Edit Profile (opens in new tab) Arnautov, Vladimir Ivanovich Compute Distance To: Compute Author ID: arnautov.vladimir-ivanovich Published as: Arnautov, V. I.; Arnautov, Vladimir; Arnautov, Vladimir Ivanovich; Arnautov, Vladimir I.; Arnautov, V. more...less External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · GND Documents Indexed: 114 Publications since 1964, including 3 Books 3 Contributions as Editor · 1 Further Contribution Reviewing Activity: 62 Reviews Biographic References: 3 Publications Co-Authors: 24 Co-Authors with 68 Joint Publications 416 Co-Co-Authors all top 5 Co-Authors 49 single-authored 20 Mikhalëv, Aleksandr Vasil’evich 11 Ermakova, G. N. 9 Andrunakievich, Vladimir Aleksandrovich 8 Ursul, Mihail I. 6 Filippov, K. M. 5 Glavatskiĭ, Sergeĭ Timofeevich 5 Ryabukhin, Yuriĭ Mikhaĭlovich 5 Vodinchar, M. I. 3 Aleschenko, S. A. 3 Beidar, Konstantin Igorevich 3 Skornyakov, Lev Anatolevich 2 Aleshchenko, S. A. 2 Aleksandrov, Pavel Sergeevich 2 Kabanova, E. I. 2 Vizitiu, V. N. 1 Aleksei, S. F. 1 Aleksej, S. F. 1 Belousov, Valentin Danilovici 1 Filippov, Kirill 1 Goyan, I. M. 1 Kochina, A. V. 1 Marin, E. I. 1 Mishina, Anna Petrovna 1 Shirshov, Anatoliĭ Illarionovich 1 Shrishov, A. I. 1 Suprunenko, Dmitrii Alexeevich 1 Topolă, A. Gh. 1 Vol’gachev, R. T. 1 Zelenyuk, E. G. all top 5 Serials 31 Buletinul Academiei de Științe a Republicii Moldova. Matematica 23 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya 7 Soviet Mathematics. Doklady 6 Sibirskiĭ Matematicheskiĭ Zhurnal 3 Moscow University Mathematics Bulletin 3 Izvestiya Akademii Nauk Moldavskoĭ SSR. Seriya Fiziko-Tekhnicheskikh i Matematicheskikh Nauk 3 Siberian Mathematical Journal 2 Mathematical Notes 2 Russian Mathematical Surveys 2 Algebra i Logika 2 Journal of Soviet Mathematics 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Mathematics of the USSR, Sbornik 2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Matematicheskie Zametki 1 Ukrainian Mathematical Journal 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Algebra and Logic 1 Mathematica Japonica 1 Trudy Seminara Imeni I. G. Petrovskogo 1 Journal of Mathematical Sciences (New York) 1 Sbornik: Mathematics 1 Fundamental’naya i Prikladnaya Matematika 1 Algebra and Discrete Mathematics 1 Diskretnyĭ Analiz 1 Pure and Applied Mathematics, Marcel Dekker all top 5 Fields 71 Associative rings and algebras (16-XX) 38 General topology (54-XX) 34 Topological groups, Lie groups (22-XX) 19 Commutative algebra (13-XX) 6 Field theory and polynomials (12-XX) 5 General and overarching topics; collections (00-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Group theory and generalizations (20-XX) 3 Functional analysis (46-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 45 Publications have been cited 127 times in 83 Documents Cited by ▼ Year ▼ Introduction to the theory of topological rings and modules. Zbl 0842.16001Arnautov, V. I.; Glavatsky, S. T.; Mikhalev, A. V. 41 1996 Introduction to the theory of topological rings and modules. (Vvedenie v teoriyu topologicheskikh kolets i modulej). Zbl 0518.16013Arnautov, V. I.; Vodinchar, M. I.; Mikhalev, A. V. 13 1981 Nondiscrete topologizability of countable rings. Zbl 0209.33903Arnautov, V. I. 4 1970 Radicals of topological rings. Zbl 0227.16031Arnautov, V. I.; Vodinchar, M. I. 4 1968 Construction of topological rings and modules. (Konstruktsii topologicheskikh kolets i modulej). Ed. by V. A. Andrunakievich. (Konstruktsii topologicheskikh kolets i modulej.) Zbl 0661.16034Arnautov, V. I.; Vodinchar, M. I.; Glavatskij, S. T.; Mikhalev, A. V. 3 1988 On the number of group topologies on countable groups. Zbl 1309.22001Arnautov, Vladimir; Ermakova, G. N. 3 2014 Extension of a locally bounded topology on a field to algebraic extensions of the field. Zbl 0306.12108Arnautov, V. I.; Vizitiu, V. N. 3 1974 On the uniqueness of topologies for some constructions of rings and modules. Zbl 0852.16031Arnautov, V. I.; Ursul, M. I. 3 1995 An example of ring with non-modular lattice of ring topologies. Zbl 1027.16027Arnautov, V. I.; Topolă, A. Gh. 3 1998 On the number of ring topologies on countable rings. Zbl 1352.54024Arnautov, V. I.; Ermakova, G. N. 3 2015 On the number of metrizable group topologies on countable groups. Zbl 1408.22001Arnautov, Vladimir; Ermakova, G. N. 3 2013 On extension of topologies of a group and a ring to their group ring. Zbl 0604.16031Arnautov, V. I.; Mikhalev, A. V. 3 1985 Completion of the group topology of a countable group. Zbl 0713.22001Arnautov, V. I.; Kabanova, E. I. 2 1990 The Wedderburn decomposition of hereditarily linearly compact rings. Zbl 0301.16030Andrunakievich, V. A.; Arnautov, V. I.; Ursul, M. I. 2 1974 Sufficient conditions for continuation of group and ring topologies to their group ring. Zbl 0522.22002Arnautov, V. I.; Mikhalev, A. V. 2 1983 Unrefinable chains when taking the infimum in the lattice of ring topologies for a nilpotent ring. Zbl 1394.16052Arnautov, V. I.; Ermakova, G. N. 2 2017 On topologization of countable rings. Zbl 0175.32001Arnautov, V. I. 2 1969 (Non-discrete topologizibility of infinite commutative rings.). Zbl 0227.13013Arnautov, V. I. 2 1970 General theory of radicals of topological rings. Zbl 1114.16309Arnautov, V. I. 2 1996 Das topologische Baer-Radikal und die Zerlegung eines Ringes. Zbl 0132.02403Arnautov, V. I. 2 1964 Die Einbettung topologischer Ringe in zusammenhängende Ringe. Zbl 0419.16027Arnautov, V. I.; Ursul, M. I. 1 1979 On the uniqueness of a linearly compact topology in rings. Zbl 0435.16021Arnautov, V. I.; Ursul, M. I. 1 1979 Associative rings. Zbl 0446.16002Andrunakievich, V. A.; Arnautov, V. I.; Goyan, I. M.; Ryabukhin, Yu. M. 1 1980 An example of a commutative completely regular topological semigroup which does not admit embeddings in multiplicative semigroups of topological rings. Zbl 0475.22002Arnautov, V. I.; Mikhalev, A. V. 1 1981 On coverings in the lattice of linear topologies. Zbl 0947.16030Arnautov, V. I.; Filippov, K. M. 1 1999 Intersection property in the radical theory of topological algebras. Zbl 0767.16017Arnautov, V. I.; Beidar, K. I.; Glavatskii, S. T.; Mikhalev, A. V. 1 1992 Properties of final unrefinable chains of groups topologies. Zbl 1204.22001Arnautov, V. I. 1 2010 The intersection property in the theory of radicals of topological algebras. Zbl 0784.16026Arnautov, V. I.; Beidar, K. I.; Glavatskii, S. T.; Mikhalev, A. V. 1 1991 Properties of finite unrefinable chains of ring topologies for nilpotent rings. Zbl 1398.16040Arnautov, V. I.; Ermakova, G. N. 1 2018 On the extension of the ring topology of a \(\sigma\)-bounded field to a simple transcendental extension of the field. Zbl 0678.12010Arnautov, V. I. 1 1988 On isomorphisms of free topological groups, rings and modules generated by topological spaces. Zbl 0834.16042Arnautov, V. I. 1 1993 Wedderburn decomposition of hereditarily linearly compact rings. Zbl 0288.16021Andrunakievich, V. A.; Arnautov, V. I.; Ursul, M. I. 1 1973 Topologies of a polynomial ring and a topological analogue of Hilbert’s basis theorem. Zbl 0507.16027Arnautov, V. I.; Mikhalev, A. V. 1 1981 Sufficient conditions for continuation of group and ring topologies to their group ring. Zbl 0531.22006Arnautov, V. I.; Mikhalev, A. V. 1 1983 Quotient rings of pseudonormed rings. Zbl 1125.16035Aleschenko, S. A.; Arnautov, V. I. 1 2006 Semitopological isomorphism of topological groups. Zbl 1066.22001Arnautov, V. I. 1 2004 On the number of topologies on countable fields. Zbl 1439.22001Arnautov, V. I.; Ermakova, G. N. 1 2019 Properties of one-sided ideals of pseudonormed rings when taking the quotient rings. Zbl 1168.16025Aleschenko, S. A.; Arnautov, V. I. 1 2008 Über Topologisierungen abzählbarer Ringe. Zbl 0167.31002Arnautov, V. I. 1 1968 Invertibility in topological rings. Zbl 0199.08003Andrunakievich, V. A.; Arnautov, V. I. 1 1966 Complementary radicals in topological rings. Zbl 0227.16030Arnautov, V. I. 1 1968 Semitopological isomorphism of topological rings. Zbl 0232.16031Arnautov, V. I. 1 1969 Lattice of all topologies of countable module over countable rings. Zbl 1355.16043Arnautov, Vladimir; Ermakova, G. N. 1 2016 On the theory of topological rings. Zbl 0134.03903Arnautov, V. I. 1 1964 On the number of topologies on countable skew fields. Zbl 1485.22002Arnautov, Vladimir Ivanovich; Ermakova, G. N. 1 2020 On the number of topologies on countable skew fields. Zbl 1485.22002Arnautov, Vladimir Ivanovich; Ermakova, G. N. 1 2020 On the number of topologies on countable fields. Zbl 1439.22001Arnautov, V. I.; Ermakova, G. N. 1 2019 Properties of finite unrefinable chains of ring topologies for nilpotent rings. Zbl 1398.16040Arnautov, V. I.; Ermakova, G. N. 1 2018 Unrefinable chains when taking the infimum in the lattice of ring topologies for a nilpotent ring. Zbl 1394.16052Arnautov, V. I.; Ermakova, G. N. 2 2017 Lattice of all topologies of countable module over countable rings. Zbl 1355.16043Arnautov, Vladimir; Ermakova, G. N. 1 2016 On the number of ring topologies on countable rings. Zbl 1352.54024Arnautov, V. I.; Ermakova, G. N. 3 2015 On the number of group topologies on countable groups. Zbl 1309.22001Arnautov, Vladimir; Ermakova, G. N. 3 2014 On the number of metrizable group topologies on countable groups. Zbl 1408.22001Arnautov, Vladimir; Ermakova, G. N. 3 2013 Properties of final unrefinable chains of groups topologies. Zbl 1204.22001Arnautov, V. I. 1 2010 Properties of one-sided ideals of pseudonormed rings when taking the quotient rings. Zbl 1168.16025Aleschenko, S. A.; Arnautov, V. I. 1 2008 Quotient rings of pseudonormed rings. Zbl 1125.16035Aleschenko, S. A.; Arnautov, V. I. 1 2006 Semitopological isomorphism of topological groups. Zbl 1066.22001Arnautov, V. I. 1 2004 On coverings in the lattice of linear topologies. Zbl 0947.16030Arnautov, V. I.; Filippov, K. M. 1 1999 An example of ring with non-modular lattice of ring topologies. Zbl 1027.16027Arnautov, V. I.; Topolă, A. Gh. 3 1998 Introduction to the theory of topological rings and modules. Zbl 0842.16001Arnautov, V. I.; Glavatsky, S. T.; Mikhalev, A. V. 41 1996 General theory of radicals of topological rings. Zbl 1114.16309Arnautov, V. I. 2 1996 On the uniqueness of topologies for some constructions of rings and modules. Zbl 0852.16031Arnautov, V. I.; Ursul, M. I. 3 1995 On isomorphisms of free topological groups, rings and modules generated by topological spaces. Zbl 0834.16042Arnautov, V. I. 1 1993 Intersection property in the radical theory of topological algebras. Zbl 0767.16017Arnautov, V. I.; Beidar, K. I.; Glavatskii, S. T.; Mikhalev, A. V. 1 1992 The intersection property in the theory of radicals of topological algebras. Zbl 0784.16026Arnautov, V. I.; Beidar, K. I.; Glavatskii, S. T.; Mikhalev, A. V. 1 1991 Completion of the group topology of a countable group. Zbl 0713.22001Arnautov, V. I.; Kabanova, E. I. 2 1990 Construction of topological rings and modules. (Konstruktsii topologicheskikh kolets i modulej). Ed. by V. A. Andrunakievich. (Konstruktsii topologicheskikh kolets i modulej.) Zbl 0661.16034Arnautov, V. I.; Vodinchar, M. I.; Glavatskij, S. T.; Mikhalev, A. V. 3 1988 On the extension of the ring topology of a \(\sigma\)-bounded field to a simple transcendental extension of the field. Zbl 0678.12010Arnautov, V. I. 1 1988 On extension of topologies of a group and a ring to their group ring. Zbl 0604.16031Arnautov, V. I.; Mikhalev, A. V. 3 1985 Sufficient conditions for continuation of group and ring topologies to their group ring. Zbl 0522.22002Arnautov, V. I.; Mikhalev, A. V. 2 1983 Sufficient conditions for continuation of group and ring topologies to their group ring. Zbl 0531.22006Arnautov, V. I.; Mikhalev, A. V. 1 1983 Introduction to the theory of topological rings and modules. (Vvedenie v teoriyu topologicheskikh kolets i modulej). Zbl 0518.16013Arnautov, V. I.; Vodinchar, M. I.; Mikhalev, A. V. 13 1981 An example of a commutative completely regular topological semigroup which does not admit embeddings in multiplicative semigroups of topological rings. Zbl 0475.22002Arnautov, V. I.; Mikhalev, A. V. 1 1981 Topologies of a polynomial ring and a topological analogue of Hilbert’s basis theorem. Zbl 0507.16027Arnautov, V. I.; Mikhalev, A. V. 1 1981 Associative rings. Zbl 0446.16002Andrunakievich, V. A.; Arnautov, V. I.; Goyan, I. M.; Ryabukhin, Yu. M. 1 1980 Die Einbettung topologischer Ringe in zusammenhängende Ringe. Zbl 0419.16027Arnautov, V. I.; Ursul, M. I. 1 1979 On the uniqueness of a linearly compact topology in rings. Zbl 0435.16021Arnautov, V. I.; Ursul, M. I. 1 1979 Extension of a locally bounded topology on a field to algebraic extensions of the field. Zbl 0306.12108Arnautov, V. I.; Vizitiu, V. N. 3 1974 The Wedderburn decomposition of hereditarily linearly compact rings. Zbl 0301.16030Andrunakievich, V. A.; Arnautov, V. I.; Ursul, M. I. 2 1974 Wedderburn decomposition of hereditarily linearly compact rings. Zbl 0288.16021Andrunakievich, V. A.; Arnautov, V. I.; Ursul, M. I. 1 1973 Nondiscrete topologizability of countable rings. Zbl 0209.33903Arnautov, V. I. 4 1970 (Non-discrete topologizibility of infinite commutative rings.). Zbl 0227.13013Arnautov, V. I. 2 1970 On topologization of countable rings. Zbl 0175.32001Arnautov, V. I. 2 1969 Semitopological isomorphism of topological rings. Zbl 0232.16031Arnautov, V. I. 1 1969 Radicals of topological rings. Zbl 0227.16031Arnautov, V. I.; Vodinchar, M. I. 4 1968 Über Topologisierungen abzählbarer Ringe. Zbl 0167.31002Arnautov, V. I. 1 1968 Complementary radicals in topological rings. Zbl 0227.16030Arnautov, V. I. 1 1968 Invertibility in topological rings. Zbl 0199.08003Andrunakievich, V. A.; Arnautov, V. I. 1 1966 Das topologische Baer-Radikal und die Zerlegung eines Ringes. Zbl 0132.02403Arnautov, V. I. 2 1964 On the theory of topological rings. Zbl 0134.03903Arnautov, V. I. 1 1964 all cited Publications top 5 cited Publications all top 5 Cited by 74 Authors 13 Arnautov, Vladimir Ivanovich 6 Ermakova, G. N. 6 Mikhalëv, Aleksandr Vasil’evich 5 Marcos, José E. 4 Glavatskiĭ, Sergeĭ Timofeevich 4 Protasov, Igor Volodymyrovych 4 Tuganbaev, Askar Akanovich 4 Ursul, Mihail I. 4 Vechtomov, Evgeniĭ Mikhaĭlovich 3 Beidar, Konstantin Igorevich 3 Krylov, Piotr Andreevich 3 Tenzina, V. V. 3 Yang, Jiang 2 Garcia-Pacheco, Francisco Javier 2 He, Pengfei 2 Remus, Dieter 2 Seal, Gavin J. 2 Slinko, Arkadii M. 2 Taĭmanov, Asan Dabsovich 2 Tripe, Adela 2 Zabeti, Omid 1 Abo-elhamayel, Mohamed 1 Aleschenko, S. A. 1 Andrunakievich, Vladimir Aleksandrovich 1 Banakh, Taras Onufrievich 1 Bovdi, Victor A. 1 Charyev, A. 1 Comfort, William Wistar 1 Concordido, Cláudia F. R. 1 Dikranjan, Dikran N. 1 Drees, Kevin M. 1 Dutka, Joanna 1 Fiorenza, Domenico 1 Gardner, Barry J. 1 Giordano Bruno, Anna 1 Goyan, I. M. 1 Hasler, Maximilian F. 1 Kabanova, E. I. 1 Karamzadeh, Omid Ali Shahni 1 Kartashova, Anna Vladimirovna 1 Khan, Liaqat Ali 1 Komisarchik, Matan 1 Kontolatou, Angeliki 1 Kotov, Matvei 1 Letzter, Edward S. 1 Markov, Viktor Timofeevich 1 Nazari, Narges 1 Nielsen, Pace P. 1 Piniella, Pablo 1 Pombo, Dinamérico Pereira jun. 1 Ponizovskiĭ, Iosif Solomonovich 1 Positselski, Leonid Efimovich 1 Pyartli, S. A. 1 Ryabukhin, Yuriĭ Mikhaĭlovich 1 Salim, Mohamed Ahmed M. 1 Schiffels, Gerhard 1 Schneider, Peter 1 Serovaĭskiĭ, Simon Ya. 1 Shakhmatov, Dmitri B. 1 Shell, Niel 1 Sidky, Fawzan 1 Skornyakov, Lev Anatolevich 1 Stenzel, Michael 1 Stewart, Patrick N. 1 Szambien, Horst H. 1 Tahat, Mohammad K. 1 Teitelbaum, Jeremy T. 1 Wang, Juntao 1 Wang, Linhong 1 Weber, Hans Josef Karl 1 Wiegandt, Richard 1 Xin, Xiaolong 1 Zhang, Xiongwei 1 Zubkov, Alexandr N. all top 5 Cited in 34 Serials 12 Journal of Mathematical Sciences (New York) 8 Buletinul Academiei de Științe a Republicii Moldova. Matematica 6 Mathematical Notes 6 Topology and its Applications 5 Algebra and Logic 5 Journal of Soviet Mathematics 3 Fuzzy Sets and Systems 3 Journal of Pure and Applied Algebra 3 Siberian Mathematical Journal 3 Applied Categorical Structures 2 Communications in Algebra 2 Israel Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Algebra Universalis 2 Journal of Algebra and its Applications 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Journal of Mathematical Analysis and Applications 1 Czechoslovak Mathematical Journal 1 Journal of Algebra 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Semigroup Forum 1 Forum Mathematicum 1 Integral Transforms and Special Functions 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Soft Computing 1 Algebras and Representation Theory 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Hacettepe Journal of Mathematics and Statistics 1 Applied General Topology all top 5 Cited in 17 Fields 37 Associative rings and algebras (16-XX) 24 General topology (54-XX) 22 Topological groups, Lie groups (22-XX) 14 Commutative algebra (13-XX) 11 Functional analysis (46-XX) 9 Group theory and generalizations (20-XX) 8 Field theory and polynomials (12-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 5 Category theory; homological algebra (18-XX) 4 General algebraic systems (08-XX) 3 Nonassociative rings and algebras (17-XX) 2 Mathematical logic and foundations (03-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.