Davidov Sergey
31.10.2016

Candidate of Sciences, docent/Chair of Mathematics and its Teaching Methods

davidovsergey07@aspu.am

Candidate of Sciences, docent/Chair of Mathematics and its Teaching Methods

Fields of interests: Universal Algebras, Hyperidentities in Algebras, Functional Equations, Non-Classical Mathematical Logic

Membership: Armenian Mathematical Society

Education: 1985 – 1988 – Postgraduate student, Chair of Higher Algebra and Geometry, Faculty of Mathematics and Mechanics, Yerevan State university

1976 – 1981 – Student, Faculty of Mathematics and Mechanics, Yerevan State university

Degrees: Candidate of Sciences in Mathematics and Physics (PhD), specialization A01.06 – Algebra, Number Theory and Mathematical Logic, thesis
“Application of Algebraic Methods on Investigation of One Class of the Second Order Formulas”

Foreign Language skills: Russian, English

Professional experience: 1985 – up to date – Associate Professor, Chair of Higher Algebra and Geometry (HAG), Faculty of Mathematics and
Mechanics, Yerevan State university (YSU)

Teaching experience:Discrete mathematics, Mathematical Logic, Higher Agebra and Number Theory, Number Theory and Number Systems, 

General Algebra, Fuzzy Logic and Systems, Semigroups Theory and its Applications, Algorithm Theory, Quasigroups Theory

Selected publications: 

1. S.S.Davidov, A characterization of invertible algebras linear over a group by second-order formulas, Journal of Algebra and Its Applications, vol.16(11), 2017, 1750238 (14 pages) DOI: 10.1142/SO219498817502383
2. S.S.Davidov, Linear Invertible algebras and their nucleus, Вестник КГЭУ, Казань, 4(32), 2016, 29-49.
3. S.S.Davidov, On paramedical division groupoid, Asian-European Journal of Mathematics, vol.9, N1, 2016, 1650008(10 pages), DOI: 10.1142/S17935571160008X
4. S.S.Davidov, J.Hatami, Groups with fuzzy operations (F-groups), Journal of Mathematics and Statistical Science, vol.2, issue 3, 2016, 154-165.
5. S.S.Davidov, An embedding theorem for medial n-ary groupoids with cancellation, Armenian Journal of Mathematics, vol.7, N2, 2015, 183-193.
6. С.С.Давидов, О тримедиальных обратимых алгебрах, Математика в Высшей Школе, т.11, N2, 2015, 21-29.
7. С.С.Давидов, Регулярные и корегулярные подстановки обратимой алгебры, Математика в Высшей Школе, т.11, N1, 2015, 29-34.
8. S.S.Davidov, J.Hatami, Equational Theory of Algebras with Fuzzy Operations, Proceedings of CSIT, Yerevan, 2015, pp.32-34.
9. С.С.Давидов, Свободные коммутативные медиальные n-группоиды, Дискретная Математика, 27:1(2015), стр.34-44. DOI: 10.4213/dm1313 (Engl.transl. Discrete Mathematics and Applications, 25:4, 2015, pp.203-210.)
10. Yu.Movsisyan, S.Davidov, M.Safaryan, Construction of free g-dimonoids, Algebra and Discrete Mathematics, Volume 18 (2014). Number 1, pp.138-148.
11. С.С.Давидов, Медиальные и регулярные алгебры, Вестник КГЭУ, Казань, 4(19), 2013, стр. 36-45.
12. S. S. Davidov, On regular medial division algebras, Quasigroups and Related Systems, 21(2013), pp.157-166.
13. 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.
14. S. S. Davidov, On Invertible T-Algebras, Journal of Mathematical Sciences, Springer, V. 193, Issue 3 (2013), pp.394-400.
15. 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.
16. 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.
17. С. С. Давидов, О разрешимости эквациональной теории коммутативных медиальных n-арных группоидов, Дискретная Математика, 25:1(2013), стр.121-136.
18. 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.
19. С. С. Давидов, М. Г. Сафарян, Биполугруппы и мультиполугруппы, Математика в Высшей Школе, т.8, N3, 2012, стр.5-16.
20. Ю. М. Мовсисян, С. С. Давидов, М. Г. Сафарян, Свободные А-биполугруппы, Mathematical Problems of Computer Science, N38, 2012, pp.23-25.
21. S. S. Davidov, J. Hatami, Algebras with fuzzy operation, Mathematical Problems of Computer Science, N38, 2012, pp.49-52.
22. С. С. Давидов, Коммутативные медиальные тернарные группоиды. Известия НАН Армении. Математика, том 46, н.4, 2011, стр.3-26.
23. S. S. Davidov, A characterization of binary invertible algebras linear over a group. Quasigroups and Related Systems, vol.19, N2, 2011,pp.207-222.
24. S. S. Davidov, On structure of free commutative medial n – ary groupoid. Proceedings of CSIT, Yerevan, 2011, pp.42-43.
25. S. S. Davidov, On invertible T – algebras. Proceedings of the International Conference “Modern Algebra and its Applications”, vol.1, Georgia, 2011, pp.40-47.
Հիմնադրույթներ (Тезисы, Abstracts)
1. Yu. M.Movsisyan, S.S.Davidov, A.Krapez, On division and regular algebras with functional equations, VII International joint Conference of the Georgian Mathematical Union & Georgian Mechanical Union, September 2016, Book of Abstracts p.173.
2. Movsisyan Yu.M., Krapez A., Davidov S.S., On functional equations with division and regular operations, AMU Annual Session 2016, Yerevan 2016, 38-39.
3. S.S.Davidov, A characterization of invertible algebras linear over a group by formulae of second-order language, The 11-th International Symposium on Language, Logic and Computation, Tbilisi, Georgia, 21-26 September, 2015.(abstract)
4. S.S.Davidov, J.Hatami, Direct Product and Reduced Product of F-algebras, Armenian Mathematical Union, Annual Session, 2015, pp.21-22.
5. S.S.Davidov, J.Hatami, Groups with a fuzzy operation, Armenian Mathematical Union Annual Session 2014.
6. S.S.Davidov, J.Hatami, F-groups, 14 Iranian Conference on Fuzzy System, August 19-21, 2014, p.138. (www.icfs14.ir)
7. С. С. Давидов, Линейные над группой обратимые алгебры и ядра, Мальцевские чтения, Новосибирск, 2013, стр.152.
8. S. S. Davidov, On Regular Medial Division n-ary Groupoids, Second International Conference Mathematics in Armenia, 24-31 August 2013, Tsaghadzor, Armenia, Abstracts, pp.112-113.
9. S. S. Davidov, Nucleus of linear invertible algebras, AAA-84, Dresden, Germany, 2012, p.6.
10. С. С. Давидов, Свободные медиальные коммутативные алгебры с одной операцией, Мальцевские чтения, Новосибирск, 2011, стр.76.

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