01.01.06 (Mathematical logic, algebra, and number theory)
E-mail:
Keywords:
the wreath product of permutation group, finite width,
Bergman property, skew linear group
UDC:
517.977, 517.929
Subject:
theory of differential-difference equations
Main publications:
A. A. Korobov, “Decomposition of a simple transformation into a product of simple transformations with given parameters”, Some problems in differential equations and discrete mathematics, Novosibirsk, Gos. Univ.,, Novosibirsk, 1986, 28–33 http://apps.webofknowledge.com/summary.do?SID=T2Uo9nEASOKlSzo13xf&product=WOS&parentQid=7&UT=WOS
A. A. Korobov, “Kriterii suschestvovaniya periodicheskikh i razreshimykh dopolnenii normalnykh podgrupp v algebraicheskikh lineinykh gruppakh”, Matematicheskii analiz i diskretnaya matematika, Mezhvuzovskii sbornik nauchnykh trudov, eds. M. M. Lavrentev, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 1988, 27-31
A. A. Korobov, Bazy tozhdestv nekotorykh treugolnykh lineinykh grupp, Preprint № 17, IM SO RAN, Novosibirsk, 1992 , 36 pp., (Eta publikatsiya tsitiruetsya v diss. Korobova) http://search.rsl.ru/ru/catalog#ltr=Korobo&st=author
A. A. Korobov, “Characterization of dilatations expressible as a product of independent simple transformations”, (Eta statya tsitiruetsya v diss. Korobova), Proceeding of the IIIrd International Conference on Algebra (Krasnoyarsk, 1993). (Krasnoyarsk, 1993), Walter de Greyter,, Berlin – New York, 1995, 143-149
A. A. Korobov, “Reshetki podmnogoobrazii lieva tipa i bazy tozhdestv nekotorykh treugolnykh grupp”, Gruppovye i metricheskie svoistva otobrazhenii, Mezhvuzovskii sbornik nauchnykh trudov, eds. M. M. Lavrentev, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 1995, 37-48
A. A. Korobov, Sootnosheniya v lineinykh gruppakh, Dissertatsiya na soiskanie uchenoi stepeni kandidata fiziko-matematicheskikh nauk, IM SO RAN, Novosibirsk, 1999 , 54 pp. http://dlib.rsl.ru/rsl01000000000/rsl01000218000/rsl01000218616/rsl01000218616.pdf
A. A. Korobov, “ON ALGEBRAIC APPROACH TO SOLVING A NEW PROBLEM OF OPTIMAL CONTROL”, Vychisl. Tekhnol., 8:4 (2003), 283 - 289
A. A. Korobov, “Ob algebraicheskom metode dlya resheniya odnoi zadachi optimalnogo upravleniya”, Infokommunikatsionnye i vychislitelnye tekhnologii i sistemy, Materialy Vserossiiskoi konferentsii (Ulan-Ude - Baikal, 5-9 avgusta 2003 g.), ISBN 5-85213-721-9, chast 2, eds. A. P. Semenov, A. S. Buldaev, Izd-vo Buryatskogo gosuniversiteta, Ulan-Ude, 2003, 9-11 http://csl.isc.irk.ru/cgi/cgiirbis_64.exe?LNG=&C21COM=S&I21DBN=CSL&P21DBN=CSL&S21FMT=fullwebr&S21ALL=(
A. A. Korobov, “Razdelennye raznosti v teorii differentsialno-raznostnykh uravnenii i v teorii grupp”, (Eta statya tsitiruetsya v Mi smj2324, MR2369826, Zbl 1139.20032, WOS:000254995700010, http://arxiv.org/pdf/0707.0571v1.pdf), Vestn. NGU. Ser. matem., mekh., inform., 6:3 (2006), 25–48 , ZentralBlatt: 1240.20045
A. A. Korobov, “Novye effektivnye usloviya tochechnoi polnoty dlya lineinykh sistem s zapazdyvaniem”, Differentsialnye uravneniya i protsessy upravleniya, 2006, no. 3, 28 - 54 http://elibrary.ru/download/14395577.pdf
A. A. Korobov, “Effective conditions for the pointwise-completeness of linear systems with delay”, J. Appl. Industr. Math., 3:1 (2009), 78–95
A. A. Korobov, “O novykh effektivnykh usloviyakh tochechnoi polnoty dlya lineinoi sistemy s zapazdyvaniem”, (Eta publikatsiya tsitiruetsya v Mi sjim624), Differentsialnye uravneniya, teoriya funktsii i prilozheniya., Tezisy dokladov Mezhdunarodnoi konferentsii, posvyaschennoi 100-letiyu I. N. Vekua (Novosibirsk, 28 maya – 2 iyunya 2007 g.), ISBN 978-5-94356-515-1, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 2007, 205 http://math.nsc.ru/conference/invconf/vekua07/abstracts/diff_eq/korobov.pdf
A. A. Korobov, “Novye effektivnye usloviya tochechnoi polnoty dlya lineinykh sistem s zapazdyvaniem”, (Eta statya tsitiruetsya v Mi sjim833, Mi sjim624), Materialy Mezhdunarodnoi konferentsii «Vychislitelnaya matematika, differentsialnye uravneniya, informatsionnye tekhnologii» (Ulan-Ude − Baikal, 24-28 avgusta 2009 g.), Izd-vo VSGTU, Ulan-Ude, 2009, 216-223 http://lib.esstu.ru/cgi-bin/irbis64r_12/cgiirbis_64.exe?LNG=&C21COM=S&I21DBN=BOOK&P21DBN=BOOK&S21FMT=fullwebr&S21ALL=
A. A. Korobov, “On pointwise complete pairs of linear transformations”, Journal of Applied and Industrial Mathematics, 5:2 (2011), 231-239 http://download.springer.com/static/pdf/961/art
A. A. Korobov, “Effektivnyi algoritm dlya opredeleniya tochechnoi polnoty i tochechnoi vyrozhdennosti lineinykh sistem poryadka 12 s zapazdyvaniem”, IV Mezhdunarodnaya konferentsiya «MATEMATIKA, EE PRILOZhENIYa I MATEMATIChESKOE OBRAZOVANIE» (Ulan-Ude, Baikal, 27 iyunya - iyulya 2011 g.), ISBN 978-5-89230-390-3, chast 2, Izd-vo VSGTU, Ulan-Ude, 2011, 107-111 http://lib.esstu.ru/cgi-bin/irbis64r_12/cgiirbis_64.exe?LNG=&C21COM=S&I21DBN=BOOK&P21DBN=BOOK&S21FMT=fullwebr&S21ALL=
A. A. Korobov, “O predstavleniyakh veschestvennykh algebr s deleniem”, Matematicheskie zametki SVFU, 19:2 (2012), 68-72 http://s-vfu.ru/universitet/rukovodstvo-i-struktura/instituty/niim/mzsvfu/electronic-version-of-the-magazine/12-02.pdf
A. A. Korobov, “Spletenie, imeyuschee konechnuyu shirinu”, Matematicheskie zametki YaGU, 20:2 (2013), 98-106 http://s-vfu.ru/universitet/rukovodstvo-i-struktura/instituty/niim/mzsvfu/electronic-version-of-the-magazine/13-02.pdf
A. A. Korobov, “Ob usloviyakh razreshimosti odnogo semeistva uravnenii Pellya”, Matematicheskie zametki YaGU, 20:1 (2013), 44-49 http://s-vfu.ru/universitet/rukovodstvo-i-struktura/instituty/niim/mzsvfu/electronic-version-of-the-magazine/13-01.pdf
A. A. Korobov, “On stability of unipotent automorphism groups of a vector space over a division ring”, Sib. Èlektron. Mat. Izv., 11 (2014), 119–129
A. A. Korobov, “Justification of an effective algorithm for determining the pointwise completeness and pointwise degeneracy of linear delay systems of order 12”, Sib. Zh. Ind. Mat., 17:2 (2014), 59–73
A. T. Gainov, A. A. Korobov, Vysshaya algebra i analiticheskaya geometriya, uchebnoe posobie, eds. M. Shikova, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 2009 , 376 pp. https://yadi.sk/i/d-Om3ku7ypscK
A. A. Korobov, “Effective conditions for the pointwise-completeness of linear systems with delay”, J. Appl. Industr. Math., 3:1 (2009), 78–95
2.
A. A. Korobov, “On pointwise degenerate linear delay-differential systems with nonnilpotent passive matrices”, J. Appl. Industr. Math., 11:3 (2017), 369–380
3.
A. A. Korobov, “On pointwise complete pairs of linear transformations”, Journal of Applied and Industrial Mathematics, 5:2 (2011), 231-239 http://download.springer.com/static/pdf/961/art
4.
A. A. Korobov, “Razdelennye raznosti v teorii differentsialno-raznostnykh uravnenii i v teorii grupp”, (Eta statya tsitiruetsya v Mi smj2324, MR2369826, Zbl 1139.20032, WOS:000254995700010, http://arxiv.org/pdf/0707.0571v1.pdf), Vestn. NGU. Ser. matem., mekh., inform., 6:3 (2006), 25–48 , ZentralBlatt: 1240.20045
A. A. Korobov, “On stability of unipotent automorphism groups of a vector space over a division ring”, Sib. Èlektron. Mat. Izv., 11 (2014), 119–129
6.
A. A. Korobov, “Justification of an effective algorithm for determining the pointwise completeness and pointwise degeneracy of linear delay systems of order 12”, Sib. Zh. Ind. Mat., 17:2 (2014), 59–73
7.
A. A. Korobov, “Spletenie, imeyuschee konechnuyu shirinu”, Matematicheskie zametki YaGU, 20:2 (2013), 98-106 http://s-vfu.ru/universitet/rukovodstvo-i-struktura/instituty/niim/mzsvfu/electronic-version-of-the-magazine/13-02.pdf
8.
A. A. Korobov, “Ob usloviyakh razreshimosti odnogo semeistva uravnenii Pellya”, Matematicheskie zametki YaGU, 20:1 (2013), 44-49 http://s-vfu.ru/universitet/rukovodstvo-i-struktura/instituty/niim/mzsvfu/electronic-version-of-the-magazine/13-01.pdf
9.
A. A. Korobov, “O predstavleniyakh veschestvennykh algebr s deleniem”, Matematicheskie zametki SVFU, 19:2 (2012), 68-72 http://s-vfu.ru/universitet/rukovodstvo-i-struktura/instituty/niim/mzsvfu/electronic-version-of-the-magazine/12-02.pdf
10.
A. A. Korobov, “Effektivnyi algoritm dlya opredeleniya tochechnoi polnoty i tochechnoi vyrozhdennosti lineinykh sistem poryadka 12 s zapazdyvaniem”, IV Mezhdunarodnaya konferentsiya «MATEMATIKA, EE PRILOZhENIYa I MATEMATIChESKOE OBRAZOVANIE» (Ulan-Ude, Baikal, 27 iyunya - iyulya 2011 g.), ISBN 978-5-89230-390-3, chast 2, Izd-vo VSGTU, Ulan-Ude, 2011, 107-111 http://lib.esstu.ru/cgi-bin/irbis64r_12/cgiirbis_64.exe?LNG=&C21COM=S&I21DBN=BOOK&P21DBN=BOOK&S21FMT=fullwebr&S21ALL=
11.
A. A. Korobov, “Novye effektivnye usloviya tochechnoi polnoty dlya lineinykh sistem s zapazdyvaniem”, (Eta statya tsitiruetsya v Mi sjim833, Mi sjim624), Materialy Mezhdunarodnoi konferentsii «Vychislitelnaya matematika, differentsialnye uravneniya, informatsionnye tekhnologii» (Ulan-Ude − Baikal, 24-28 avgusta 2009 g.), Izd-vo VSGTU, Ulan-Ude, 2009, 216-223 http://lib.esstu.ru/cgi-bin/irbis64r_12/cgiirbis_64.exe?LNG=&C21COM=S&I21DBN=BOOK&P21DBN=BOOK&S21FMT=fullwebr&S21ALL=
12.
A. A. Korobov, “O novykh effektivnykh usloviyakh tochechnoi polnoty dlya lineinoi sistemy s zapazdyvaniem”, (Eta publikatsiya tsitiruetsya v Mi sjim624), Differentsialnye uravneniya, teoriya funktsii i prilozheniya., Tezisy dokladov Mezhdunarodnoi konferentsii, posvyaschennoi 100-letiyu I. N. Vekua (Novosibirsk, 28 maya – 2 iyunya 2007 g.), ISBN 978-5-94356-515-1, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 2007, 205 http://math.nsc.ru/conference/invconf/vekua07/abstracts/diff_eq/korobov.pdf
13.
A. A. Korobov, “Effektivnye usloviya tochechnoi polnoty dlya lineinykh sistem s zapazdyvaniem”, Sib. zhurn. industr. matem., 10:1 (2007) , 96–114 pp.
14.
A. A. Korobov, “Novye effektivnye usloviya tochechnoi polnoty dlya lineinykh sistem s zapazdyvaniem”, Differentsialnye uravneniya i protsessy upravleniya, 2006, no. 3, 28 - 54 http://elibrary.ru/download/14395577.pdf
15.
A. A. Korobov, “ON ALGEBRAIC APPROACH TO SOLVING A NEW PROBLEM OF OPTIMAL CONTROL”, Vychisl. Tekhnol., 8:4 (2003), 283 - 289
16.
A. A. Korobov, “Ob algebraicheskom metode dlya resheniya odnoi zadachi optimalnogo upravleniya”, Infokommunikatsionnye i vychislitelnye tekhnologii i sistemy, Materialy Vserossiiskoi konferentsii (Ulan-Ude - Baikal, 5-9 avgusta 2003 g.), ISBN 5-85213-721-9, chast 2, eds. A. P. Semenov, A. S. Buldaev, Izd-vo Buryatskogo gosuniversiteta, Ulan-Ude, 2003, 9-11 http://csl.isc.irk.ru/cgi/cgiirbis_64.exe?LNG=&C21COM=S&I21DBN=CSL&P21DBN=CSL&S21FMT=fullwebr&S21ALL=(
17.
A. A. Korobov, Sootnosheniya v lineinykh gruppakh, Dissertatsiya na soiskanie uchenoi stepeni kandidata fiziko-matematicheskikh nauk, IM SO RAN, Novosibirsk, 1999 , 54 pp. http://dlib.rsl.ru/rsl01000000000/rsl01000218000/rsl01000218616/rsl01000218616.pdf
18.
A. A. Korobov, “Characterization of dilatations expressible as a product of independent simple transformations”, (Eta statya tsitiruetsya v diss. Korobova), Proceeding of the IIIrd International Conference on Algebra (Krasnoyarsk, 1993). (Krasnoyarsk, 1993), Walter de Greyter,, Berlin – New York, 1995, 143-149
19.
A. A. Korobov, “Reshetki podmnogoobrazii lieva tipa i bazy tozhdestv nekotorykh treugolnykh grupp”, Gruppovye i metricheskie svoistva otobrazhenii, Mezhvuzovskii sbornik nauchnykh trudov, eds. M. M. Lavrentev, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 1995, 37-48
20.
A. A. Korobov, Bazy tozhdestv nekotorykh treugolnykh lineinykh grupp, Preprint № 17, IM SO RAN, Novosibirsk, 1992 , 36 pp., (Eta publikatsiya tsitiruetsya v diss. Korobova) http://search.rsl.ru/ru/catalog#ltr=Korobo&st=author
21.
A. A. Korobov, “Kriterii suschestvovaniya periodicheskikh i razreshimykh dopolnenii normalnykh podgrupp v algebraicheskikh lineinykh gruppakh”, Matematicheskii analiz i diskretnaya matematika, Mezhvuzovskii sbornik nauchnykh trudov, eds. M. M. Lavrentev, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 1988, 27-31
22.
A. A. Korobov, “Decomposition of a simple transformation into a product of simple transformations with given parameters”, Some problems in differential equations and discrete mathematics, Novosibirsk, Gos. Univ.,, Novosibirsk, 1986, 28–33 http://apps.webofknowledge.com/summary.do?SID=T2Uo9nEASOKlSzo13xf&product=WOS&parentQid=7&UT=WOS
23.
A. A. Korobov, O. A. Korobov, Mat. Tr., 24:1 (2021), 102–116
24.
A. A. Korobov, O. A. Korobov, “On the discriminant of a quadratic field with intermediate fractions of negative norm and the decomposability of its representing polynomial”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 319–331
25.
A. A. Korobov, O. A. Korobov, “On the new representation of the virtual braid group”, Sib. Èlektron. Mat. Izv., 16 (2019), 863–875
26.
A. T. Gainov, A. A. Korobov, Vysshaya algebra i analiticheskaya geometriya, uchebnoe posobie, eds. M. Shikova, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 2009 , 376 pp. https://yadi.sk/i/d-Om3ku7ypscK