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Publication List by A. I. Kostrikin 1955–1997

  1. ——, “Solution of the restricted Burnside problem for exponent 5,”Izv. Akad. Nauk SSSR, Ser. Mat.,19, 233–244 (1955).

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  2. ——, “On Lie rings satisfying an Engel condition,”Dokl. Akad. Nauk SSSR,108, 580–582 (1956).

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  3. A. I. Kostrikin “Nilpotent groups and Lie rings,” in:Proc. 3 rd All Union. Math. Congress [in Russian], Moscow, Vol. 1, 26 (1956).

  4. ——, “On the connection between periodic groups and Lie rings,”Izv. Akad. Nauk SSSR, Ser. Mat.,21, 289–310 (1957).

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  5. ——, “Lie rings satisfying an Engel condition,”Izv. Akad. Nauk SSSR, Ser. Mat.,21, 515–540 (1957).

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  6. ——, “Homology groups of nilpotent algrebras,”Dokl. Akad. Nauk SSSR,115, 1066–1069 (1957). Jointly with I.R. Shafarevich.

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  7. ——, “On the local nilpotency of Lie rings satisfying an Engel condition,”Dokl. Akad. Nauk SSSR,118, 1074–1077 (1958).

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  8. ——, “On Burnside’s problem,”Dokl. Akad. Nauk SSSR,119, 1081–1084 (1958).

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  9. ——, “On Burnside’s problem,”Izv. Akad. Nauk SSSR, Ser. Mat.,23, 3–34 (1959).

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  10. ——, “On the Engel properties of groups satisfying the identical relationx pα =1,”Dokl. Akad. Nauk SSSR,135, 524–526 (1960).

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  11. ——, “On simple Liep-algebras,”Trudy Mat. Inst. Steklov.,64, 79–89 (1961).

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  12. ——, “Lie algebras and finite groups,” in:Proc. Intern. Congr. Math., Stockholm 1962, Inst. Mittag-Lefler, Djursholm (1963), pp. 264–269.

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  13. ——, “On Lie algebras with regular automorphism,”Dokl. Akad. Nauk SSSR,149, 249–251 (1963). Jointly with V. A. Kreknin.

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  14. ——, “Strong degeneracy of simple Liep-algebras,”Dokl. Akad. Nauk SSSR,150, 248–250 (1963); English translation:Sov. Math. Dokl. 4, 637–640 (1963).

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  15. A. I. Kostrikin. Preface to the Russian translation of N. Jacobson,Lie Algebras, Mir (1964), pp. 5–6.

  16. ——, VII Congress of the National Union of Italian Mathematicians,Vestn. AN SSSR, No. 1, 79 (1964).

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  17. ——, “On homogeneous algebras,”Izv. Akad. Nauk SSSR, Ser. Mat.,29, No. 2, 471–484 (1965).

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  18. ——, “On the presentation of groups,”Izv. Akad. Nauk SSSR, Ser. Mat.,29, No. 5, 1119–1122 (1965).

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  19. ——, “On the height of simple Lie algebras,”Dokl. Akad. Nauk SSSR,162, No. 5, 992–994 (1965); English translation:Sov. Math. Dokl.,6, 794–797 (1965).

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  20. ——, “Cartan pseudogroups and Liep-algebras,”Dokl. Akad. Nauk. SSSR,168, No. 4, 740–742 (1966); English translation:Sov. Math. Dokl.,7, 715–718 (1966). Jointly with I. R. Shafarevich.

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  21. ——, “Cartan pseudogroups and Liep-algebras,” in:Proc. Intern. Congr. Mathem., Section 2 [in Russian], Mir, Moscow (1966). Jointly with I. R. Shafarevich.

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  22. A. I. Kostrikin, “Zum Problem von Gruppen mit Erzeugenden und definier. Relationen,” in:Berichte math. Forschungsinst. Oberwohlfach (Conf. 1964), (1966), No. 2, pp. 143–144.

  23. ——, “Finite groups,” in:Progress in Science and Technology, Series on Algebra [in Russian], 1964, All-Union Institute for Scientific and Technical Information (VINITI), Akad. Nauk SSSR, Moscow (1966), pp. 7–46.

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  24. ——, “Squares of adjoint endomorphisms in simple Liep-algebras,”Izv. Akad. Nauk SSSR, Ser. Mat. 31, No. 2, 445–487 (1967); English translation:Math. USSR-Izv.,1, 434–473 (1967).

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  25. ——, “A theorem on semisimple Liep-algebras,”Mat. Zametki,2, No. 5, 465–474 (1967); English translation:Math. Notes,2, 773–778 (1967).

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  26. ——, Preface to the Russian translation of S. Lang,Algebra, Mir, Moscow (1968), 5.

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  27. ——, “Graded Lie algebras of finite characteristic,”Izv. Akad. Nauk SSSR, Ser. Mat.,33, No. 2, 251–322 (1969); English translation:Math. USSR-Izv. 3, 237–304 (1969). Jointly with I. R. Shafarevich.

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  28. ——, “A parametric family of simple Lie algebras,”Izv. Akad. Nauk SSSR, Ser. Mat.,34, No. 2, 744–756 (1970); English translation:Math. USSR-Izv.,4, 751–764 (1970).

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  29. ——, “Irreducible graded Lie algebras with the componentL 0⋟W 1,”Mat. Zapiski Ural. State Univ., Sverdlovsk,7, No. 3, 92–103 (1970).

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  30. ——,Variations Modulaires sur un Thème de Cartan, Actes Cong. Intern. Math. 1970, Paris (1971), Vol. 1, pp. 285–292.

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  31. ——, “Some aspects of Lie algebra theory,” in:Selected questions of algebra and logic. Collection dedicated to the memory of A. I. Maltsev [in Russian], Nauka, Novosibirsk (1973) pp. 142–160.

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  32. ——, “Some related questions in the theory of groups and Lie algebras,” in:Proc. Second Intern. Conf. Theory of Groups. Canberra, 1973,Lect. Notes Math., Vol. 372, Springer, Berlin (1974), pp. 409–416.

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  33. ——,Introduction to Algebra [in Russian], Nauka, Moscow (1977). Translations. Spanish: Moscu: Editorial MIR. Primera edición 1978. Segunda edición 1983. Segunda Edición revisada: Madrid; Mc Graw-Hill, 1992. Moscu: Editorial MIR 1993. French: Moscou: Éditions MIR. 1re édition 1981. 2e édition 1986. Bulg.: Sofia: Nauka and izkustvo. 1981. Polish: Warszawa: Wydawnictwo Naukowe PWN., 1984. English: New York-Heidelberg-Berlin: Springer-Verlag, Universitext, 1982. China, in two volumes: Beijing, 1988.

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  34. A. I. Kostrikin, “The Burnside’s problem on periodic groups,” in:Mat. Encyclopaedia [in Russian], Vol. 1 (1977), pp. 416–418.

  35. ——, “Deformations of Lie algebrasW 1(m),”Trudy Mat. Inst. Steklov,148, 141–155 (1978). Jointly with A. S. Djumadil’daev.

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  36. ——, “Sandwiches in Lie algebras,”Mat. Sb.,110(152), No. 1, 3–12 (1979); English translation:Math. USSR Sb.,38 1–9 (1981).

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  37. A. I. Kostrikin, “Finite group,” in:Mat. Encyclopaedia [in Russian], Vol. 2 (1979), pp. 1016–1018.

  38. ——,Linear Algebra and Geometry [in Russian], Publ. House Moscow Univ., Moscow (1980). Jointly with Ju. I. Manin.

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  39. ——,Algebra in Moscow University [in Russian], Collection of Algebra. Publ. House Moscow Univ., Moscow (1980), pp. 3–10.

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  40. ——, “Orthogonal decompositions of simple Lie algebras,”Dokl. Akad. Nauk SSSR,260, No. 3, 526–530 (1981); English translation:Sov. Math. Dokl.,24, No. 2, 292–296 (1981). Jointly with I. A. Kostrikin and V. A. Ufnarovskij.

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  41. ——, “Orthogonal decompositions of simple Lie algebras (typeA n ),”Trudy Mat. Inst. Steklov,158, 105–120 (1981); English translation:Proc. Steklov Inst. Math., iss.4 (158), 113–130 (1083). Jointly with I. A. Kostrikin and V. A. Ufnarovskij.

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  42. ——, “Decompositions in simple Lie algebras,”Abstracts of Proc. 16th All-Union Alg. Conf., Leningrad [in Russian], Vol. 1 (1981), 83. Jointly with I. A. Kostrikin and V. A. Ufnarovskij.

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  43. ——, “Multiplicative orthogonal decompositions of simple Lie algebras,”Dokl. Akad. Nauk SSSR,262, No. 1, 29–33 (1982); English translation:Sov. Math. Dokl.,25, No. 1, 23–27 (1982). Jointly with I. A. Kostrikin and V. A. Ufnarovskij.

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  44. ——, “Criterion for the solvability of a finite dimensional Lie algebra,”Vestn. Mosk. Univ., Ser. I, Mat. Mekh., No. 2, 5–8 (1982).

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  45. A. I. Kostrikin, “On the question about the uniqueness of orthogonal decompositions of Lie algebras of typesA n andC n ,” Abstracts,Proc. 5th All-Union Symp. Rings, algebras, and Module Theory [in Russian], Novosibirsk (1982), 80. Jointly with I.A. Kostrikin and V. A. Ufnarovskij.

  46. ——,Mathematical heritage of O. Ju. Schmidt [in Russian], Collection of Algebra (on the 90th birthday of O. Ju. Schmidt), Publ. House Moscow Univ., Moscow (1982), pp. 3–6.

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  47. A. I. Kostrikin, “Lie algebra,” in:Mat. Encyclopaedia [in Russian], Vol. 3 (1982), pp. 242–245. Jointly with V. L. Popov.

  48. A. I. Kostrikin “Liep-algebra,” in:Mat. Encyclopaedia [in Russian], Vol. 3 (1982), pp. 248–249.

  49. ——, “On the question about the uniqueness of orthogonal decompositions of Lie algebras of typesA n andC n . I, II,”Issledovaniya po algebre i topologii. Mat. Issled. Issue74, Shtiinca, Kishinev (1983) pp. 80–116. Jointly with I. A. Kostrikin and V. A. Ufnarovskij.

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  50. A. I. Kostrikin, “Decompositions in simple Lie algebras,” Preprint, Kishinev, Inst. Mat. (1983). Jointly with I. A. Kostrikin and V. A. Ufnarovskij.

  51. A. I. Kostrikin, “On decompositions of Lie algebras and associated integral lattices,” Abstracts,Proc. 17th All-Union. Alg. Conf. Part 1 [in Russian], Minsk (1983), pp. 102–103. Jointly with I. A. Kostrikin and V. A. Ufnarovskij.

  52. ——, “Invariant lattices of typeG 2 and their automorphism groups,”Trudy Mat. Inst. Steklov,165, 79–97 (1984); English translation:Proc. Steklov Inst. Math., iss.3(165), 85–106 (1985). Jointly with I. A. Kostrikin and V. A. Ufnarovskij.

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  53. ——, “On decompositions of classical Lie algebras,”Trudy Mat. Inst. Steklov,166, 107–122 (1984); English translation:Proc. Steklov Inst. Math., iss 1(166), 117–134 (1986). Jointly with I. A. Kostrikin and V. A. Ufnarovskij.

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  54. ——, “Lie algebras and finite groups,”Trudy Mat. Inst. Steklov,168, 132–154 (1984).

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  55. A. I. Kostrikin, “Conservative polynomials,” in:Research in Algebra [in Russian], Moscow Univ.-Tbilisi Univ. Publ. House (1984), pp. 115–129.

  56. A. I. Kostrikin, “Otto Jul’evich Schmidt as a mathematician,” in:O. Ju. Schmidt and Soviet Geophysics over 80 Years [in Russian], Moscow (1984), 37–40.

  57. A. I. Kostrikin, “Representations of finite groups”, in:Progress in Science and Technology, Series on Algebra, Topology, Geometry [in Russian], All-Union Institute for Scientific and Technical Information (VINITI), Akad. Nauk SSSR, Vol. 23, Moscow (1985), pp. 119–195. Jointly with I. A. Chubarov.

  58. ——,Around Burnside, Nauka, Fizmatlit, Moscow (1986).

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  59. ——, “Invariant lattices, the Leech lattice and its even unimodular analogues in Lie algebraA p−1 ,”Mat. Sb.,130(172), No. 4(8), 435–464 (1986); English translation:Math. USSR-Sb.,58, 435–465 (1986). Jointly with A. I. Bondal and Pham Huu Tiep.

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  60. ——,Linear Algebra and Geometry [in Russian], Second revised ed. Nauka, Moscow (1986). English translation:Algebra, Logic and Applications. Vol. 1, Gordon and Breach, New York-London (1986). Bulgarien: Nauka i izkustvo, Sofia (1990). Polish: Wydawnictwo Naukowe PWN, Warszawa (1993).

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  61. ——, “Simple groups,”Kvant, No. 2, 2–7 (1987).

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  62. ——, “Invariant lattices in Lie algebras and their automorphism groups,”Group Theory, Ed. by K. N. Cheng and Y. K. Leong, Walter de Gruyter, Berlin-New York (1989), pp. 171–182.

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  63. ——, “The nilpotency class ofn-Engel Lie algebras,” in:Collection of algebraic papers (on the 80th birthday of A. G. Kurosh) [in Russian], Publ. House Moscow Univ., Moscow (1989) pp. 65–73.

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  64. ——,Around Burnside, Expanded English edition. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. Band 20. A Series of Modern Surveys in Mathematics, Springer, Berlin-New York (1990).

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  65. ——, “A theorem on sandwich algebras,”Trudy Mat. Inst. Steklov. 183, 106–111 (1990). Jointly with E. I. Zelmanov.

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  66. ——, “Irreducible orthogonal decompositions of simple Lie algebras of typeA n ,”Dokl. Akad. Nauk SSSR,314, No. 4, 782–786 (1990); English translation:Sov. Math. Dokl. 42 No. 2, 538–542 (1991). Jointly with Pham Huu Tiep.

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  67. ——, “Classification of the irreducible orthogonal decompositions of simple complex Lie algebras of typeA n ,”Algebra Analiz,3 No. 3, 86–109 (1991); English translation:St. Petersburg Math. J.,3, No. 3, 571–593 (1992). Jointly with Pham Huu Tiep.

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  68. A. I. Kostrikin, “Some new results on orthogonal decompositions of Lie algebras,” in:Hadronic Mechanics and Nonpotential Interactions-5. Part I, Mathematics, H. C. Myung (Ed.) (1991), pp. 1–8.

  69. ——,Algebra in Moscow University [in Russian], Collection. Mathematics in Moscow University, Publ. House Moscow Univ., Moscow (1992), pp. 112–127.

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  70. ——,Orthogonal Decompositions and Integral Lattices, Expositions in Mathematics 15, Walter de Gruyter, Berlin-New York (1994). Jointly with Pham Huu Tiep.

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  71. A. I. Kostrikin,Introduction to Algebra. Foundations of Algebra [in Russian], Revised Part I of the 1977 textbook, Nauka Fizmatlit, Moscow.

  72. A. I. Kostrikin, “On simple Lie Algebras admitting a nonsingular derivation,” Abstracts ofProc. Intern. Conf. on Algebra and Analysis in Memory of N. G. Chebotarev (1894–1947). Kazan, June 6–11 (1994), Part I, 113. Jointly with G. M. Benkart and M. I. Kuznetsov.

  73. A. I. Kostrikin, “Simple graded Lie algebras of characteristic three with nonrestricted action ofL 0 onL −1,” in:Proc. Intern. Conf. on Algebra and Analysis in Memory of N. G. Chebotarev (1894–1947). Kazan, June 6–11 (1994), Part I, 113–114. Jointly with G. M. Benkart and M. I. Kuznetsov.

  74. ——, “What do we know on Lie algebras with nonsingular derivations,” in:Fundamental Problems of Mathematics and Mechanics [in Russian], Publ. House. Moscow Univ., Moscow (1994), 280–281.

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  75. ——, “On the structure of modular Lie algebras, connected with analytic prop-groups,”Dokl. RAS,339, No. 5, 591–593 (1994). Jointly with M. I. Kuznetsov.

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  76. ——,A Collection of Exercises in Algebra [in Russian], Factorial, Moscow (1995). English translation:A Collection of Exercises in Algebra, Linear Algebra and Geometry, Gordon and Breach (1996). Jointly with V. A. Artamonov, Ju. A. Bahturin and others.

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  77. ——, “Three series of 3-manifolds and their fundamental groups,”Dokl. RAS,340, No. 2, 158–160 (1995). Jointly with Ann Chi Kim.

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  78. ——, “Finite-dimensional simple Lie algebras with a nonsingular derivation,”J. Algebra,171, 894–916 (1995). Jointly with G. Benkart and M. I. Kuznetsov.

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  79. ——, “Two remarks on Lie algebras with nonsingular derivation,”Trudy Mat. Inst. Steklov,208 186–192 (1995). Jointly with M. I. Kuznetsov.

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  80. ——, “On deformations of classical Lie algebras of characteristic three,”Dokl. RAS,343, No. 3, 299–301 (1995). Jointly with M. I. Kuznetsov.

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  81. A. I. Kostrikin, “Towards the recognition theorem for Lie algebras of characteristic 3,”Mat. Sb.,186, No. 10, 73–88 (195). Jointly with V. V. Ostrik.

  82. ——, “The simple graded Lie algebras of characteristic three with classical reductive componentL 0,”Commun. Algebra,24, No. 1, 223–234 (1996). Jointly with G. Benkart and M. I. Kuznetsov.

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  83. ——, “Finite-dimensional Lie algebras with a nonsingular derivation,” in:Proc. Intern. Conf. Algebra and Analysis after N. G. Chebotarev, Kazan, June, (1994), Walter de Gruyter, Berlin-New York (1996), pp. 81–90. Jointly with M. I. Kuznetsov.

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  84. ——, “The beginnings of modular Lie algebra theory,” in: Zimmer (ed.),Group Theory, Algebra, and Number Theory, Walter de Gruyter, Berlin (1996), pp. 13–52.

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  85. ——, “Certain balanced groups and 3-manifolds,”Mat. Sb.,188, No. 2, 3–24 (1997) Jointly with Ann Chi Kim.

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  86. ——,Linear Algebra and Geometry, 2nd revised edition, Gordon and Breach, Amsterdam (1997). Jointly with Ju. I. Manin.

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Preface. J Math Sci 93, 801–808 (1999). https://doi.org/10.1007/BF02366340

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