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Arnautov, Vladimir Ivanovich
Statistics Math-Net.Ru
Total publications: 57
Scientific articles: 55

Number of views:
This page:3755
Abstract pages:12505
Full texts:4117
References:1521
Birth date: 30.07.1939
E-mail:

https://www.mathnet.ru/eng/person8411
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/196725

Publications in Math-Net.Ru Citations
2023
1. V. I. Arnautov, S. T. Glavatsky, G. N. Ermakova, A. V. Mikhalev, “On factor-rings of complete topological rings”, Fundam. Prikl. Mat., 24:3 (2023),  3–9  mathnet; J. Math. Sci., 283:6 (2024), 825–829
2022
2. V. I. Arnautov, G. N. Ermakova, “Properties of coverings in lattices of ring topologies”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2022, no. 1,  66–74  mathnet  mathscinet
2021
3. V. I. Arnautov, G. N. Ermakova, “On non-discrete topologization of some countable skew fields”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2021, no. 1-2,  84–92  mathnet
2020
4. V. I. Arnautov, G. N. Ermakova, “On the number of topologies on countable skew fields”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2020, no. 1,  63–74  mathnet 1
5. S. A. Aleschenko, V. I. Arnautov, S. T. Glavatsky, “Properties of generalized nilpotent elements of pseudo-normed commutative rings”, Fundam. Prikl. Mat., 23:3 (2020),  3–11  mathnet; J. Math. Sci., 269:3 (2023), 269–275
2019
6. V. I. Arnautov, G. N. Ermakova, “On the number of topologies on countable fields”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2019, no. 1,  79–90  mathnet 2
2018
7. V. I. Arnautov, G. N. Ermakova, “Properties of finite unrefinable chains of ring topologies for nilpotent rings”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2018, no. 1,  67–75  mathnet
2017
8. V. I. Arnautov, G. N. Ermakova, “Unrefinable chains when taking the infimum in the lattice of ring topologies for a nilpotent ring”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, no. 2,  71–76  mathnet  mathscinet 2
9. S. A. Aleschenko, V. I. Arnautov, “Properties of accessible subrings of pseudonormed rings when taking quotient rings”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, no. 2,  42–53  mathnet  mathscinet
2016
10. V. I. Arnautov, G. N. Ermakova, “Lattice of all topologies of countable module over countable rings”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, no. 2,  63–70  mathnet 1
2015
11. V. I. Arnautov, G. N. Ermakova, “On the number of ring topologies on countable rings”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2015, no. 1,  103–114  mathnet 4
2014
12. V. I. Arnautov, G. N. Ermakova, “On the number of group topologies on countable groups”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2014, no. 1,  101–112  mathnet 6
2013
13. V. I. Arnautov, G. N. Ermakova, “On the number of metrizable group topologies on countable groups”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2013, no. 2-3,  17–26  mathnet 6
2012
14. V. I. Arnautov, “Properties of covers in the lattice of group topologies for nilpotent groups”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2012, no. 3,  38–44  mathnet  mathscinet 1
15. V. I. Arnautov, “Method of construction of topologies on any finite set”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2012, no. 2,  29–42  mathnet  mathscinet  zmath
2011
16. V. I. Arnautov, “Estimation of the number of one-point expansions of a topology which is given on a finite set”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2011, no. 2,  17–22  mathnet  mathscinet  zmath 1
2010
17. V. I. Arnautov, A. V. Kochina, “Method for constructing one-point expansions of a topology on a finite set and its applications”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 3,  67–76  mathnet  mathscinet  zmath 2
18. V. I. Arnautov, “Properties of final unrefinable chains of groups topologies”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 2,  3–19  mathnet  mathscinet  zmath 3
19. V. I. Arnautov, “Properties of finite unrefinable chains of ring topologies”, Fundam. Prikl. Mat., 16:8 (2010),  5–16  mathnet  mathscinet; J. Math. Sci., 185:2 (2012), 176–183  scopus 3
2009
20. V. I. Arnautov, “About group topologies of the primary Abelian group of finite period which coincide on a subgroup and on the factor group”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, no. 2,  19–28  mathnet  mathscinet  zmath
2008
21. S. A. Aleschenko, V. I. Arnautov, “Properties of one-sided ideals of pseudonormed rings when taking the quotient rings”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2008, no. 3,  3–8  mathnet  mathscinet  zmath 2
2007
22. V. I. Arnautov, “Properties of accessible subrings of topological rings when taking quotient rings”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2007, no. 2,  4–18  mathnet  mathscinet  zmath
2006
23. V. I. Arnautov, K. M. Filippov, “Lattices of topologies of algebraic systems”, Algebra Discrete Math., 2006, no. 2,  1–16  mathnet  mathscinet  zmath
24. S. A. Aleschenko, V. I. Arnautov, “Quotient rings of pseudonormed rings”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2006, no. 2,  3–16  mathnet  mathscinet  zmath 3
25. V. I. Arnautov, “Properties of one-sided ideals of topological rings”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2006, no. 1,  3–14  mathnet  mathscinet  zmath 2
26. V. I. Arnautov, “On coverings in the lattice of all group topologies of arbitrary Abelian groups”, Sibirsk. Mat. Zh., 47:5 (2006),  961–973  mathnet  mathscinet  zmath; Siberian Math. J., 47:5 (2006), 787–796  isi  scopus 2
2004
27. V. I. Arnautov, “Semitopological isomorphism of topological groups”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2004, no. 1,  15–25  mathnet  mathscinet  zmath 3
28. V. I. Arnautov, “On overnilpotent radicals of topological rings”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2004, no. 1,  3–14  mathnet  mathscinet  zmath
2003
29. V. I. Arnautov, K. M. Filippov, “On disjoint sums in the lattice of linear topologies”, Fundam. Prikl. Mat., 9:1 (2003),  3–18  mathnet  mathscinet  zmath; J. Math. Sci., 128:6 (2005), 3335–3344  scopus
30. V. I. Arnautov, K. M. Filippov, “On Prebox Module Topologies”, Mat. Zametki, 74:1 (2003),  12–18  mathnet  mathscinet  zmath; Math. Notes, 74:1 (2003), 12–17  isi  scopus 1
2001
31. V. I. Arnautov, K. M. Filippov, “On maximal chains in the lattice of module topologies”, Sibirsk. Mat. Zh., 42:3 (2001),  491–506  mathnet  mathscinet  zmath; Siberian Math. J., 42:3 (2001), 415–427  isi 3
1996
32. V. I. Arnautov, “On the completeness of topological rings in maximal topologies”, Mat. Sb., 187:2 (1996),  3–18  mathnet  mathscinet  zmath; Sb. Math., 187:2 (1996), 159–174  isi  scopus
1995
33. V. I. Arnautov, M. I. Ursul, “On the uniqueness of topologies for some constructions of rings and modules”, Sibirsk. Mat. Zh., 36:4 (1995),  735–751  mathnet  mathscinet  zmath; Siberian Math. J., 36:4 (1995), 631–644  isi 3
1992
34. V. I. Arnautov, A. V. Mikhalev, “Questions on the possibility of extending the topologies of a ring and of a semigroup to their semigroup ring”, Trudy Mat. Inst. Steklov., 193 (1992),  22–27  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 193 (1993), 19–23
1990
35. V. I. Arnautov, E. I. Kabanova, “Strengthening the group topology of a countable group up to a general group”, Sibirsk. Mat. Zh., 31:1 (1990),  3–13  mathnet  mathscinet  zmath; Siberian Math. J., 31:1 (1990), 1–10  isi 5
1989
36. V. I. Arnautov, A. V. Mikhalev, “Compact groups and their group rings”, Mat. Zametki, 46:6 (1989),  3–9  mathnet  mathscinet  zmath; Math. Notes, 46:6 (1989), 891–895  isi 1
1987
37. V. I. Arnautov, “On the extension of the ring topology of a $\sigma$-bounded field to a simple transcendental extension of the field”, Mat. Sb. (N.S.), 133(175):3(7) (1987),  275–292  mathnet  mathscinet  zmath; Math. USSR-Sb., 61:2 (1988), 271–287
1985
38. V. I. Arnautov, A. V. Mikhalev, “On the problem of extending the topologies of a group and a ring to their group ring”, Uspekhi Mat. Nauk, 40:4(244) (1985),  135–136  mathnet  mathscinet  zmath; Russian Math. Surveys, 40:4 (1985), 151–152  isi
1984
39. V. I. Arnautov, E. I. Marin, A. V. Mikhalev, “Necessary conditions for the extension of a group and a field topology to their group algebra”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, no. 6,  58–61  mathnet  mathscinet  zmath 1
1983
40. V. I. Arnautov, A. V. Mikhalev, “Sufficient conditions for extension of topologies of a group and a ring to their group ring”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 5,  25–33  mathnet  mathscinet  zmath 1
1981
41. V. I. Arnautov, “Extension of a locally bounded field topology to a prime transcendental extension of the field”, Algebra Logika, 20:5 (1981),  511–521  mathnet  mathscinet 1
42. V. I. Arnautov, A. V. Mikhalev, “Topologies on a ring of polynomials, and a topological analogue of the Hilbert basis theorem”, Mat. Sb. (N.S.), 116(158):4(12) (1981),  467–482  mathnet  mathscinet  zmath; Math. USSR-Sb., 44:4 (1983), 417–430 2
1978
43. V. A. Andrunakievich, V. A. Arnautov, I. M. Goyan, Yu. M. Ryabukhin, “Associative rings”, Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 16 (1978),  91–190  mathnet  mathscinet  zmath; J. Soviet Math., 14:1 (1980), 922–985 2
1976
44. V. A. Andrunakievich, V. I. Arnautov, “Weakly Boolean topological rings”, Dokl. Akad. Nauk SSSR, 228:6 (1976),  1265–1268  mathnet  mathscinet  zmath 1
1974
45. V. I. Arnautov, V. N. Vizitiu, “Extension of a locally bounded topology on a field to algebraic extensions of the field”, Dokl. Akad. Nauk SSSR, 216:3 (1974),  477–480  mathnet  mathscinet  zmath
1973
46. V. A. Andrunakievich, V. I. Arnautov, M. I. Ursul, “Wedderburn decomposition of hereditarily linearly compact rings”, Dokl. Akad. Nauk SSSR, 211:1 (1973),  15–18  mathnet  mathscinet  zmath 2
1970
47. V. I. Arnautov, “Nondiscrete topologizability of infinite commutative rings”, Dokl. Akad. Nauk SSSR, 194:5 (1970),  991–994  mathnet  mathscinet  zmath
48. V. I. Arnautov, “Nondiscrete topologizability of countable rings”, Dokl. Akad. Nauk SSSR, 191:4 (1970),  747–750  mathnet  mathscinet  zmath 5
1968
49. V. I. Arnautov, “Topologies of countable rings”, Sibirsk. Mat. Zh., 9:6 (1968),  1251–1262  mathnet  mathscinet  zmath; Siberian Math. J., 9:6 (1968), 939–946 6
1967
50. V. A. Andrunakievich, V. I. Arnautov, Yu. M. Ryabukhin, “Rings”, Itogi Nauki. Ser. Mat. Algebra. Topol. Geom. 1965, 1967,  133–180  mathnet  mathscinet 1
1966
51. V. A. Andrunakievich, V. I. Arnautov, “Invertibility in topological rings”, Dokl. Akad. Nauk SSSR, 170:4 (1966),  755–758  mathnet  mathscinet  zmath 1
1965
52. V. I. Arnautov, “A criterion of pseudonormability of topological rings”, Algebra i Logika. Sem., 4:4 (1965),  3–24  mathnet  mathscinet
53. V. I. Arnautov, “On the theory of topological rings”, Sibirsk. Mat. Zh., 6:2 (1965),  249–261  mathnet  mathscinet  zmath
1964
54. V. I. Arnautov, “On the theory of topological rings”, Dokl. Akad. Nauk SSSR, 157:1 (1964),  12–15  mathnet  mathscinet  zmath 1
55. V. I. Arnautov, “The topological Baer radical and the decomposition of a ring”, Sibirsk. Mat. Zh., 5:6 (1964),  1209–1227  mathnet  mathscinet  zmath 3
1988
56. V. I. Arnautov, A. I. Kostrikin, V. P. Platonov, Yu. M. Ryabukhin, L. A. Skornyakov, “Vladimir Aleksandrovich Andrunakievich (on his seventieth birthday)”, Uspekhi Mat. Nauk, 43:1(259) (1988),  219–220  mathnet  mathscinet; Russian Math. Surveys, 43:1 (1988), 261–263  isi
1977
57. P. S. Aleksandrov, V. I. Arnautov, Yu. M. Ryabukhin, L. A. Skornyakov, A. I. Shirshov, “Vladimir Aleksandrovich Andrunakievich (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 32:4(196) (1977),  271–275  mathnet  mathscinet  zmath; Russian Math. Surveys, 32:4 (1977), 245–251 1

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