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On the 85th anniversary of Ashot Enofovich Ustyan

https://doi.org/10.22405/2226-8383-2022-23-4-394-404

Abstract

This work is dedicated to the 85th anniversary of Professor Ashot Enofovich Ustyan.
The paper presents facts from the biography of the hero of the day.
Information about the scientific work of A. E. Ustyan is given.
Sufficient space is given to the organizational and pedagogical activities of Professor A. E. Ustyan.
The information about awards and incentives of A. E. Ustyan for his fruitful scientific and pedagogical activity is given.

About the Authors

Nikolai Mihailovich Dobrovol’skii
Tula State Lev Tolstoy Pedagogical University
Russian Federation

doctor of physical and mathematical sciences, professor



Evgeny Viktorovich Manokhin
Financial University under the Government of the Russian Federation (Tula Branch)
Russian Federation

candidate of physical and mathematical sciences



Irina Vasil’evna Dobrynina
doctor of physical and mathematical sciences, Academy of Civil Protection EMERCOM of Russia
Russian Federation


Vladimir Nikolaevich Chubarikov
Lomonosov Moscow State University
Russian Federation

doctor of physical and mathematical sciences, professor



Nikolai Nikolaevich Dobrovol’skii
Tula State Lev Tolstoy Pedagogical University; Tula State University
Russian Federation

candidate of physical and mathematical sciences



Irina Yuryevna Rebrova
Tula State Lev Tolstoy Pedagogical University
Russian Federation

candidate of physical and mathematical sciences



References

1. Ustyan A. E., 1970, “Examples of semigroups with an unresolved word identity problem” //

2. Scientific notes of mathematical departments, Tula.

3. Ustyan A. E., 1970, “On the problem of isomorphism for finitely defined semigroups” // Scientific

4. notes of mathematical departments, Tula.

5. Ustyan A. E., 1972, “On the connection between the problem of occurrence and the problem of

6. identity in semigroups” // Questions of the theory of groups and semigroups, Tula.

7. Ustyan A. E., 1972, “On the problem of word identity for a certain class of finitely defined

8. semigroups” // Siberian Mathematical Journal., pp. 141–150.

9. Ustyan A. E., 1974, “On relations of the form 𝑋 = 𝑋𝑍” // Modern algebra, Vol 2.

10. Ustyan A. E., 1977, “On relations of the form 𝑋 = 𝐴𝑋𝐵 in semigroups of the 𝐾 class ” //

11. Modern algebra, Vol. 6.

12. Ustyan A. E., 1981, “On the problem of entering into a monogenic sub-semigroup” // Modern

13. Algebra.

14. Ustyan A. E., 1990, “The problem of word identity for quotient semigroups of free products” //

15. Interuniversity collection “Algorithmic problems of the theory of groups and semigroups”, Tula.

16. Ustyan A. E., 1986, “On the problem of left divisibility for finitely defined semigroups of 𝐾

17. class” // Algorithmic problems of the theory of groups and semigroups, Tula.

18. Ustyan A. E., 1994, Algebra and number theory. – Tula, Part 1,2.

19. Dobrovolsky N. M., Yesayan A. R., Pikhtilkov S. A., Rodionova O. V., Ustyan A. E., 1999, “On

20. an algorithm for finding optimal coefficients” // Izvestiya TulSU. Ser. Mathematics. Mechanics.

21. Informatics. Vol. 5, iss. 1. Tula, pp. 51–71.

22. Ustyan A. E., 2002, “Algebra and Number theory” // Tula, Part 1, 2 (second edition).

23. Bezverkhny V. N., Ustyan A. E., 2009, Linear Algebra. – Tula.

24. Ustyan A. E., Bezverkhny V. N., Dobrynina I. V., Bezverkhnyaya N. B., 2016, Algebra. – Tula.

25. Ustyan A. E., Bezverkhny V. N., Dobrynina I. V., Bezverkhnyaya N. B., 2020, Algebra (second

26. edition). – Tula.

27. Bezverkhny V. N., Ustyan A.E., 2010, “Generalization of one Magnus theorem” // Chebyshevskii

28. sbornik, Vol. 11, № 3, pp. 57–62.

29. Bezverkhny V. N., Ustyan A. E., 2012, “Grindlinger Martin Davidovich” // Chebyshevskii

30. sbornik, Vol. 13. № 1-1. pp. 5–8.

31. Bezverkhny V. N., Ustyan A. E., 2013, “Generalizations of the theorems of V. Magnus and M.

32. D. Grindlinger” // Chebyshevsky Collection, Vol. 14, № 3. pp. 20–33.

33. Bezverkhny V. N., Ustyan A. E., 2014, “On generalized conjugacy of words in large-type Artin

34. semigroups” // Algebra and number theory: modern problems and applications. Materials of

35. the XII International Conference dedicated to the eightieth anniversary of Professor Viktor

36. Nikolaevich Latyshev, Tula State Lev Tolstoy Pedagogical University, pp. 54–55.

37. Balaba I. N., Vankov B. P., Vankova V. S., Denisov I. V., Denisova T. Yu., Dobrynina I. V.,

38. Ignatov Yu. A., Martynyuk Yu. M., Rebrova I. Yu., Roschenya A. L., Ustyan A. E., Shulyupov

39. V. A., 2015, “Specialized educational and Scientific Center - Youth Regional Mathematical

40. School”, Educational and methodical manual. –Vol. 1, Iss. 1, Tula.

41. Dobrovolsky N. M., Rebrova I. Yu., Ustyan A. E., Podsypanin F. V., Podsypanin E. V., 2015,

42. “Tula School of Number Theory (To the 105th anniversary of Vladimir Dmitrievich Podsypanin

43. (16.01.1910 - 11.10.1968) and the 65th anniversary of the Tula School of Number Theory)” //

44. Algebra, Number theory and Discrete Geometry: modern problems and applications. Materials

45. of the XIII International Conference. Tula State Lev Tolstoy Pedagogical University, pp. 20–85.

46. Ustyan A. E., 2015, “About the algebraic school of M. D. Grindlinger” // Algebra, number

47. theory and discrete geometry: modern problems and applications. Materials of the XIII

48. International Conference. Tula State Lev Tolstoy Pedagogical University, pp. 7–13.

49. Dobrynina I. V., Ustyan A. E., Trubitsyn Yu. E., 2015, “To the 75th anniversary of the

50. Doctor of Physical and mathematical sciences, Professor Bezverhniy Vladimir Nikolaevich”

51. // Chebyshevskii Sbornik, Vol. 16. № 1. pp. 291–300.

52. Dobrovolsky N. M., Rebrova I. Yu., Ustyan A. E., Podsypanin F. V., Podsypanin E. V., 2015,

53. “To the 105th anniversary of Vladimir Dmitrievich Podsypanin (16.01.1910 - 11.10.1968)” //

54. Chebyshevskii Sbornik, Vol. 16, № 1, pp. 301–316.

55. Bezverkhny V. N., Bezverkhnyaya N. B., Dobrynina I. V., Zinchenko O. V., Ustyan A. E.,

56. , “On algorithmic problems in Coxeter groups” // Chebyshevskii Sbornik, Vol. 17, № 4, pp.

57. –50.

58. Alekseev A. Yu., Artamonova Yu. N., Bogatyreva Yu. I., Vankov B. P., Vankova V. S., Gubareva

59. T. V., Danilenko S. V., Dobrovolsky N. M., Dobrynina I. V., Zabelina A.V., Ignatov Yu.

60. A., Isaeva N. M., Martynyuk Yu. M., Nekritsukhin A. I., Rarova E. M., Rodionova O. V.,

61. Sitnikova L. D., Titov A.V., Ustyan A. E., Khabarov N. N., etc., 2017, Curricula of disciplines

62. for the choice of direction 02.03.03 Mathematical support and administration of information

63. systems.(profile “Information systems and databases”). Educational and methodical manual –

64. Tula.

65. Bezverkhny V. N., Ustyan A. E., 2017, “On embedding Artin semigroups into Artin groups”

66. // University of the XXI century: scientific dimension. materials of the scientific conference of

67. scientific and pedagogical workers, postgraduates and undergraduates of TSPU named after L.

68. N. Tolstoy, pp. 243–245.

69. Bezverkhny V. N., Dobrynina I. V., Trubitsyn Yu. E., Ustyan A. E., 2017, “M. D. Grindlinger

70. – founder of the Tula Algebraic School (to the 85th anniversary of the professor)” //

71. Chebyshevskii Sbornik, Vol. 18. № 1. pp. 160–166.

72. Bezverkhny V. N., Ustyan A. E., Dobrynina I. V., 2017, “70-th anniversary of Professor Valery

73. Georgievich Durnev” // Chebyshevskii Sbornik, Vol. 18. № 2 (62). pp. 279–297.

74. Ustyan A. E., Ivanova N. S., 2018, “Pedagogical conditions of activation of educational

75. and cognitive activity of students in modern conditions of informatization of education” //

76. Development of educational and methodological support for the introduction of innovative

77. teaching methods in the implementation of the Federal State Educational Standard. Materials

78. of the XLV scientific and methodological conference of the teaching staff, graduate students,

79. undergraduates, applicants of TSPU named after L. N. Tolstoy, pp. 380–383.

80. Bezverkhny V. N., Ustyan A. E., 2019, “On the history of the Faculty of Mathematics (Physics

81. and Mathematics) TSPU named after L. N. Tolstoy” // Algebra, number theory and discrete

82. geometry: modern problems, applications and problems of history. Materials of the XVII

83. International Conference dedicated to the 100th anniversary of the birth of Professor N. I.

84. Feldman and the 90-th anniversary of the birth of Professors A. I. Vinogradov, A.V. Malyshev

85. and B. F. Skubenko, pp. 223–227.

86. Ustyan A. E., 2019, “On the History of the Faculty of Mathematics (Methodologists) TSPU

87. named after L. N. Tolstoy” // Algebra, number theory and discrete geometry: modern problems,

88. applications and problems of history. Materials of the XVII International Conference dedicated

89. to the 100th anniversary of the birth of Professor N. I. Feldman and the 90th anniversary of

90. the birth of Professors A. I. Vinogradov, A. V. Malyshev and B. F. Skubenko, pp. 272–276.

91. Bezverkhny V. N., Ustyan A. E., 2019, “On conjugacy of words in Artin semigroups” // Algebra,

92. number theory and discrete geometry: modern problems, applications and problems of history.

93. Materials of the XVII International Conference dedicated to the 100th anniversary of the birth

94. of Professor N. I. Feldman and the 90-th anniversary of the birth of Professors A. I. Vinogradov,

95. A.V. Malyshev and B. F. Skubenko, pp. 32–33.

96. Manokhin E. V., Ustyan A. E., Kuznetsov G. V., 2019, “Scientist and teacher. To the 80-

97. th anniversary of Vladislav Ivanovich Rybakov (13.12.1939-27.09.2016)” // Algebra, number

98. theory and discrete geometry: modern problems, applications and problems of history.

99. Proceedings of the XVI International Conference dedicated to the 80th anniversary of the

100. birth of Professor Michel Dez, pp. 355–359.

101. Ustyan A. E., 2019, “To the history of L. N. Tolstoy TSPU and the Faculty of Mathematics” //

102. Algebra, number theory and discrete Geometry: modern problems, applications and problems

103. of history. Proceedings of the XVI International Conference dedicated to the 80-th anniversary

104. of the birth of Professor Michel Dez, pp. 390–393.

105. Bezverkhny V. N., Ustyan A. E., 2019, “On semigroups of a Picture” // Fundamental and

106. applied Mathematics, Vol. 22., № 4., pp. 39–49.

107. Manokhin E. V., Ustyan A. E., Kuznetsov G. V., 2019, “Scientist and teacher. To the 80th

108. anniversary of Vladislav Ivanovich Rybakov (13.12.1939-27.09.2016)” // Chebyshevskii Sbornik,

109. Vol. 20., № 4., pp. 414–421.

110. Bezverkhny V. N., Ustyan A. E., 2020, “On equality and conjugacy of words in Artin

111. semigroups” // Algebra, number theory and discrete geometry: modern problems, applications

112. and problems of history. Materials of the XVIII International Conference dedicated to the 100-

113. th anniversary of the birth of Professors B. M. Bredikhin, V. I. Nechaev and S. B. Stechkin.

114. Tula, pp. 16–19.

115. Ustyan A. E., 2020, “To the history of L. N. Tolstoy TSPU and the Faculty of Mathematics” //

116. Algebra, number theory and discrete geometry: modern problems, applications and problems

117. of history. Materials of the XVIII International Conference dedicated to the 100th anniversary

118. of the birth of Professors B. M. Bredikhin, V. I. Nechaev and S. B. Stechkin. Tula, pp. 396–401.

119. Ustyan A. E., Ugarov A. S., Dobrynina I. V., 2020, “Vladimir Nikolaevich Bezverkhny – head

120. of the scientific school “Algorithmic problems of the theory of groups and semigroups” ” //

121. Algebra, number theory and discrete geometry: modern problems, applications and problems

122. of history. Materials of the XVIII International Conference dedicated to the 100-th anniversary

123. of the birth of Professors B. M. Bredikhin, V. I. Nechaev and S. B. Stechkin, Tula, pp. 401–405.

124. Ustyan A. E., Dobrynina I. V., Trubitsyn Yu. E., Ugarov A. S., Dobrovolsky N. M., Rebrova

125. I. Y., 2020, “80-th anniversary of Professor Bezverhniy Vladimir Nikolaevich” //Chebyshevskii

126. Sbornik, Vol. 21, № 3, pp. 317–335.

127. Bezverkhny V. N., Dobrynina I. V., Dobrovolsky N. M., Rebrova I. Yu., Chubarikov V. N.,

128. , “Ashot Enofovich Ustyan” // Chebyshevskii Sbornik, Vol. 13, № 3, pp. 116–120.

129. Ustyan A.E., 2018, “History of the Tula algebraic school” // Algebra, number theory and discrete

130. geometry: modern problems and applications. Materials of the XV International Conference

131. dedicated to the centenary of the birth of Professor Nikolai Mikhailovich Korobov, pp. 380–

132.


Review

For citations:


Dobrovol’skii N.M., Manokhin E.V., Dobrynina I.V., Chubarikov V.N., Dobrovol’skii N.N., Rebrova I.Yu. On the 85th anniversary of Ashot Enofovich Ustyan. Chebyshevskii Sbornik. 2022;23(4):394-404. (In Russ.) https://doi.org/10.22405/2226-8383-2022-23-4-394-404

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