 1010.0982  crossref  mathscinet  zmath  adsnasa  isi  scopus 23

   2011
69. Leonid Positselski, “Mixed Artin–Tate motives with finite coefficients”, Mosc. Math. J., 11:2 (2011), 317–402 , arXiv: 1006.4343  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus 22
70. L. Positselski, “Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence”, Memoirs of the Amer. Math. Soc., 212 (2011), 996 , vi+133 pp., arXiv: 0905.2621  crossref  mathscinet  zmath  adsnasa  isi  scopus 53

   2010
71. R. Bezrukavnikov, L. Positselski, “On semi-infinite cohomology of finite-dimensional graded algebras”, Compositio Math., 146:2 (2010), 480–496 , arXiv: 0803.3252  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 3
72. L. Positselski, 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 IMPAN, 70, Birkhauser/Springer, Basel, 2010 , xxiv+349 pp. www.springer.com/birkhauser/mathematics/book/978-3-0346-0435-2  crossref  mathscinet  zmath  adsnasa  isi 36

   2005
73. L. Positselski, “Koszul property and Bogomolov′s conjecture”, Internat. Math. Research Notices, 2005:31 (2005), 1901–1936 imrn.oxfordjournals.org/content/2005/31/1901, arXiv: 1405.0965  crossref  mathscinet  zmath  adsnasa  isi  scopus 19
74. L. Positselski, “Galois cohomology of certain field extensions and the divisible case of Milnor–Kato conjecture”, K-theory, 36:1–2 (2005), 33–50 , arXiv: math/0209037  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 3
75. A. Polishchuk, L. Positselski, Quadratic Algebras, University Lecture Series, 37, American Math. Society, Providence, RI, 2005 , xii+159 pp. www.ams.org/bookstore-getitem/item=ULECT-37  crossref  mathscinet  zmath 135

   2002
76. R. Bezrukavnikov, A. Braverman, L. Positselskii, “Gluing of abelian categories and differential operators on the basic affine space”, Journ. Inst. Math. Jussieu, 1:4 (2002), 543–557 , arXiv: math/0104114  crossref  mathscinet  zmath  adsnasa  isi  scopus 7

   1999
77. L. Positselski, “Mixed Tate motives with finite coefficients and conjectures about Galois groups of fields”, Algebraische K-theorie, Tagungsbericht 39/1999 (Oberwolfach, September 26–October 2, 1999), eds. M. Schlichting, K-theory Preprint Archives 0375, 1999, 8–9 www.math.uiuc.edu/K-theory/0375/

   1995
78. L. E. Positsel′skii, “Relation between the Hilbert series of quadratic dual algebras does not imply Koszulity”, Funct. Anal. Appl., 29:3 (1995), 213–217  mathnet  crossref  mathscinet  zmath  isi  scopus
79. L. Positselski, A. Vishik, “Koszul duality and Galois cohomology”, Math. Research Letters, 2:6 (1995), 771–781 , arXiv: alg-geom/9507010  crossref  mathscinet  zmath  adsnasa  isi 16
80. L. Positselski, All strictly exceptional collections in $D^b_{coh}(P^m)$ consist of vector bundles, 1995 , 6 pp., arXiv: alg-geom/9507014  adsnasa

   1993
81. L. E. Positsel′skii, “Nonhomogeneous quadratic duality and curvature”, Funct. Anal. Appl., 27:3 (1993), 197–204  mathnet  crossref  mathscinet  zmath  isi  scopus

   1991
82. L. E. Positsel′skii, “Local Plücker formulas for a semisimple Lie group”, Funct. Anal. Appl., 25:4 (1991), 291–292  mathnet  crossref  mathscinet  zmath  isi  scopus

Presentations in Math-Net.Ru
1. Semi-infinite homological algebra
L. E. Positsel'skii
The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic Geometry and Coding Theory"
May 14, 2012 18:00
2. Higher regulators of cyclotomic fields III
L. E. Positsel'skii
The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic Geometry and Coding Theory"
April 16, 2012 18:00
3. Higher regulators of cyclotomic fields II
L. E. Positsel'skii
The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic Geometry and Coding Theory"
April 9, 2012 18:00
4. Higher regulators of cyclotomic fields
L. E. Positsel'skii
The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic Geometry and Coding Theory"
April 2, 2012 18:00
5. Производные категории матричных факторизаций
L. E. Positsel'skii
Homology and homotopy methods in geometry
November 2, 2011 18:30
6. Matrix factorizations and exotic derived categories
Leonid Positselski
Derived categories in Algebraic Geometry
September 6, 2011 14:30   
7. Introduction to homological algebra
L. E. Positsel'skii
International School on Algebra and Algebraic Geometry
August 15–17, 2011   
8. Триангулированные категории относительных особенностей дивизоров Картье
L. E. Positsel'skii
Seminar by Algebra Department
February 15, 2011 15:00
9. Мотивные пучки Артина–Тейта с конечными коэффициентами над гладким многообразием
L. E. Positsel'skii
Weekly seminar of Laboratory of algebraic geometry
January 21, 2011 17:00
10. Mixed Artin–Tate motives with finite coefficients — continuation
Leonid Positsel'skii
Homological Methods in Algebraic Geometry
November 12, 2010 15:00
11. Mixed Artin–Tate motives with finite coefficients
Leonid Positselski
Homological Methods in Algebraic Geometry
October 29, 2010 15:00
12. Контрамодули
L. E. Positsel'skii
Seminar by Algebra Department
October 7, 2008 15:00
13. Полуалгебры, связанные с тейтовскими парами Хариш-Чандры
L. E. Positsel'skii
Seminar on Geometry of Algebraic Varieties
May 22, 2008 14:00
14. Полубесконечные когомологии ассоциативных алгебр и алгебр Ли
L. E. Positsel'skii
Seminar by Algebra Department
March 13, 2007 15:00

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