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Arnautov, Vladimir Ivanovich

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Author ID: arnautov.vladimir-ivanovich Recent zbMATH articles by "Arnautov, Vladimir Ivanovich"
Published as: Arnautov, V.; Arnautov, V. I.; Arnautov, Vladimir; Arnautov, Vladimir I.
External Links: MGP · Math-Net.Ru · Wikidata · GND
Documents Indexed: 114 Publications since 1964, including 6 Books
Reviewing Activity: 61 Reviews
Biographic References: 3 Publications

Publications by Year

Citations contained in zbMATH

43 Publications have been cited 111 times in 76 Documents Cited by Year
Introduction to the theory of topological rings and modules. Zbl 0842.16001
Arnautov, V. I.; Glavatsky, S. T.; Mikhalev, A. V.
33
1996
Introduction to the theory of topological rings and modules. (Vvedenie v teoriyu topologicheskikh kolets i modulej). Zbl 0518.16013
Arnautov, V. I.; Vodinchar, M. I.; Mikhalev, A. V.
13
1981
Nondiscrete topologizability of countable rings. Zbl 0209.33903
Arnautov, V. I.
4
1970
Radicals of topological rings. Zbl 0227.16031
Arnautov, V. I.; Vodinchar, M. I.
4
1968
An example of ring with non-modular lattice of ring topologies. Zbl 1027.16027
Arnautov, V. I.; Topolă, A. Gh.
3
1998
On the uniqueness of topologies for some constructions of rings and modules. Zbl 0852.16031
Arnautov, V. I.; Ursul, M. I.
3
1995
Construction of topological rings and modules. (Konstruktsii topologicheskikh kolets i modulej). Ed. by V. A. Andrunakievich. Zbl 0661.16034
Arnautov, V. I.; Vodinchar, M. I.; Glavatskij, S. T.; Mikhalev, A. V.
3
1988
Extension of a locally bounded topology on a field to algebraic extensions of the field. Zbl 0306.12108
Arnautov, V. I.; Vizitiu, V. N.
3
1974
General theory of radicals of topological rings. Zbl 1114.16309
Arnautov, V. I.
2
1996
Completion of the group topology of a countable group. Zbl 0713.22001
Arnautov, V. I.; Kabanova, E. I.
2
1990
Extension of the group topology of a countable group to the complete one. Zbl 0703.22001
Arnautov, V. I.; Kabanova, E. I.
2
1990
On extension of topologies of a group and a ring to their group ring. Zbl 0604.16031
Arnautov, V. I.; Mikhalev, A. V.
2
1985
Sufficient conditions for continuation of group and ring topologies to their group ring. Zbl 0522.22002
Arnautov, V. I.; Mikhalev, A. V.
2
1983
On the uniqueness of a linearly compact topology in rings. Zbl 0435.16021
Arnautov, V. I.; Ursul, M. I.
2
1979
The Wedderburn decomposition of hereditarily linearly compact rings. Zbl 0301.16030
Andrunakievich, V. A.; Arnautov, V. I.; Ursul, M. I.
2
1974
(Non-discrete topologizibility of infinite commutative rings.). Zbl 0227.13013
Arnautov, V. I.
2
1970
On topologization of countable rings. Zbl 0175.32001
Arnautov, V. I.
2
1969
Das topologische Baer-Radikal und die Zerlegung eines Ringes. Zbl 0132.02403
Arnautov, V. I.
2
1964
Unrefinable chains when taking the infimum in the lattice of ring topologies for a nilpotent ring. Zbl 1394.16052
Arnautov, V. I.; Ermakova, G. N.
1
2017
Lattice of all topologies of countable module over countable rings. Zbl 1355.16043
Arnautov, Vladimir; Ermakova, G. N.
1
2016
On the number of ring topologies on countable rings. Zbl 1352.54024
Arnautov, V. I.; Ermakova, G. N.
1
2015
On the number of group topologies on countable groups. Zbl 1309.22001
Arnautov, Vladimir; Ermakova, G. N.
1
2014
On the number of metrizable group topologies on countable groups. Zbl 1408.22001
Arnautov, Vladimir; Ermakova, G. N.
1
2013
Properties of final unrefinable chains of groups topologies. Zbl 1204.22001
Arnautov, V. I.
1
2010
Properties of one-sided ideals of pseudonormed rings when taking the quotient rings. Zbl 1168.16025
Aleschenko, S. A.; Arnautov, V. I.
1
2008
Quotient rings of pseudonormed rings. Zbl 1125.16035
Aleschenko, S. A.; Arnautov, V. I.
1
2006
Semitopological isomorphism of topological groups. Zbl 1066.22001
Arnautov, V. I.
1
2004
On coverings in the lattice of linear topologies. Zbl 0947.16030
Arnautov, V. I.; Filippov, K. M.
1
1999
On isomorphisms of free topological groups, rings and modules generated by topological spaces. Zbl 0834.16042
Arnautov, V. I.
1
1993
Intersection property in the radical theory of topological algebras. Zbl 0767.16017
Arnautov, 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 0784.16026
Arnautov, V. I.; Beidar, K. I.; Glavatskii, S. T.; Mikhalev, A. V.
1
1991
On the extension of the ring topology of a \(\sigma\)-bounded field to a simple transcendental extension of the field. Zbl 0678.12010
Arnautov, V. I.
1
1988
Sufficient conditions for continuation of group and ring topologies to their group ring. Zbl 0531.22006
Arnautov, V. I.; Mikhalev, A. V.
1
1983
Topologies of a polynomial ring and a topological analogue of Hilbert’s basis theorem. Zbl 0507.16027
Arnautov, V. I.; Mikhalev, A. V.
1
1981
An example of a commutative completely regular topological semigroup which does not admit embeddings in multiplicative semigroups of topological rings. Zbl 0475.22002
Arnautov, V. I.; Mikhalev, A. V.
1
1981
Associative rings. Zbl 0446.16002
Andrunakievich, V. A.; Arnautov, V. I.; Goyan, I. M.; Ryabukhin, Yu. M.
1
1980
Die Einbettung topologischer Ringe in zusammenhängende Ringe. Zbl 0419.16027
Arnautov, V. I.; Ursul, M. I.
1
1979
Wedderburn decomposition of hereditarily linearly compact rings. Zbl 0288.16021
Andrunakievich, V. A.; Arnautov, V. I.; Ursul, M. I.
1
1973
Semitopological isomorphism of topological rings. Zbl 0232.16031
Arnautov, V. I.
1
1969
Complementary radicals in topological rings. Zbl 0227.16030
Arnautov, V. I.
1
1968
Über Topologisierungen abzählbarer Ringe. Zbl 0167.31002
Arnautov, V. I.
1
1968
Invertibility in topological rings. Zbl 0199.08003
Andrunakievich, V. A.; Arnautov, V. I.
1
1966
On the theory of topological rings. Zbl 0134.03903
Arnautov, V. I.
1
1964
Unrefinable chains when taking the infimum in the lattice of ring topologies for a nilpotent ring. Zbl 1394.16052
Arnautov, V. I.; Ermakova, G. N.
1
2017
Lattice of all topologies of countable module over countable rings. Zbl 1355.16043
Arnautov, Vladimir; Ermakova, G. N.
1
2016
On the number of ring topologies on countable rings. Zbl 1352.54024
Arnautov, V. I.; Ermakova, G. N.
1
2015
On the number of group topologies on countable groups. Zbl 1309.22001
Arnautov, Vladimir; Ermakova, G. N.
1
2014
On the number of metrizable group topologies on countable groups. Zbl 1408.22001
Arnautov, Vladimir; Ermakova, G. N.
1
2013
Properties of final unrefinable chains of groups topologies. Zbl 1204.22001
Arnautov, V. I.
1
2010
Properties of one-sided ideals of pseudonormed rings when taking the quotient rings. Zbl 1168.16025
Aleschenko, S. A.; Arnautov, V. I.
1
2008
Quotient rings of pseudonormed rings. Zbl 1125.16035
Aleschenko, S. A.; Arnautov, V. I.
1
2006
Semitopological isomorphism of topological groups. Zbl 1066.22001
Arnautov, V. I.
1
2004
On coverings in the lattice of linear topologies. Zbl 0947.16030
Arnautov, V. I.; Filippov, K. M.
1
1999
An example of ring with non-modular lattice of ring topologies. Zbl 1027.16027
Arnautov, V. I.; Topolă, A. Gh.
3
1998
Introduction to the theory of topological rings and modules. Zbl 0842.16001
Arnautov, V. I.; Glavatsky, S. T.; Mikhalev, A. V.
33
1996
General theory of radicals of topological rings. Zbl 1114.16309
Arnautov, V. I.
2
1996
On the uniqueness of topologies for some constructions of rings and modules. Zbl 0852.16031
Arnautov, V. I.; Ursul, M. I.
3
1995
On isomorphisms of free topological groups, rings and modules generated by topological spaces. Zbl 0834.16042
Arnautov, V. I.
1
1993
Intersection property in the radical theory of topological algebras. Zbl 0767.16017
Arnautov, 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 0784.16026
Arnautov, V. I.; Beidar, K. I.; Glavatskii, S. T.; Mikhalev, A. V.
1
1991
Completion of the group topology of a countable group. Zbl 0713.22001
Arnautov, V. I.; Kabanova, E. I.
2
1990
Extension of the group topology of a countable group to the complete one. Zbl 0703.22001
Arnautov, V. I.; Kabanova, E. I.
2
1990
Construction of topological rings and modules. (Konstruktsii topologicheskikh kolets i modulej). Ed. by V. A. Andrunakievich. Zbl 0661.16034
Arnautov, 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 0678.12010
Arnautov, V. I.
1
1988
On extension of topologies of a group and a ring to their group ring. Zbl 0604.16031
Arnautov, V. I.; Mikhalev, A. V.
2
1985
Sufficient conditions for continuation of group and ring topologies to their group ring. Zbl 0522.22002
Arnautov, V. I.; Mikhalev, A. V.
2
1983
Sufficient conditions for continuation of group and ring topologies to their group ring. Zbl 0531.22006
Arnautov, V. I.; Mikhalev, A. V.
1
1983
Introduction to the theory of topological rings and modules. (Vvedenie v teoriyu topologicheskikh kolets i modulej). Zbl 0518.16013
Arnautov, V. I.; Vodinchar, M. I.; Mikhalev, A. V.
13
1981
Topologies of a polynomial ring and a topological analogue of Hilbert’s basis theorem. Zbl 0507.16027
Arnautov, V. I.; Mikhalev, A. V.
1
1981
An example of a commutative completely regular topological semigroup which does not admit embeddings in multiplicative semigroups of topological rings. Zbl 0475.22002
Arnautov, V. I.; Mikhalev, A. V.
1
1981
Associative rings. Zbl 0446.16002
Andrunakievich, V. A.; Arnautov, V. I.; Goyan, I. M.; Ryabukhin, Yu. M.
1
1980
On the uniqueness of a linearly compact topology in rings. Zbl 0435.16021
Arnautov, V. I.; Ursul, M. I.
2
1979
Die Einbettung topologischer Ringe in zusammenhängende Ringe. Zbl 0419.16027
Arnautov, V. I.; Ursul, M. I.
1
1979
Extension of a locally bounded topology on a field to algebraic extensions of the field. Zbl 0306.12108
Arnautov, V. I.; Vizitiu, V. N.
3
1974
The Wedderburn decomposition of hereditarily linearly compact rings. Zbl 0301.16030
Andrunakievich, V. A.; Arnautov, V. I.; Ursul, M. I.
2
1974
Wedderburn decomposition of hereditarily linearly compact rings. Zbl 0288.16021
Andrunakievich, V. A.; Arnautov, V. I.; Ursul, M. I.
1
1973
Nondiscrete topologizability of countable rings. Zbl 0209.33903
Arnautov, V. I.
4
1970
(Non-discrete topologizibility of infinite commutative rings.). Zbl 0227.13013
Arnautov, V. I.
2
1970
On topologization of countable rings. Zbl 0175.32001
Arnautov, V. I.
2
1969
Semitopological isomorphism of topological rings. Zbl 0232.16031
Arnautov, V. I.
1
1969
Radicals of topological rings. Zbl 0227.16031
Arnautov, V. I.; Vodinchar, M. I.
4
1968
Complementary radicals in topological rings. Zbl 0227.16030
Arnautov, V. I.
1
1968
Über Topologisierungen abzählbarer Ringe. Zbl 0167.31002
Arnautov, V. I.
1
1968
Invertibility in topological rings. Zbl 0199.08003
Andrunakievich, V. A.; Arnautov, V. I.
1
1966
Das topologische Baer-Radikal und die Zerlegung eines Ringes. Zbl 0132.02403
Arnautov, V. I.
2
1964
On the theory of topological rings. Zbl 0134.03903
Arnautov, V. I.
1
1964
all top 5

Cited by 73 Authors

10 Arnautov, Vladimir Ivanovich
6 Mikhalëv, Aleksandr Vasil’evich
5 Marcos, José E.
4 Glavatsky, S. T.
4 Protasov, Igor Volodymyrovych
4 Ursul, Mihail I.
4 Vechtomov, Evgeniĭ Mikhaĭlovich
3 Beidar, Konstantin Igorevich
3 Ermakova, G. N.
3 Tenzina, V. V.
3 Tuganbaev, Askar Akanovich
2 Garcia-Pacheco, Francisco Javier
2 Krylov, Piotr A.
2 Remus, Dieter
2 Seal, Gavin J.
2 Slinko, Arkadii M.
2 Taĭmanov, Asan Dabsovich
2 Tripe, Adela
2 Yang, Jiang
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 He, Pengfei
1 Ivanov, Aleksandr Vladimirovich
1 Kabanova, E. I.
1 Karamzadeh, Omid Ali Shahni
1 Kartashova, A. V.
1 Khan, Liaqat Ali
1 Komisarchik, Matan
1 Kontolatou, Angeliki
1 Kotov, Matvei
1 Letzter, Edward S.
1 Markov, Viktor T.
1 Nazari, Narges
1 Nielsen, Pace P.
1 Piniella, Pablo
1 Pombo, Dinamérico Pereira jun.
1 Ponizovskiĭ, Iosif Solomonovich
1 Pyartli, S. A.
1 Ryabukhin, Yuriĭ Mikhaĭlovich
1 Salim, Mohamed Ahmed M.
1 Schiffels, Gerhard
1 Schneider, Peter
1 Serovaiskii, S. 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, Linhong
1 Weber, Hans Josef Karl
1 Wiegandt, Richard
1 Xin, Xiaolong
1 Zabeti, Omid
1 Zhang, Xiongwei
1 Zubkov, Alexandr N.

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