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Gumerov, Renat Nelsonovich

Total publications: 36 (36)
in MathSciNet: 16 (16)
in zbMATH: 10 (10)
in Web of Science: 6 (6)
in Scopus: 7 (7)
Cited articles: 21
Citations: 145
Presentations: 15

Number of views:
This page:2256
Abstract pages:6902
Full texts:3772
References:1389
Associate professor
Doctor of physico-mathematical sciences (2020)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail: ,
Keywords: Banach algebra
UDC: 517.986; 519.72; 530.145

Subject:

Banach algebras and modules, their homological characteristics;

Topological groups, covering mappings, covering group theorems, P-adic solenoids, generalized means;

   
Main publications:
  1. “R. N. Gumerov”, “On finite-sheeted covering mappings onto solenoids”, Proceedings of the American Mathematical Society, 133:9 (2005), “2771–2778”  crossref  mathscinet
  2. “S. A. Grigorian, R. N. Gumerov”, “On the structure of finite coverings of compact connected groups”, Topology and its Applications, 153 (2006), “3598–3614”"  crossref
  3. R. N. Gumerov, “Weierstrass polynomials and coverings of compact groups”, Siberian Math. J., 54:2 (2013), 243–246  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
  4. R. N. Gumerov, “Limit automorphisms of the $C^*$-algebras generated by isometric representations for semigroups of rationals”, Siberian Math. J., 59:1 (2018), 73–84  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
  5. R. N. Gumerov, “Covering groups and their applications: A survey”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 164, no. 1, Kazan University, Kazan, 2022, 5–42  mathnet  crossref  mathscinet
  6. R. N. Gumerov, E. V. Lipacheva, “Automorphisms of the limits for the direct sequences of the Toeplitz-Cuntz algebras”, Journal of Mathematical Analysis and Applications, 533:2 (2024), 127991  crossref

https://www.mathnet.ru/eng/person31431
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/290209
https://elibrary.ru/author_items.asp?authorid=13424
https://orcid.org/0000-0001-8125-9353
https://www.webofscience.com/wos/author/record/L-4947-2015
https://www.scopus.com/authid/detail.url?authorId=6507449348

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2024
1. R. N. Gumerov, R. L. Khazhin, “Generating Quantum Channels”, Proc. Steklov Inst. Math., 324 (2024), 75–85  mathnet  crossref  crossref  mathscinet  zmath  scopus
2. R. N. Gumerov, E. V. Lipacheva, “Automorphisms of the limits for the direct sequences of the Toeplitz-Cuntz algebras”, Journal of Mathematical Analysis and Applications, 533:2 (2024), 127991  crossref 3
3. R. N. Gumerov, A. S. Kuklin, E. V. Lipacheva, “A universal property of semigroup $C^*$-algebras generated by cones in groups of rationals”, Annals of Functional Analysis, 15:3 (2024), 72  crossref
4. R. N. Gumerov, K. A. Shishkin, “O polnote $C^*$-sootnoshenii”, Teoriya funktsii, teoriya operatorov i kvantovaya teoriya informatsii. Sbornik materialov Mezhdunarodnoi nauchnoi konferentsii . (Ufa, 08–12 iyunya 2024 g.), ISBN 978-5-00177-998-8, eds. otv.red. R.N. Garifullin, Aeterna, Ufa, 2024, 18–19 https://matem.anrb.ru/conf/sbornik24_1.pdf
5. R. N. Gumerov, A. S. Kuklin, E. V. Lipacheva, “Ob universalnykh svoistvakh $C^*$-algebr, porozhdennykh polugruppami ratsionalnykh chisel”, Materialy mezhdunarodnoi konferentsii " Algebra i matematicheskaya logika: teoriya i prilozheniya" (Kazan, K(P)FU, 27 iyunya –01 iyulya 2024 g.), K(P)FU, Kazan, 2024, 106–107 https://shelly.kpfu.ru/e-ksu/docs/F_1630060359/__Main.pdf?p_random=804751
6. R. N. Gumerov, R. L. Khazhin, “Generating quantum dynamic mapping”, Theoret. and Math. Phys., 221:3 (2024), 2177–2192  mathnet  crossref  crossref
7. Ufa Math. J., 16:3 (2024), 113–124  mathnet  crossref

   2023
8. “I. S. Berdnikov, R. N. Gumerov, E. V. Lipacheva, K. A. Shishkin”, “" On C*-Algebra and *-Polynomial Relations"”, Lobachevskii J. Math., 44:6 (2023), 1990–1997 https://link.springer.com/article/10.1134/S1995080223060112  crossref 2
9. R.N. Gumerov, E.V. Lipacheva, “A semigroup C*-algebra related to the infinite dihedral group”, Lobachevskii J. Math., 44:4 (2023), “1332-1340”  crossref 2
10. R. N. Gumerov, E. V. Lipacheva, “Automorphisms of the limits for the direct sequences of the Toeplitz-Cuntz algebras”, Journal of Mathematical Analysis and Applications, (2023) http://doi.org/10.1016/j.jmaa.2023.127991
11. R. N. Gumerov, “Automorphisms of limits for inductive sequences of the Toeplitz-Cuntz algebras and generalized means on the P-adic solenoids”, Book of Abstracts, III International Conference " Mathematical Physics, Dynamical Systems, Infinite-Dimentional Analysis" dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov (July 5–13, 2023, Dolgoprudny, Russia), MIPT, Dolgoprudny, 2023, P. 84.
12. R. N. Gumerov, E. V. Lipacheva, K. A. Shishkin, “O polnote S*-sootnoshenii”, XVI Mezhdunarodnaya Kazanskaya shkola-konferentsiya ”Teoriya funktsii, ee prilozheniya i smezhnye voprosy” (Kazan, 22–27 avgusta 2023 g.), Trudy Matematicheskogo tsentra imeni N.I. Lobachevskogo, 66, KFU, Kazan, 2023, 84-85 https://kpfu.ru/portal/docs/F_1160820648/Trudy_Matematicheskogo_centra_imeni_N_I_Lobachevskogo_T_66_v_23_08.pdf

   2022
13. R. N. Gumerov, “Covering groups and their applications: A survey”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 164, no. 1, Kazan University, Kazan, 2022, 5–42  mathnet  crossref  mathscinet
14. R. N. Gumerov, R. L. Khazhin, “On divisible quantum dynamical mappings”, Ufa Math. J., 14:2 (2022), 22–34  mathnet  crossref  mathscinet

   2021
15. S. A. Grigoryan, R. N. Gumerov, E. V. Lipacheva, “Limits of Inductive Sequences of Toeplitz–Cuntz Algebras”, Proc. Steklov Inst. Math., 313 (2021), 60–69  mathnet  crossref  crossref  isi  elib  scopus
16. R. N. Gumerov, E. V. Lipacheva, T. A. Grigoryan, “On a Topology and Limits for Inductive Systems of C*-Algebras over Partially Ordered Sets”, International journal of Theoretical Physics, 60 (2021), 499–511  crossref 9

   2020
17. R. N. Gumerov, “On covering groups”, Russian Math. (Iz. VUZ), 64:3 (2020), 76–81  mathnet  crossref  crossref  isi  scopus
18. R. N. Gumerov, “Normalnye rasshireniya polugrupp i vlozheniya polugruppovykh C*-algebr”, Trudy MFTI, 12:1 (2020), 74–82  crossref
19. R. N. Gumerov, E. V. Lipacheva, “Topological Grading of Semigroup C*-Algebras”, Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 3(90) (2020), 44–55  crossref 1

   2019
20. “R. N. Gumerov”, “Inductive limits for systems of Toeplitz algebras”, Lobachevskii J. Math., 40:4 (2019), “469–478”  crossref  mathscinet 8
21. “S. A. Grigorian, R. N. Gumerov, E. V. Lipacheva”, “On extensions of semigroups and their applications to Toeplitz algebras”, Lobachevskii J. Math., 40:12 (2019), “2052–2061”  crossref 9

   2018
22. R. N. Gumerov, E. V. Lipacheva, T. A. Grigoryan, “On inductive limits for systems of $C^*$-algebras”, Russian Math. (Iz. VUZ), 62:7 (2018), 68–73  mathnet  crossref  mathscinet  zmath  isi  scopus
23. R. N. Gumerov, “Limit automorphisms of the $C^*$-algebras generated by isometric representations for semigroups of rationals”, Siberian Math. J., 59:1 (2018), 73–84  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
24. R. N. Gumerov, “Coverings of solenoids and automorphisms of semigroup $C^*$-algebras”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 160, no. 2, Izd-vo Kazanskogo un-ta, Kazan, 2018, 275–286  mathnet  mathscinet  isi 7
25. R. N. Gumerov, A. Sh. Sharafutdinov, “A low-rank approximation of tensors and the topological group structure of invertible matrices”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 160, no. 4, Izd-vo Kazanskogo un-ta, Kazan, 2018, 788–796  mathnet  mathscinet

   2016
26. “R. N. Gumerov, S. I. Vidunov”, “Approximation by matrices with simple spectra”, Lobachevskii J. Math., 37:3 (2016), 240–243  crossref  mathscinet

   2014
27. R. N. Gumerov, “Characters and coverings of compact groups”, Russian Math. (Iz. VUZ), 58:4 (2014), 7–13  mathnet  crossref  mathscinet  zmath  scopus

   2013
28. R. N. Gumerov, “Weierstrass polynomials and coverings of compact groups”, Siberian Math. J., 54:2 (2013), 243–246  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2006
29. “S. A. Grigorian, R. N. Gumerov”, “On the structure of finite coverings of compact connected groups”, Topology and its Applications, 153 (2006), “3598–3614”"  crossref 10

   2005
30. R. N. Gumerov, “On the existence of means on solenoids”, Lobachevskii J. Math., 17 (2005), 43–46  mathnet  mathscinet  zmath  elib 5
31. “R. N. Gumerov”, “On finite-sheeted covering mappings onto solenoids”, Proceedings of the American Mathematical Society, 133:9 (2005), “2771–2778”  crossref  mathscinet 16

   2004
32. S. A. Grigorian, R. N. Gumerov, On the structure of finite coverings of compact connected groups, 2004 , 17 pp., arXiv: math/0403329.pdf

   2002
33. S. A. Grigoryan, R. N. Gumerov, “On a covering group theorem and its applications”, Lobachevskii J. Math., 10 (2002), 9–16  mathnet  mathscinet  zmath  elib 5

   2000
34. S. A. Grigoryan, R. N. Gumerov, A. V. Kazantsev, “Group structure in finite coverings of compact solenoidal groups”, Lobachevskii J. Math., 6 (2000), 39–46  mathnet  mathscinet  zmath 6

   1991
35. R. N. Gumerov, “On a geometric criterion for nontriviality of the simplicial and cyclic cohomology of Banach algebras”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, no. 3, 67–69  mathnet  mathscinet  zmath

   1988
36. R. N. Gumerov, “The homological dimension of radical algebras of Beurling type with rapidly decreasing weight”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 5, 18–22  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. О полноте $C^\ast$-соотношений
R. N. Gumerov, K. A. Shishkin
International conference “Theory of Functions, Operator Theory and Quantum Information Theory”
June 11, 2024 14:30   
2. Generating quantum dynamical mappings
R. N. Gumerov
Functional Analysis and Quantum Systems
June 6, 2024 18:00
3. On the properties of kernel operators
R. R. Mirzoev, R. N. Gumerov
Functional Analysis and Quantum Systems
April 25, 2024 18:00
4. On properties of compact $C^\ast$-relations
R. N. Gumerov
Algebras in Analysis
November 24, 2023 18:00
5. Automorphisms of limits for inductive sequences of the Toeplitz-Cuntz algebras and generalized means on the P-adic solenoids
R. N. Gumerov
III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov
July 8, 2023 16:45
6. On C*-algebra and *-polynomial relations
R. N. Gumerov
International Conference "Theory of Functions, Operator Theory and Quantum Information Theory"
June 3, 2023 13:10   
7. Generating quantum channels.
R. L. Khazhin, R. N. Gumerov
Functional Analysis and Quantum Systems
April 28, 2023 18:00
8. On the universality of semigroup $C^*$-algebras
I. S. Berdnikov, R. N. Gumerov
International Conference "Functions Theory, Operators Theory and Quantum Information Theory"
October 20, 2022 11:35   
9. On polynomials over commutative C*-algebras
I. S. Berdnikov, R. N. Gumerov, E. V. Lipacheva
Complex Analysis and Related Topics (satelllite of ICM-2022)
July 1, 2022 19:10   
10. О делимых квантовых процессах
Р. Л. Хажин, Р. Н. Гумеров
Function Theory, Operator Theory and Quantum Information Theory
October 4, 2021 17:05   
11. The Stone–Čech compactification functor on the category of monoids and its properties
I. S. Berdnikov, R. N. Gumerov
International Conference on Algebra, Analysis and Geometry - 2021
August 24, 2021 17:10   
12. Inductive limits for sequences of C*-algebras
R. N. Gumerov
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 1, 2021 16:55   
13. Graded semigroup C*-algebras and non-commutative Fourier coefficients
R. N. Gumerov, E. V. Lipacheva
One-Parameter Semigroups of Operators (OPSO) 2021
April 6, 2021 13:25   
14. Group structures and their applications
R. N. Gumerov
Mathematical Colloquium of the Bauman Moscow State Technical University
June 18, 2020 17:30
15. Group structures and their applications to categories of analysis and topological algebra
R. N. Gumerov
Algebras in Analysis
December 8, 2017 18:05

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