Preprints: 

• S. O. Ivanov, X. Xu. On ℓp-Vietoris-Rips complexes.
  arXiv: 2411.01857

• X. Fu, S. O. Ivanov. Path homology of digraphs without multisquares and its comparison with homology of spaces.
  arXiv: 2407.17001 

• S. O. Ivanov, L. Mukoseev. On diagonal digraphs, Koszul algebras and triangulations of homology spheres
  arXiv: 2405.04748

• S. O. Ivanov, R. Mikhailov, F. Pavutnitskiy. Limits via relations
  arXiv: 2405.03175 

• Y. Asao, S. O. Ivanov. Magnitude homology is a derived functor.
  arXiv: 2402.14466

• S. O. Ivanov. Nested homotopy models of finite metric spaces and their spectral homology
  arXiv: 2312.11878

• M.Carelli, S.O. Ivanov. Transfinite version of the Mittag-Leffler condition for the vanishing of the derived limit.
  arXiv: 2310.02716

Published:

2025

• E. Dror Farjoun, S. O. Ivanov,  A. Krasilnikov, A. Zaikovskii. A Note on the Non-Existence of Functors.  Journal of Algebra.
  arXiv: 2306.04432
  DOI: 10.1016/j.jalgebra.2025.03.037

2024

• S. Di, S. O. Ivanov, L. Mukoseev, M. Zhang. On the path homology of Cayley digraphs and covering digraphs.  Journal of Algebra
  arXiv: 2305.15683
  DOI: 10.1016/j.jalgebra.2024.05.005

• L. Bartholdi, D. Fialkovski, S. O. Ivanov. On commutator length in free groups. Groups Geom. Dyn.,
  arXiv: 1504.04261
  DOI: 10.4171/GGD/747 

• M. Basok, S.O. Ivanov, R. Mikhailov. Homology of the pronilpotent completion and cotorsion groups. Isr. J. Math.
  arXiv: 2107.01485
  DOI: 10.1007/s11856-023-2579-4

2023

• S. O. Ivanov, F. Pavutnitskiy. Simplicial approach to path homology of quivers, marked categories, groups and algebras.  Journal of the London Mathematical Society (2023).
  arXiv: 2211.06202
  DOI:  10.1112/jlms.12812

• S. O. Ivanov, R. Mikhailov. HR-length of a free group via polynomial functors.
  Journal of Pure and Applied Algebra, Volume 227, Issue 12, December 2023, 107443
  arXiv: 2111.11835
  DOI: 10.1016/j.jpaa.2023.107443

• S. O. Ivanov. On the cokernel of the Baumslag rationalization.
  Isr. J. Math. 253, 407–418 (2023)
  arXiv: 2102.04045
  DOI: 10.1007/s11856-022-2369-4

2022

• S. O. Ivanov. An overview of rationalization theories of non-simply connected spaces and non-nilpotent groups.  
  Acta Mathematica Sinica, English Series volume 38, 1705-1721 (2022)
  DOI:  10.1007/s10114-022-2063-9
  arXiv: 2111.10694

2021

• S. O. Ivanov, F. Pavutnitskiy, V. Romanovskii, A. Zaikovskii.  On homology of Lie algebras over commutative rings.
  Journal of Algebra, 586, (2021), 99-139.
  DOI, arXiv. 

• D. Akhtiamov, S. O. Ivanov, F. Pavutnitskiy. Right exact localizations of groups.
  Israel Journal of Mathematics 242, 839–873 (2021): 1-35.
  DOI, arXiv. 

• S. O. Ivanov, V. Lopatkin. Parafree augmented algebras and Gröbner-Shirshov bases for complete augmented algebras.
  Journal of Pure and Applied Algebra 225.11 (2021): 106725.
  DOI,  arXiv. 

• S. O. Ivanov,  A. Zaikovskii. Mod-2 (co)homology of an abelian group.
  Journal of Mathematical Sciences 252.6 (2021): 794-803.
  DOI,  arXiv.

• S. O. Ivanov, R. Mikhailov. Right  exact  group  completion as a transfinite invariant of homology equivalence.
  Algebraic & Geometric Topology 21.1 (2021):  447-468.
  DOI, arXiv. 

2020 

• S. O. Ivanov,  R. Mikhailov, A. Zaikovskii.  Homological  properties  of parafree Lie algebras.
  Journal of Algebra 560 (2020):  1092-1106.
  DOI, arXiv. 

• S. O. Ivanov, V. Romanovskii, A. Semenov. A simple proof of Curtis’ connectivity theorem for Lie powers.
  Homology,  Homotopy and Applications 22.2 (2020):251-258.
  DOI,  arXiv.

• S. O. Ivanov, R. Mikhailov, F. Pavutnitskiy. Limits, standard complexes and fr-codes.
  Sbornik: Mathematics 211.11 (2020): 1568.
  DOI, arXiv. 

2019

• S. O. Ivanov, R. Mikhailov, V. Sosnilo. Higher colimits, derived functors and homology.
  Sbornik:  Mathematics 210.9 (2019):  1222.
  DOI, arXiv. 

• S. O. Ivanov, R. Mikhailov. A finite Q–bad space.
  Geometry & Topology 23.3(2019):  1237-1249.
  DOI, arXiv. 

2018

• S. O. Ivanov, R. Mikhailov. On discrete homology of a free pro-p-group.
  Compositio Mathematica 154.10 (2018):  2195-2204.
  DOI, arXiv.

• S. O. Ivanov, R. Mikhailov.  On  lengths  of HZ-localization  towers.
  Israel Journal of Mathematics 226.2 (2018):  635-683.
  DOI,  arXiv.

• S. O. Ivanov,  R. Mikhailov,  J. Wu.  Leibniz  rule  on  higher  pages  of  unstable spectral sequences.
  Proceedings of the Edinburgh Mathematical Society 61.1 (2018):  265.
  DOI, arXiv. 

• S. O. Ivanov. On Bousfield’s problem for solvable groups of finite Prufer rank.
  Journal of Algebra 501 (2018):  473-502.
  DOI, arXiv. 

• S. O. Ivanov, R. Mikhailov. Higher limits, homology theories and fr-codes.
  Combinatorial And Toric Homotopy:  Introductory Lectures. 2018. 229-261.
  DOI: 10.1142/9789813226579_0004
  arXiv. 

2017

• S. O. Ivanov, R. Mikhailov, J. Wu. Homotopy theory and generalized dimension subgroups.
  Journal of Algebra 484 (2017):  224-246.
  DOI,  arXiv.

2016

• S. O. Ivanov, R. Mikhailov, J. Wu.  On  nontriviality  of  certain  homotopy groups of spheres.
  Homology, Homotopy and Applications 18.2 (2016):  337-344.
  DOI,  arXiv.

• S. O. Ivanov, R. Mikhailov. On a problem of Bousfield for metabelian groups.
  Advances in Mathematics 290 (2016):  552-589.
  DOI, arXiv. 

2015

• A. A. Ivanov, S. O. Ivanov, Y. Volkov, G. Zhou. BV structure on Hochschild cohomology of the group ring of quaternion group of order eight in characteristic two.
  Journal of Algebra 435 (2015): 174-203.
  DOI, arXiv.

• S. O. Ivanov, R. Mikhailov. A higher limit approach to homology theories.
  Journal of Pure and Applied Algebra 219.6 (2015):  1915-1939.
  DOI, arXiv. 

2014

• S. O. Ivanov, Y. V. Volkov. Stable Calabi–Yau dimension of self-injective algebras offinite type.
  Journal of Algebra 413 (2014):  72-99.
  DOI,  arXiv.

2013

• S. O. Ivanov. Self-Injective algebras of stable Calabi-Yau dimension three.
  Journal of Mathematical Sciences 188.5 (2013):  601-620.
  DOI. 

• S. O. Ivanov. The stable Calabi–Yau dimension of the preprojective algebra of type L_n.
  St. Petersburg Mathematical Journal 24.3 (2013): 475-484.
  DOI 

2012

• S. O. Ivanov, Nakayama functors and Eilenberg-Watts theorems.
  Journal of MathematicalSciences 183.5 (2012):  675-680.
  DOI.

2011

2010

• Y. Volkov, A. Generalov, S. O. Ivanov. On the construction of bimodule resolutions withthe help of the Happel lemma.
  Journal of Mathematical Sciences 171.3 (2010).
  DOI 

2009

• A. Generalov, S. O. Ivanov.  Bimodule  resolution  of  a  group  algebra.
  Journal of Mathematical Sciences 161.4 (2009):  537-541.
  DOI 

2008

• A. Generalov,  A. A. Ivanov,  S. O. Ivanov.  Hochschild  cohomology  of  algebras  of  quaternion  type.  II.  The  family Q(2B)1 in characteristic 2.
  Journal of Mathematical Sciences volume 151, pages 2961–3009 (2008).
  DOI