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“Medvedev’s logic and products of converse well orders”, Advances in Modal Logic, 14, College Publications, 2022, 681–696

“On ultrafilter extensions of first-order models and ultrafilter interpretations”, Archive for Mathematical Logic 60 (2021), 625–681. arXiv: 1812.06248

“On two types of ultrafilter extensions of binary relations”, 2020, arXiv: 2001.02456

“On modal logics of model-theoretic relations”, Studia Logica, 108:5 (2020), 989–1017. arXiv: 1804.09810
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“On first-order expressibility of satisfiability in submodels”, WoLLIC 2019, Lecture Notes in Computer Science, 11541, eds. R. Iemhoff et al., Springer-Verlag, 2019, 584–593

“Ultrafilter extensions do not preserve elementary equivalence”, Mathematical Logic Quarterly, 65:4 (2019), 511–515

“Hindman finite sums theorem and its application to topologizations of algebras”, arXiv: 1810.01947

“О топологиях Зариского на поликольцах”, УМН, 72:4(436) (2017), 195–196

“On two concepts of ultrafilter extensions of first-order models and their generalizations”, Logic, Language, Information, and Computation, Lecture Notes in Computer Science, 10388, eds. J. Kennedy, R. J. G. B. de Queiroz, Springer, Berlin, Heidelberg, 2017, 336–348

“On modal logic of submodels”, 11th Advances in Modal Logic, Short Papers, 2016, 115–119

“Замечание о сингулярных кардиналах без аксиомы выбора”, УМН, 71:2(428) (2016), 213–214 “A note on singular cardinals without the axiom of choice”, Russian Math. Surveys, 71:2 (2016), 385–387

“On the set-theoretic strength of the existence of disjoint cofinal sets in posets without maximal elements”, Mathematical Logic Quarterly, 62:3 (2016), 155–176

“Ultrafilter extensions of linearly ordered sets”, Order, 32:1 (2015), 29–41

“On idempotents in compact left topological universal algebras”, Topology Proceedings, 43 (2014), 37–46
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“On ultrafilter extensions of models”, The Infinity Project Proceedings, S.D. Friedman et al. (eds.), CRM Documents, 11, Barcelona, 2012, 599–616
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“On modal logic of dynamics: actions of arbitrary semigroups”, 9th Advances in Modal Logic, Short Papers, eds. Th. Bolander et al., 2012, 68–75

“Ultrafilter extensions of models”, Logic and Its Applications, Lecture Notes in Computer Science, Springer, 2011, 162–177

“Игра на универсуме множеств”, Известия РАН, сер. матем., 72:3 (2008), 175–224
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“Сообщение об игре на универсуме множеств”, Матем. заметки, 81:5 (2007), 797–800

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