team

Sergey Davidov

Ph.D. of Physico-mathematical Sciences

About

Education:
  • Yerevan State University / Faculty of Mechanics and Mathematics (1976 - 1981)
  • Yerevan State University / Postgraduate Studies (1985 - 1988)
  • Institute for Informatics and Automation Problems NAS of Armenia / Candidate of Physical and Mathematical Sciences, Thesis: "Application of Algebraic Methods in the Study of a Class of Second-Order Formulas"  (1994)

Work Experience:
  • 1985 – until now, Yerevan State University (YSU)

Taught Subjects:
  • Linear Algebra
  • Mathematical Logic
  • Discrete Mathematics
  • Algebra and Number Theory
  • Number Theory and Numerical Systems
  • General Algebra
  • Fuzzy Logic and Systems
  • Algorithm Theory
  • Model Theory
  • Theory of Quasigroups

Awards and Grants:
  • Identities and Super-Identities in Algebras and Their Applications

Memberships:
  • Armenian Mathematical Society
  • Dissertation Council 050, YSU

Conference Participation:
  • International Conference CSIT, Yerevan, Armenia, September 26-30, 2011
  • International Conference AAA-84, Dresden, Germany, June 8-10, 2012
  • Workshop on Operator Algebras and Quantum Semigroups, Yerevan, Armenia, June 3-7, 2013
  • International Conference Maltcev's Meetings, Novosibirsk, Russia, November 11-15, 2013
  • 14th Iranian Conference on Fuzzy Systems, August 19-21, 2014
  • Eleventh International Tbilisi Symposium on Language, Logic, and Computation, Tbilisi, Georgia, September 21-26, 2015
  • VII International Joint Conference of the Georgian Mathematical Union & Georgian Mechanical Union, September 2016
  • Fourth Mile High Conference on Nonassociative Mathematics, Denver, USA, July 29 – August 5, 2017
  • EMS Conference, Emil Artin International Conference, May 27 – June 2, 2018, Yerevan, Armenia

 

Scientific interests

  • Universal Algebra
  • Hyperidentities in algebras
  • Functional Equations
  • Functional Equations
  • Theory of Quasigroups

List of publications

  • Ю. М. Мовсисян, С. С. Давидов, Алгебры, близкие к квазигруппам, URSS, Москва, 2018
  • S. S. Davidov, Yu. M. Movsisyan, A. Krapez, Functional equations with division and regular operations, Asian-European Journal of Mathematics, vol.11, N3, 2018, 1860033 (14 pages). https://doi.org/10.1142/S179355711850033X
  • С. С. Давидов, О структуре медиальных n–арных группоидов, Матем. заметки, 104:1 (2018), 33–44. http://mi.mathnet.ru/mz11372, https://doi.org/10.4213/mzm11372
  • S. S. Davidov, A characterization of invertible algebras linear over a group by second-order formulas, Journal of Algebra and Its Applications, vol. 16, N12, 2017. 1750238 (14 pages). https://doi.org/10.1142/S0219498817502383
  • S. S. Davidov, Linear invertible algebras and their nucleus, Vestnik Kazan State Energetic University, 4(32), 2016, pp. 16-39. https://elibrary.ru/item.asp?id=29729427
  • S. S. Davidov, On paramedical division groupoid, Asian-European Journal of Mathematics, vol.9, N1, 2016, 1650008 (10 pages). https://doi.org/10.1142/S179355711650008X
  • S. S. Davidov, J. Hatami, Groups with fuzzy operations (F-groups), Journal of Mathematics and Statistical Science, vol. 2, N3, 2015, pp. 154-165. http://www.ss-pub.org/jmss/groups-with-fuzzy-operations-f-groups/
  • S. S. Davidov, An embedding theorem for medial n-ary groupoids with cancellation, Armenian Journal of Mathematics, vol. 7, N2, 2015, pp. 183-193. http://www.armjmath.sci.am/index.php/ajm/article/view/119
  • S. S. Davidov, Free commutative medial n-ary groupoids, Discrete Mathematics and Applications, 25:4, 2015, pp. 203-210. https://doi.org/10.4213/dm1313 Yu. Movsisyan, S. Davidov, M. Safaryan, Construction of free g-dimonoids, Algebra and Discrete Mathematics, vol. 18, N1, 2014, pp. 138-148. http://mi.mathnet.ru/adm486
  • S. S. Davidov, On regular medial division algebras, Quasigroups and Related Systems, 21(2013), pp.157-166. http://www.quasigroups.eu/
  • S. S. Davidov, On the solvability of the equational theory of commutative medial n-ary groupoids, Discrete Mathematics and Applications, vol.23, Issue 2(2013), pp. 125-143. https://doi.org/10.4213/dm1225
  • S. S. Davidov, On Invertible T-Algebras, Journal of Mathematical Sciences, Springer, volume 193, Issue 3 (2013), pp.394-400. https://doi.org/10.1007/s10958-013-1467-6
  • S. S. Davidov, On the Invertible Algebras Linear over an Abelian Group, Journal of Contemporary Mathematical Analysis, volume 48, Issue 4 (2013), pp.158-165. https://doi.org/10.3103/S1068362313040031
  • Yu. M. Movsisyan, S. S. Davidov, M. G. Safaryan, On free A-bisemigroups, CSIT Proceedings of the Conference, September 23-27, Yerevan, 2013, Armenia, pp.42-44.
  • S. S. Davidov, Medial and regular algerbras, Vestnik Kazan State Energetic University, 4(19), 2013, pp. 36-45. https://elibrary.ru/item.asp?id=21784722
  • S. S. Davidov, A characterization of binary invertible algebras of various type of linearity, Quasigroups and Related Systems, v.20, N2, 2012, pp.169-176. http://www.quasigroups.eu/

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