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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)

Articles

1. 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
2. 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
3. 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
4. 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
5. 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
6. 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
7. 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
8. 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
9. 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
10. 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
11. 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
12. 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
13. 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
14. 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
15. 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
16. 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
17. 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
18. 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
19. 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
20. 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
21. 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
22. 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
23. 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
24. L. Positselski, “Contramodules”, Confluentes Mathematici, 13:2 (2021), 93–182 , arXiv: 1503.00991  crossref  mathscinet  adsnasa  scopus 11
25. 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
26. 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
27. 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
28. 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
29. 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
30. 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
31. 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
32. 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
33. 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
34. 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
35. 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
36. 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
37. 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
38. 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
39. L. Positselski, “Categorical Bockstein sequences”, Appl. Categor. Struct., 26:6 (2018), 1211–1263 , arXiv: 1404.5011  crossref  mathscinet  zmath  adsnasa  isi  scopus
40. 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
41. 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
42. 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
43. 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
44. 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
45. 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
46. 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
47. 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
48. 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
49. 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
50. 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
51. 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
52. 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
53. 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
54. 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
55. 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
56. 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
57. 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/
58. 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
59. 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
60. L. E. Positsel′skii, “Nonhomogeneous quadratic duality and curvature”, Funct. Anal. Appl., 27:3 (1993), 197–204  mathnet  crossref  mathscinet  zmath  isi  scopus
61. 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

Books

62. 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
63. L. Positselski, Relative nonhomogeneous Koszul duality, Frontiers in Mathematics, Birkhäuser/Springer Nature, Cham, Switzerland, 2021 , xxix+278 pp.  crossref  mathscinet  zmath  adsnasa  scopus 4
64. 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
65. 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

ArXiv

66. 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
67. L. Positselski, Contraherent cosheaves on schemes, 2024 , 450 pp., arXiv: 1209.2995  adsnasa
68. L. Positselski, Resolutions as directed colimits, 2024 , 37 pp., arXiv: 2312.07197  crossref  adsnasa
69. L. Positselski, Philosophy of contraherent cosheaves, 2024 , 65 pp., arXiv: 2311.14179  adsnasa
70. L. Positselski, Generalized periodicity theorems, 2024 , 38 pp., arXiv: 2301.00708  adsnasa
71. L. Positselski, The categories of corings and coalgebras over a ring are locally countably presentable, 2024 , 24 pp., arXiv: 2401.02928  adsnasa
72. L. Positselski, J. Šťovíček, Contraderived categories of CDG-modules, 2024 , 66 pp., arXiv: 2401.07021  adsnasa
73. L. Positselski, Roos axiom holds for quasi-coherent sheaves, 2024 , 13 pp., arXiv: 2407.13651  adsnasa
74. L. Positselski, A contramodule generalization of Neeman's flat and projective module theorem, 2024 , 20 pp., arXiv: 2408.10928  adsnasa
75. L. Positselski, Homological full-and-faithfulness of comodule inclusion and contramodule forgetful functors, 2023 , 43 pp., arXiv: 2301.09561  adsnasa
76. L. Positselski, Comodules and contramodules over coalgebras associated with locally finite categories, 2023 , 35 pp., arXiv: 2307.13358  adsnasa
77. L. Positselski, Tensor-Hom formalism for modules over nonunital rings, 2023 , 41 pp., arXiv: 2308.16090  adsnasa
78. L. Positselski, Semialgebras associated with nonunital algebras and $k$-linear subcategories, 2023 , 60 pp., arXiv: 2310.05550  adsnasa
79. L. Positselski, Exact DG-categories and fully faithful triangulated inclusion functors, 2022 , 151 pp., arXiv: 2110.08237  adsnasa
80. L. Positselski, Abelian right perpendicular subcategories in module categories, 2018 , 57 pp., arXiv: 1705.04960  adsnasa
81. L. Positselski, Noncommutative Kummer theory, 2016 , 7 pp., arXiv: 1606.03880  zmath  adsnasa
82. L. Positselski, All strictly exceptional collections in $D^b_{coh}(P^m)$ consist of vector bundles, 1995 , 6 pp., arXiv: alg-geom/9507014  adsnasa

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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