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Makanin, Gennadiy Semenovich
(1938–2017)
Statistics
in MathSciNet: 41 (41)
in zbMATH: 34 (34)
in Web of Science: 15 (15)
in Scopus: 26 (26)
Senior Researcher
Doctor of physico-mathematical sciences
Birth date: 19.05.1938

https://www.mathnet.ru/eng/person13873
List of publications on Google Scholar
https://zbmath.org/authors/ai:makanin.gennady-s
https://mathscinet.ams.org/mathscinet/MRAuthorID/207501
https://elibrary.ru/author_items.asp?authorid=3431

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2015
1. G. S. Makanin, A. Sh. Malkhasyan, “General solution of quadratic equations in free groups”, Proceedings of the Yerevan State University. Physical and Mathematical Sciences., 2015, no. 2, 62–65  mathnet  zmath

   2011
2. G. S. Makanin, “Parametrization of the Solutions of the Equation $x_1x_2\dots x_{n-1}x_n=x_nx_{n-1}\dots x_2x_1$ in a Free Monoid”, Math. Notes, 89:6 (2011), 839–844  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2004
3. G. S. Makanin, “Finite parametrization of solutions of equations in a free monoid. II”, Sb. Math., 195:4 (2004), 521–552  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
4. G. S. Makanin, “Finite parametrization of solutions of equations in a free monoid. I”, Sb. Math., 195:2 (2004), 187–235  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2001
5. H. Abdulrab, P. Goralčík, G. S. Makanin, “Towards parametrizing word equations”, Theor. Inform. Appl., 35:4 (2001), 331–350  crossref  mathscinet  zmath  isi  elib  scopus 1
6. G. S. Makanin, “Parametrization of solutions of the equation $x^{-1}y^{-1}xyz^{-1}v^{-1}zv=1$ in a free group”, Discrete Math. Appl., 11:3 (2001), 235–290  mathnet  crossref  mathscinet  zmath  scopus
7. G. S. Makanin, A. G. Savushkina, “An Equation in a Free Group Defining Pure Braids”, Math. Notes, 70:4 (2001), 535–544  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2000
8. G. S. Makanin, T. A. Makanina, “Parametrisation of solutions of parametric equation in free monoid”, Theoret. Comput. Sci., 242:1-2 (2000), 403–475  crossref  mathscinet  zmath  isi  elib  scopus 5
9. G. S. Makanin, T. A. Makanina, “Functions for parametrization of solutions of an equation in a free monoid”, Trans. Amer. Math. Soc., 352:1 (2000), 1–54  crossref  mathscinet  zmath  isi  elib  scopus 5

   1999
10. G. S. Makanin, T. A. Makanina, “Parametrization of solutions of some equations of squares in a free monoid”, Discrete Math. Appl., 9:4 (1999), 419–435  mathnet  crossref  mathscinet  zmath

   1997
11. G. S. Makanin, H. Abdulrab, P. Goralcik, “Functions for the general solution of parametric word equations”, Logical foundations of computer science (Yaroslavl, 1997), Lecture Notes in Comput. Sci., 1234, Springer, Berlin, 1997, 189–202  crossref  mathscinet  zmath  scopus 4

   1996
12. G. S. Makanin, “Multiplication of natural number parameters and equations in a free semigroup”, Trans. Amer. Math. Soc., 348:12 (1996), 4813–4824  crossref  mathscinet  zmath  isi  elib  scopus 5
13. G. S. Makanin, P. Goralcik, Structure of the solutions one parametric equation, Report of research LTR INSA Rouen, 1996 , 13 pp.  zmath

   1995
14. G. S. Makanin, H. Abdulrab, M. N. Maksimenko, “Formal parametric equations”, Fundamentals of computation theory (Dresden, 1995), Lecture Notes in Comput. Sci., 965, Springer, Berlin, 1995, 353–362  crossref  mathscinet  scopus 4

   1994
15. G. S. Makanin, H. Abdulrab, “On general solution of word equations”, Results and trends in theoretical computer science (Graz, 1994), Lecture Notes in Comput. Sci., 812, Springer, Berlin, 1994, 251–263  crossref  mathscinet  scopus 2

   1993
16. G. S. Makanin, H. Abdulrab, M. Maksimenko, Bunches of formal parametric equations, Institute Blaise Pascal. LITP, 93, 62, 1993  zmath
17. G. S. Makanin, H. Abdulrab, Transformation algorithm for word equations in four variables, Institute Blaise Pascal, LITP, 93, 49, 1993  mathscinet  zmath
18. G. S. Makanin, H. Abdulrab, On general solution of word eqations, Institute Blaise Pascal, LITP, 93, 42, 1993  zmath
19. G. S. Makanin, “On general solution of equations in a free semigroup”, Word equations and related topics (Rouen, 1991), Lecture Notes in Comput. Sci., 677, Springer, Berlin, 1993, 1–5  crossref  mathscinet  zmath  isi  scopus 7

   1992
20. G. S. Makanin, “Investigations on equations in a free group”, Word equations and related topics (Tübingen, 1990), Lecture Notes in Comput. Sci., 572, Springer, Berlin, 1992, 1–11  crossref  mathscinet  scopus 2

   1990
21. G. S. Makanin, “On an analogue of the Alexander–Markov theorem”, Math. USSR-Izv., 34:1 (1990), 201–211  mathnet  crossref  mathscinet  zmath  scopus

   1988
22. G. S. Makanin, “On a representation of an oriented knot”, Soviet Math. Dokl, 37:2 (1988), 522–526  mathnet  mathscinet  zmath  isi
23. G. S. Makanin, “On one decidable fragment of the elementary theory of a free group”, Voprosy Kibernet.134. Complexity Theory and Applied Mathematical Logic, eds. S. I. Adian, Nauchnyǐ sovet po kompleksnoǐ probleme “Kibernetika”, 1988, 103–114 (Russian)  mathscinet  zmath
24. G. S. Makanin, “Separable closed braids”, Math. USSR-Sb., 60:2 (1988), 521–531  mathnet  crossref  mathscinet  zmath  scopus

   1986
25. G. S. Makanin, “A reduction of the decidability problem of the theory of a free group”, Math. Notes, 40:1 (1986), 519–521  mathnet  crossref  mathscinet  zmath  isi  scopus
26. G. S. Makanin, “Razreshimost $\forall\,\exists{\dots}\exists$-teorii svobodnoi gruppy”, Primenenie metodov matematicheskoi logiki, IV vsesoyuznaya konferentsiya (Tallin, 1986), Tallin, 1986, 144–146
27. G. S. Makanin, “Unarnye kosy i uzly”, Vosmaya vsesoyuznaya konferentsiya po matematicheskoi logike (Moskva, 1986), M., 1986, 106–106

   1985
28. G. S. Makanin, “On the question of the decidability of the theory of free groups”, Fundamentals of computation theory (Cottbus, 1985), Lecture Notes in Comput. Sci., 199, Springer, Berlin, 1985, 279–284 (Russian)  crossref  mathscinet  scopus 1

   1986
29. S. I. Adian, G. S. Makanin, “Investigations on algorithmic questions of algebra”, Proc. Steklov Inst. Math., 168 (1986), 207–226  mathnet  mathscinet  zmath

   1985
30. G. S. Makanin, “Decidability of the universal and positive theories of a free group”, Math. USSR-Izv., 25:1 (1985), 75–88  mathnet  crossref  mathscinet  zmath  scopus

   1983
31. G. S. Makanin, “Equations in a free group”, Math. USSR-Izv., 21:3 (1983), 483–546  mathnet  crossref  mathscinet  zmath  scopus

   1982
32. G. S. Makanin, “Equations in a free semigroup and a free group”, I Internationaler Workshop GTI (Paderborn, 1982), Paderborn, 1982  zmath
33. G. S. Makanin, “Uravneniya v svobodnoi gruppe”, Shestaya vsesoyuznaya konferentsiya po matematicheskoi logike (Tbilisi, 1982), Tbilisi, 1982, 101–101

   1981
34. G. S. Makanin, “Equations in a free semigroup”, Amer. Math. Soc. Transl. Ser. 2, 117 (1981), 1–6  zmath

   1980
35. G. S. Makanin, “Equations on a free semigroup”, Proceedings of the International Congress of Mathematicians (Helsinki, 1978), v. 1, Acad. Sci. Fennica, Helsinki, 1980, 263–268 (Russian)  mathscinet
36. G. S. Makanin, “Recognition of the rank of equations in a free semigroup”, Math. USSR-Izv., 14:3 (1980), 499–545  mathnet  crossref  mathscinet  zmath  isi  scopus

   1978
37. G. S. Makanin, “Recognizing the rank of coefficientless equations in a free semigroup”, Soviet Math. Dokl., 19:6 (1978), 1434–1437  mathnet  mathscinet  mathscinet  zmath
38. G. S. Makanin, “Systems of standard equations in words of an $n$-layer alphabet with unknowns”, Siberian Math. J., 19:3 (1978), 448–454 (1979)  mathnet  crossref  mathscinet  mathscinet  zmath  isi  scopus

   1977
39. G. S. Makanin, “The problem of solvability of equations in a free semigroup”, Math. USSR-Sb., 32:2 (1977), 100–198  mathnet  crossref  mathscinet  zmath  isi  scopus

   1976
40. G. S. Makanin, “On the rank of coefficientless equations in four unknowns in a free semigroup”, Math. USSR-Sb., 29:2 (1976), 257–280  mathnet  crossref  mathscinet  zmath  isi  scopus
41. G. S. Makanin, “Elementarnye uravneniya v svobodnoi polugruppe”, IV Vsesoyuznaya konferentsiya po matematicheskoi logike (Kishinëv, 1976), Kishinëv, 1976, 79–79

   1972
42. G. S. Makanin, “On systems of equations in free groups”, Sib. Math. J., 13:3 (1972), 402–408  mathnet  crossref  mathscinet  mathscinet  zmath  scopus

   1977
43. G. S. Makanin, “The problem of solvability of equations in a free semigroup”, Soviet Math. Dokl., 18:2 (1977), 330–334  mathnet  mathscinet  mathscinet  zmath

   1972
44. G. S. Makanin, “Ob uravneniyakh v svobodnykh gruppakh i v svobodnykh polugruppakh”, Vtoraya vsesoyuznaya konferentsiya po matematicheskoi logike (Moskva, 1972), M., 1972, 27–28

   1971
45. G. S. Makanin, “On normalizers in the braid group”, Math. USSR-Sb., 15:2 (1971), 167–175  mathnet  crossref  mathscinet  zmath  scopus

   1968
46. G. S. Makanin, “Problema sopryazhennosti v gruppe kos”, Dokl. AN SSSR, 182:3 (1968), 495–496  mathnet  mathscinet  mathscinet  zmath 2
47. G. S. Makanin, “Gruppa kos pyatogo poryadka”, IX Vsesoyuznyi algebraicheskii kollokvium (Gomel, 1968), Gomel, 1968, 128–128

   1967
48. G. S. Makanin, “K probleme tozhdestva v konechno-opredelënnykh gruppakh”, VIII Vsesoyuznyi kollokvium po obschei algebre (Riga, 1967), Riga 1967, 1967, 81–81

   1966
49. G. S. Makanin, “The identity problem in finitely defined semigroups”, Soviet Math. Dokl., 7:6 (1966), 1478–1480  mathnet  mathscinet  mathscinet  zmath

   1964
50. G. S. Makanin, “Novyi razreshimyi sluchai problemy razresheniya ischisleniya predikatov pervoi stupeni”, Formalnaya logika i metodologiya nauki, Nauka, M., 1964, 125–153  zmath

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