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Belyavskaya Galina
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Research interests
Theory of quasigroupsImportant publications
- Квазигруппы: тождества с подстановками, линейность и ядра.
Галина Белявская. Lambert Academic Publishing (LAP), Saarbrucken, Deutschland/ Германия, 71 pp., 2013. ISNB: 973-3-659-39143-9. - Тождества с подстановками и квазигруппы, изотопные группам и абелевым группам.
Г. Б. Белявская, Дискретная Математика, т. 25, вып. 2, 2013, pp. 68-81. - Identities with permutations and quasigroups isotopic to groups and Abelian groups.
Belyavskaya G. B. Discrete Mathematics and Applications. Vol. 23, Issue 3-4, 2013, pp. 369-384. - О графах, связанных с квазигруппами в книге Topics in Graph Theory.
Белявская Г. Б., Попович Т. The Volume dedicated to the 90-th birthday of Prof. A. A Zykov. University of Illinois at Urbana-Champaign., 2013, pp. 187-193. - Recursively r-differentiable quasigroups within S-systems and MDS-codes.
Belyavskaya G. B., "Quasigroups and Related Systems", 2012, vol. 20, no. 2, p. 157-168. - Conjugate sets of loops and quasigroups. DC-quasigroups.
Belyavskaya G. B., Popovich T. Bul. Acad. de Ştiinţe a Republicii Moldova. Matematica, N1 (59), 2012, p. 21-32. - Recursively r-differentiable quasigroups within S-systems and MDS-codes.
Belyavskaya G. B., "Quasigroups and Related Systems", 2012, vol. 20, no. 2, p. 157-168. - Totally conjugate orthogonal quasigroups and complete graphs.
Belyavskaya G. B., Popovich T. Journal of Mathematical Sciences, vol.185, N2, August 2012, p. 184-191. - Check character systems and totally conjugate orthogonal T-quasigroups.
G. Belyavskaya, Quasigroups and Related Systems, v. 18, no. 1 (2010), p.7-16. - Polynomial k-ary operations, matrices and k-mappings.
G. Belyavskaya, Journal of Generalized Lie Theory and Applications, v. 4 (2010), p. 1-8. - Groupoids with the identity defining the commutative Moufang loops.
G. Belyavskaya, A. Tabarov, Journal of Mathematical Sciences, USA (N.Y.), v. 164, Issue 1 (2010), p. 21-27. - Тотально парастрофно-ортогональные квазигруппы и полные графы.
Г. Белявская, Т. Попович, Фундаментальная и прикладная математика, Москва, т. 16, N. 6, 2010, стр. 35-45. - Тождества с подстановками, приводящие к линейности квазигруппы.
Г.Б. Белявская, А.Х. Табаров, Дискретная математика, Москва, т. 21, вып. 1, 2009, стр. 36- 52. - Secret-sharing schemes and orthogonal systems of k-ary operations.
G. Belyavskaya, Quasigroups and Related Systems, v. 17, no. 2 (2009), p.161-176. - О группоидах с тождеством, определяющим коммутативные лупы Муфанг.
Г.Б. Белявская, А.Х. Табаров, Фундаментальная и прикладная математика, т. 14, N 6, 2008, стр. 33-39. - S-systems of n-ary quasigroups.
G. Belyavskaya, Quasigroups and related systems. V. 15 (2007), N2, pp.251-260. - Quasigrupuri şi sisteme adiacente.
G. Belyavskaya, V. Izbaş, În cartea „Elemente de istorie a matematicii şi matematica în Republica Moldova” (M.M. Cioban, I..I Valuţă), 2006, pp. 292-305. - Strongly orthogonal and uniformly orthogonal many-placed operations.
G. Belyavskaya, G. Mullen, Algebra and Discrete Mathematics, Ukraine, N1, 2006, pp. 1-17. - Check character systems using quasigroups II.
G. Belyavskaya, V. Izbash, G. Mullen, Codes, Designs and Cryptography, 37, 2005, pp. 405-419. - Check character systems using quasigroups I.
G. Belyavskaya, V. Izbash, G. Mullen, Codes, Designs and Cryptography, 37, 2005, pp. 215-227. - Check character systems over quasigroups and loops (Survey).
G. Belyavskaya, V. Izbash, V. Shcherbacov, Quasigroups and related systems, 10 (2003), pp.1-28. - Ассоцианты и коммутанты квазигрупп.
Белявская Г.Б., "Фундаментальная и прикладная математика". М., 1997, Т.3, с. 715-737. - Теория квазигрупп: ядра, центр, коммутант.
Белявская Г.Б., Изв. АН РМ. Математика, 1996, 2(21), с. 47-71. - Ассоциаторы, коммутаторы и линейность квазигрупп.
Белявская Г.Б., Дискр. Математика, М., 1995, Т.7, вып. 4, с.116-125. - r- Orthogonal latin squares.
Белявская Г.Б., Annals of Discrete Mathematics. V.46,1991. North-Holland-Amsterdam. P.169-202. - Латинские квадраты, квазигруппы и их приложения
Белоусов В.Д., Белявская Г.Б., Chişinău, Ştiinţa, 1989, 80 с.
Membership in Societies and Editorial Boards
- Advisory Editor of the journal "Quasigroups and related systems".
- Member of editorial board of the journal "Buletinul Academiei de Stiinte a Republicii Moldova. Matematica".
Publications in Computer Science Journal of Moldova, Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica and Quasigroups and Related Systems
- 2014 Parastrophically equivalent identities characterizing quasigroups isotopic to abelian groups
- 2014 Successively orthogonal systems of k-ary operations
- 2014 Near-totally conjugate orthogonal quasigroups
- 2012 Recursively r-differentiable quasigroups within S-systems and MDS-codes
- 2012 Conjugate sets of loops and quasigroups. DC-quasigroups
- 2009 Secret-sharing schemes and orthogonal systems of k-ary operations
- 2010 Check character systems and totally conjugate orthogonal T-quasigroups
- 2005 Valentin Danilovich Belousov -- his life and work
- 2005 Orthogonal hypercubes and n-ary operations
- 2007 S-systems of n-ary quasigroups
- 2002 Quasigroup power sets and cyclic S-systems
- 2003 Check character systems over quasigroups and loops
- 1995 The 70th anniversary of V.D.Belousov
- 1994 One-sided T-quasigroups and irreducible balanced identities
- 1994 Abelian quasigroups and T-quasigroups
- 1998 Centrally isotopic quasigroups
- 2009 Conjugate-orthogonality and the complete multiplication group of a quasigroup.
- 2007 Power sets of n-ary quasigroups.
- 2007 Identities with permutations associated with quasigroups isotopic to groups.
- 2005 Pairwise orthogonality of n-ary operations.
- 2005 On some quasi-identities in finite quasigroups.
- 2004 On check character systems over groups. (English)
- 1998 On commutators of quasigroup congruences. (English)
- 1996 Theory of quasigroups: nuclei, center and commutator. (Russian)
- 1992 Centre and multiplication groups of quasigroups. (English)
- 1991 The nuclei and center of linear quasigroups. (Russian)
