Persons: Balaba, Irina Nikolaevna

Persons

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

Balaba, Irina Nikolaevna

Statistics
Total publications:	38
Scientific articles:	29
Presentations:	3

Number of views:
This page:	3352
Abstract pages:	17074
Full texts:	5256
References:	2060

Associate professor

Doctor of physico-mathematical sciences (2012)

Speciality:

01.01.06 (Mathematical logic, algebra, and number theory)

E-mail:

Keywords:

graded rings and modules; Morita's theorems; density theorems; equivalence of categories of modules; radicals; superalgebras.

UDC:

512.55, 512.552, 512.554.36

MSC:

16W50, 16W20, 16S90, 17A70, 17B05, 18E40, 16N80, 16D80

Subject:

The equivalence of rigid subcategories of categories of graded modules was studied, in particular, graded variant of Morita's theorem was obtained. The properties of graded maximal ring of quotients for semiprime ring graded by ordered group was studied. Some characterization of weakly primitive rings graded by semigroup was obtained. Modules are graded by acts with some cancellation conditions over these semigroups.

Biography

Graduated from Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (MSU) in 1980 and post graduated in 1983 (department of high algebra). Ph.D. thesis was defended in 2013. A list of my works contains about 100 titles.

Main publications:

Balaba I. N., “O slabo primitivnykh graduirovannykh koltsakh”, UMN, 56:6 (2001), 139–140
Balaba I. N., “Ekvivalentnosti Mority kategorii graduirovannykh modulei”, UMN, 42:3 (1987), 177–178
Balaba I. N., “Refleksivnye graduirovannye moduli”, Sb.: Algoritmicheskie problemy teorii grupp i polugrupp, Tula, 1991, 88–96
Balaba I. N., “Koltsa chastnykh polupervichnykh graduirovannykh kolets”, Sb. trudov mezhdunarodnoi konferentsii «Universalnaya algebra i ee prilozheniya», Volgograd, 2000, 21–28

https://www.mathnet.ru/eng/person11502

List of publications on Google Scholar

https://mathscinet.ams.org/mathscinet/MRAuthorID/203123

	Publications in Math-Net.Ru	Citations
	2025
1.	E. M. Rarova, N. N. Dobrovol'skii, I. Yu. Rebrova, I. N. Balaba, “Uniform distribution in the unit cube of weighted nodes of the quadrature formula”, Chebyshevskii Sb., 26:3 (2025), 185–219
2.	A. P. Krylov, N. M. Dobrovol'skii, I. N. Balaba, “Hyperbolic zeta function of diagonal unimodular lattices”, Chebyshevskii Sb., 26:1 (2025), 157–163
3.	N. M. Dobrovol'skii, A. S. Podolyan, E. M. Rarova, I. N. Balaba, “Algebraic grids and their application to the numerical solution of linear integral equations — II”, Chebyshevskii Sb., 26:1 (2025), 35–46
	2023
4.	M. N. Dobrovol'skii, N. N. Dobrovol'skii, A. V. Afonina, N. M. Dobrovol'skii, I. N. Balaba, I. Yu. Rebrova, “Universality and antiuniversality theorems for zeta functions of monoids of natural numbers”, Chebyshevskii Sb., 24:4 (2023), 104–136
	2021
5.	I. N. Balaba, A. V. Mikhalev, “Graded quasi-Frobenius rings and modules”, Intelligent systems. Theory and applications, 25:4 (2021), 66–70
	2019
6.	N. N. Dobrovol'skii, M. N. Dobrovol'skii, N. M. Dobrovol'skii, I. N. Balaba, I. Yu. Rebrova, “Dirichlet series algebra of a monoid of natural numbers”, Chebyshevskii Sb., 20:1 (2019), 180–196	11
	2018
7.	N. N. Dobrovolsky, M. N. Dobrovolsky, N. M. Dobrovolsky, I. N. Balaba, I. Yu. Rebrova, “Hypothesis about "barier series" for the zeta-functions of monoids with the exponential sequence of primes”, Chebyshevskii Sb., 19:1 (2018), 106–123	16
	2017
8.	S. S. Demidov, E. A. Morozova, V. N. Chubarikov, I. Yu. Rebrova, I. N. Balaba, N. N. Dobrovol'skii, N. M. Dobrovol'skii, L. P. Dobrovol'skaya, A. V. Rodionov, O. A. Pikhtil'kova, “Number-theoretic method in approximate analysis”, Chebyshevskii Sb., 18:4 (2017), 6–85	22
9.	N. M. Dobrovol'skii, I. N. Balaba, I. Yu. Rebrova, N. N. Dobrovol'skii, E. A. Matveeva, “On fractional linear transformations of forms A. Thue–M. N. Dobrovolsky–V. D. Podsypanina”, Chebyshevskii Sb., 18:2 (2017), 54–97	1
	2016
10.	N. M. Dobrovol'skii, I. N. Balaba, I. Yu. Rebrova, N. N. Dobrovol'skii, “On Lagrange algorithm for reduced algebraic irrationalities”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, no. 2, 27–39	1
	2013
11.	I. N. Balaba, E. N. Krasnova, “Semisimple graded rings”, Izv. Saratov Univ. Math. Mech. Inform., 13:4(2) (2013), 23–28
	2012
12.	I. N. Balaba, A. L. Kanunnikov, A. V. Mikhalev, “Quotient rings of graded associative rings. I”, Fundam. Prikl. Mat., 17:2 (2012), 3–74 ; J. Math. Sci., 186:4 (2012), 531–577	10
	2010
13.	I. N. Balaba, “Graded regular rings and modules”, Chebyshevskii Sb., 11:3 (2010), 22–31	1
14.	I. N. Balaba, V. A. Efremov, “Graded quotient rings of semiprime graded rings”, Chebyshevskii Sb., 11:1 (2010), 20–30	2
	2009
15.	I. N. Balaba, A. V. Mikhalev, “Isomorphisms and anti-isomorphisms of endomorphism rings of graded modules that are close to free ones”, Dokl. Akad. Nauk, 425:5 (2009), 583–586	1
	2008
16.	I. N. Balaba, A. V. Mikhalev, “Anti-isomorphisms of graded endomorphism rings of graded modules close to free ones”, Fundam. Prikl. Mat., 14:7 (2008), 23–36 ; J. Math. Sci., 164:2 (2010), 168–177	3
17.	I. N. Balaba, “Prime graded modules”, Fundam. Prikl. Mat., 14:4 (2008), 65–74 ; J. Math. Sci., 163:5 (2009), 487–492
18.	I. N. Balaba, “Inducibility of anti-isomorphisms of endomorphism rings of graded modules by anti-semilinear transformations”, Uspekhi Mat. Nauk, 63:3(381) (2008), 151–152 ; Russian Math. Surveys, 63:3 (2008), 551–553	1
	2007
19.	I. N. Balaba, A. V. Mikhalev, “Isomorphisms of graded endomorphism rings of graded modules close to free ones”, Fundam. Prikl. Mat., 13:5 (2007), 3–18 ; J. Math. Sci., 156:2 (2009), 209–218	4
20.	I. N. Balaba, “Isomorphisms of graded endomorphism rings of progenerators”, Fundam. Prikl. Mat., 13:1 (2007), 3–10 ; J. Math. Sci., 152:4 (2008), 451–455	5
	2006
21.	A. V. Mikhalev, I. N. Balaba, S. A. Pikhtilkov, “Prime radicals of graded $\Omega$-groups”, Fundam. Prikl. Mat., 12:2 (2006), 159–174 ; J. Math. Sci., 149:2 (2008), 1146–1156	12
	2004
22.	I. N. Balaba, “Special radicals of graded rings”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2004, no. 1, 26–33	4
	2003
23.	I. N. Balaba, S. A. Pikhtilkov, “Prime radicals of special Lie superalgebras”, Fundam. Prikl. Mat., 9:1 (2003), 51–60 ; J. Math. Sci., 128:6 (2005), 3365–3371	4
24.	I. N. Balaba, S. V. Zelenov, S. V. Limarenko, A. V. Mikhalev, “Density theorems for graded rings”, Fundam. Prikl. Mat., 9:1 (2003), 27–49 ; J. Math. Sci., 128:6 (2005), 3350–3364	2
25.	I. N. Balaba, “Graded prime PI-algebras”, Fundam. Prikl. Mat., 9:1 (2003), 19–26 ; J. Math. Sci., 128:6 (2005), 3345–3349	5
	2001
26.	I. N. Balaba, “Weakly primitive graded rings”, Uspekhi Mat. Nauk, 56:6(342) (2001), 139–140 ; Russian Math. Surveys, 56:6 (2001), 1153–1154
	1987
27.	I. N. Balaba, “Morita equivalences of categories of graded modules”, Uspekhi Mat. Nauk, 42:3(255) (1987), 177–178 ; Russian Math. Surveys, 42:3 (1987), 209–210	7
	1985
28.	I. N. Balaba, “Calculation of the dimension polynomial of a prime principal difference ideal”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 2, 16–20
	1984
29.	I. N. Balaba, “Dimensional polynomials of extension of difference fields”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, no. 2, 31–35

	2024
30.	K. A. Podrezov, V. A. Panin, I. Yu. Rebrova, V. N. Chubarikov, N. M. Dobrovol'skii, I. N. Balaba, I. V. Denisov, B. P. Van'kov, V. S. Vankova, N. N. Dobrovol'skii, Yu. M. Martynyuk, V. G. Durnev, V. N. Bezverkhnii, I. V. Dobrynina, “Ashot Enofovich Ustyn (1.09.1937 – 9.06.2024)”, Chebyshevskii Sb., 25:2 (2024), 366–367
31.	K. A. Podrezov, V. A. Panin, I. Yu. Rebrova, V. N. Chubarikov, N. M. Dobrovol'skii, I. N. Balaba, I. V. Denisov, B. P. Van'kov, V. S. Vankova, V. G. Durnev, V. N. Bezverkhnii, I. V. Dobrynina, “Martin Davidovich Grindlinger (25.03.1932 – 20.05.2024)”, Chebyshevskii Sb., 25:2 (2024), 362–363
	2022
32.	I. N. Balaba, S. S. Demidov, N. M. Dobrovol'skii, N. N. Dobrovol'skii, I. A. Ivanov-Pogodaev, A. Ya. Kanel-Belov, Yu. V. Nesterenko, I. Yu. Rebrova, A. L. Semenov, A. A. Fomin, V. G. Chirskii, V. N. Chubarikov, “To memory of Alexander Vasilyevich Mikhalev”, Chebyshevskii Sb., 23:5 (2022), 348–350
	2021
33.	V. N. Chubarikov, A. V. Mikhalev, I. B. Kozhukhov, A. Ya. Kanel-Belov, N. M. Dobrovol'skii, N. N. Dobrovol'skii, I. Yu. Rebrova, I. N. Balaba, A. P. Boshchenko, P. B. Zhdanovich, A. V. Kartashova, A. L. Rasstrigin, V. L. Usol'tsev, N. A. Shchuchkin, S. V. Syrovatskaya, “In memory of Vladimir Konstantinovich Kartashov”, Chebyshevskii Sb., 22:5 (2021), 419–421
34.	A. I. Shafarevich, V. N. Chubarikov, D. O. Orlov, A. O. Ivanov, A. V. Mikhalev, V. G. Chirskii, A. Yu. Ol'shanskii, M. V. Zaicev, I. B. Kozhukhov, A. Ya. Kanel-Belov, N. M. Dobrovol'skii, N. N. Dobrovol'skii, I. Yu. Rebrova, I. N. Balaba, “In memory of Vyacheslav Alexandrovich Artamonov”, Chebyshevskii Sb., 22:5 (2021), 417–418
35.	K. K. Andreev, G. N. Arzhantseva, V. A. Artamonov, V. S. Atabekyan, I. N. Balaba, N. V. Bezverkhny, A. A. Vdovina, V. S. Guba, A. E. Guterman, G. S. Deryabina, N. M. Dobrovolsky, M. V. Zaicev, A. L. Kanunnikov, A. A. Klyachko, O. V. Kulikova, O. V. Markova, V. H. Mikaelyan, M. V. Milentyeva, A. E. Minasyan, K. V. Mikhailovsky, A. V. Mikhalev, A. E. Pankratiev, Yu. G. Prokhorov, Yu. S. Semenov, D. A. Timashev, V. N. Chubarikov, I. A. Chubarov, E. E. Shirshova, “Alexander Yuryevich Olshanskii (to the 75th anniversary)”, Chebyshevskii Sb., 22:2 (2021), 347–365
36.	I. N. Balaba, E. I. Bunina, S. T. Glavatsky, I. B. Kozhukhov, “To the 80th anniversary of Alexander Vasilyevich Mikhalev”, Chebyshevskii Sb., 22:1 (2021), 8–26
	2020
37.	N. M. Adrianov, V. A. Artamonov, I. N. Balaba, Yu. A. Bahturin, L. A. Bokut', V. V. Borisenko, E. I. Bunina, S. A. Gaifullin, S. T. Glavatsky, I. Z. Golubchik, S. González, A. V. Grishin, A. È. Guterman, N. I. Dubrovin, M. V. Zaicev, E. I. Zel'manov, N. K. Il'ina, A. Ya. Kanel-Belov, A. L. Kanunnikov, E. S. Kislitsyn, A. A. Klyachko, I. B. Kozhukhov, E. M. Kreines, O. V. Kulikova, T. P. Lukashenko, O. V. Markova, C. Martínez, A. A. Mikhalev, A. V. Mikhalev, A. Yu. Ol'shanskii, A. E. Pentus, A. V.A. Petrov, Yu. G. Prokhorov, S. V. Pchelintsev, V. V. Tenzina, D. A. Timashev, A. A. Tuganbaev, I. N. Tumaikin, V. K. Kharchenko, I. A. Chubarov, A. A. Shafarevich, A. I. Shafarevich, I. P. Shestakov, E. E. Shirshova, V. É. Shpil'rain, “Viktor Timofeevich Markov (21.06.1948—15.07.2019)”, Fundam. Prikl. Mat., 23:2 (2020), 3–16 ; J. Math. Sci., 262:5 (2022), 592–602
	2016
38.	V. A. Artamonov, V. N. Latyshev, O. A. Pikhtilkova, I. N. Balaba, N. M. Dobrovol'skii, I. V. Dobrynina, I. Yu. Rebrova, “Pikhtilkov Sergrey Alekseevich. The life and scientific activity”, Chebyshevskii Sb., 17:1 (2016), 299–309

Presentations in Math-Net.Ru

1.	Первичные модули и бимодули I. N. Balaba September 22, 2023 16:50
2.	Graded division rings and modules over them I. N. Balaba, A V. Mikhalev XVI International Conference «Algebra, Number Theory and Discrete Geometry: modern problems, applications and problems of history» dedicated to the 80th anniversary of the birth of Professor Michel Desa May 16, 2019 10:40
3.	Endomorphisms of graded projective modules I. N. Balaba, A. V. Mikhalev XV International Conference «Algebra, Number Theory and Discrete Geometry: modern problems and applications», dedicated to the centenary of the birth of the Doctor of Physical and Mathematical Sciences, Professor of the Moscow State University Korobov Nikolai Mikhailovich May 31, 2018 10:40

Organisations

Registration to the website

Logotypes