LIST OF PUBLICATIONS
1. Multivariable Difference Dimension Polynomials, 26 pp.
To appear in the Journal of Mathematical Sciences (Kluwer Academic
Publishers). Download ps-version.
2. Difference Algebra (monograph). To be published in
the Kluwer Acdemic Publishers.
3. Difference Algebra. To be published in the Handbook
of Algebra (ELSVIER, Amsterdam, The Netherlands), Vol. 4 (2003- 2004).
4. Graceful Numbers (Jointly with K. Bhutani.).
International Journal of Mathematics and Mathematical Sciences,
Vol. 29 (2002), no. 8, 495 – 499.
5. On the Set of Hilbert Polynomials. Bulletin
of the Australian Mathematical Society, Vol. 64 (2001), 291 –
305.
6. Multivariable Dimension Polynomials and New Invariants
of Differential Field Extensions. International Journal of Mathematics
and Mathematical Sciences, Vol. 27 (2001), no. 4, 201 –
214. (Download PS-Version)
7. Reduced Gröbner Bases, Free Difference-Differential
Modules and Difference-Differential Dimension Polynomials. Journal of
Symbolic Computation, Vol. 30 (2000), 357 - 382.
8. Characteristic Polynomials of Finitely Generated Modules
over Weyl Algebras. Bulletin of the Australian Mathematical
Society, Vol. 61 (2000), no. 3, 387 - 403.
9. Generalized Characteristic Sets and Multivariable Differential
Dimension Polynomials. Collection of Papers of VI International
IMACS Conference on Applications of Computer Algebra, St.Petersburg,
Russia, 2000, 69-72.
10. Characteristic Polynomials of Finitely Generated Modules
over Weyl Algebras. Collection of Papers of VI International IMACS
Conference on Applications of Computer Algebra, St. Petersburg,
Russia, 2000, 23 - 28.
11. Computation of Hilbert Polynomials in Two Variables.
Journal
of Symbolic Computation, Vol. 28 (1999),
681 - 709.
12. The Problem of Sawing a Chain. (Jointly with K. Bhutani.)
Journal
of Recreational Mathematics, Vol. 31, no.1 (2002-2003), 32 –
35.
13. Differential and Difference Dimension Polynomials.
(Jointly with M. Kondrateva, A. Mikhalev, and E. Pankratev.)
436 pp. Kluwer Academic Publishers. Dordrecht/Boston/London,
1999.
14. Type and Dimension of Finitely Generated G-algebras.
(Jointly with A. Mikhalev.) Contemporary Mathematics, Vol.
184 (1995), 275 - 280.
15. Computation of Dimension Polynomials. (Jointly
with M. Kondrateva, A. Mikhalev, and E. Pankratev). International Journal
of Algebra and Computations, Vol.3, no. 2 (1992), 117 - 137.
16. Dimension Polynomials of Filtered Differential G-modules
and Extensions of Differential G-fields. (Jointly with A. Mikhalev.)
Contemporary
Mathematics, Vol.131 (1992), Part 2, 469 - 489.
17. Mathematical Foundations of Automatic Control. Higher
School Press, 104 pp. Moscow, 1992. (In Russian).
18. Dimension Polynomials of Difference-Differential Modules
and of Difference-Differential Field Extensions. (Jointly with A. Mikhalev.)
Abelian
Groups and Modules, no. 10 (1991), 56-82. (In Russsian.)
19. Type and Dimension of Finitely Generated G-algebras.
(Jointly with A. Mikhalev.) Collection of Papers of the International
Conference on Algebra in the Memory of A. Shirshov. Barnaul,
Russia, 1991, p. 70. (In Russian.)
20. Type and Dimension of a Finitely Generated Module
over a Twisted Group Algebra. Collection of Papers of the International
Conference on Algebra in the Memory of A. Shirshov. Barnaul,
Russia, 1991, p. 69. (In Russian.)
21. Type and Dimension of Finitely Generated Vector
G-spaces. (Jointly with A. Mikhalev.) Vestnik of Moscow University,
Ser. I, 1991, no. 4, 72 - 74. (In Russian.) English translation: Moscow
University Mathematics Bulletin, Vol. 46, no. 4,
51 - 52.
22. Differential Calculus. Functions of One Variable.
(Jointly with V. Safray). MMI Press, 32 pp. Moscow, Russia, 1991.
(In Russian.)
23. Net Functions and Difference Equations. (Jointly
with V. Safray). MMI Press, 32 pp. Moscow, Russia, 1990.
(In Russian.)
24. Characteristic Polynomials of Filtered Modules over
Twisted Group Rings. (Jointly with A. Mikhalev). Collection of
Papers of VI National Symposium on the Theory of Rings, Algebras,
and Modules. Lvov, Ukraine, 1990, p. 80.
(In Russian.)
25. Dimension Polynomial of a Finitely Generated Difference
Field Extension. Collection of Papers of VI National Symposium on the
Theory of Rings, Algebras, and Modules. Lvov, Ukraine, 1990,
p. 79. (In Russian.)
26. The Use of Multilevel Problems in Precalculus and
Calculus. Collection of Papers of the International Conference
on Mathematics Education. Tula, Russia, 1989, 11 - 12. (In Russian.)
27. Dimension Polynomials of Differential Modules.
(Jointly with A. Mikhalev.) Abelian Groups and Modules, no.
9 (1989), 51 - 67. (In Russian.)
28. Extremal Problems. (Jointly with A. Zibulnikov and
V. Nikiforovsky.) MMI Press, 32 pp. Moscow, Russia, 1989.
(In Russian.)
29. Fourier Series and Fourier Transform. (Jointly with
V. Safray.) MMI Press, 32 pp. Moscow, Russia, 1989. (In Russian.)
30. Solving of the Fundamental Problem of Linear Programming
with the Computer ISKRA. (Jointly with L. Pokrovsky.) MMI Press,
32 pp. Moscow, Russia, 1988. (In Russian.)
31. Dimension Polynomials of Filtered G-modules. ). Moscow
State University and VINITI (Moscow, Russia),
no. 6849-B88 (1988), 1 - 27. (In Russian.)
32. Difference-Differential Dimension Polynomials.
(Jointly with A. Mikhalev.) Moscow State University and VINITI (Moscow,
Russia), no. 6848-B88 (1988), 1 - 64. (In Russian.)
33. Dimension Polynomials of Filtered G-modules and of
Finitely Generated G-field Extensions.(Jointly with A. Mikhalev.)
Collection
of Papers on Algebra. Moscow State University, 1989, 74 - 94. (In Russian.)
34. Dimension Polynomials of Difference Modules with m-adic
Topology. Collection of Papers "Topological Algebra". Kishinev,
Moldavia, 1988, p. 40. (In Russian.)
35. Theory of Functions of One Complex Variable and Laplace
Transform. (Jointly with V. Nikiforovsky). MMI Press, 32 pp. Moscow,
Russia, 1987. (In Russian.)
36. Difference-Differential Dimension Polynomials and
the Strength of a System of Difference-Differential Equations. Collection
of Papers of XIX National Conference on Algebra. Lvov, Ukraine,
1987. Part I, p. 157. (In Russian.)
37. Differential Dimension Polynomial and the Strength
of a System of Differential Equations. (Jointly with Mikhalev.) Collection
of Papers "Computable Invariants in the Theory of Algebraic Systems".
Novosibirsk, Russia, 1987, 58 - 66.
(In Russian.)
38. Some Methods of Teaching Mathematics in a Freshman
Class. Collection of Papers of The National Russian Conference on Mathematics
Education, Stavropol, Russia, 1985, p. 16. (In Russian.)
39. Characteristic Polynomials of Difference-Differential
Modules. Collection of Papers of XVIII National Conference on
Algebra, Kishinev, Moldavia, 1985. Part I, p. 307. (In Russian.)
40. Inversive Difference Modules and the Problems of Solvability
of Systems of Linear Difference Equations. Moscow State University and
VINITI (Moscow, Russia), no. 335-85 (1985), 1 - 20. (In Russian.)
41. Characteristic Polynomials of D-Modules and of Finitely
Generated D-Field Extensions. Moscow State University and VINITI (Moscow,
Russia), no. 334-85 (1985), 1 - 23. (In Russian.)
42. Elementary Functions and their Graphs. (Jointly
with A. Zulkov.) MMI Press, 32 pp. Moscow, Russia, 1985.
(In Russian.)
43. Simplex Method in Linear Programming.
(Jointly with V. Dudin and L. Pokrovsky.) MMI Press, 32 pp.
Moscow, Russia, 1985. (In Russian.)
44. Mathematical Programming. Geometric Method. (Jointly
with V. Dudin.) MMI Press, 32 pp. Moscow, Russia, 1984.
(In Russian.)
45. Limits of Sequences and Functions. (Jointly with V.
Safray.) MMI Press, 32 pp. Moscow, Russia, 1984. (In Russian.)
46. Characteristic Polynomials of Difference Modules and
Difference Field Extensions. Summary of the Dissertation for
Ph. D. Degree. Kishinev, Moldavia, 1984, 1 - 21. (In Russian.)
47. Type and Dimension of Finitely Generated Difference
Algebras. Collection of Papers of XVII National Conference
on Algebra, Minsk, Byelorussia, 1983. Part II, 126 - 127. (In Russian.)
48. Applications of the Theory of Difference Modules to
the Study of Systems of Difference Equations. Collection of Papers "Some
Problems of Mathematics and Mechanics", Moscow State University, 1983,
15 - 16. (In Russian.)
49. Type and Dimension of Inversive Difference Vector
Spaces and Difference Algebras. Moscow State University and VINITI (Moscow,
Russia), no. 1606-82 (1982), 1 - 36. (In Russian.)
50. Type and Dimension of Inversive Difference Vector
Spaces. Collection of Papers of V National Symposium on
the Theory of Rings, Algebras, and Modules, Novosibirsk, Russia, 1987,
p. 87. (In Russian.)
51. Characteristic Polynomials of Difference Modules and
of Difference Field Extensions. Vestnik of Moscow University, Ser.
1, 1982, no. 4. p. 78. (In Russian.)
52. Difference Local Algebras. Collection of
Papers of XVI National Conference on Algebra, Leningrad, Russia, 1981,
Part 1, 92 - 93. (In Russian.)
53. Method of Automatic Control of Welding with the Heating.
USSR
Patient no.743814 (1980).
54. Functor EXT in the Category of Inversive Difference
Modules. Collection of Papers of IV National Symposium on
the Theory of Rings, Algebras, and Modules, Kishinev, Moldavia, 1980,
p. 67. (In Russian.)
55. Characteristic Polynomials of Difference Modules and
Some Properties of Difference Dimension. Moscow State University and
VINITI (Moscow, Russia), no. 2175-80 (1980), 1 -
42. (In Russian.)
56. Characteristic Polynomials of Inversive Difference
Modules and Some Properties of Inversive Difference Dimension. Uspekhi
Math. Nauk, Vol. 35 (1980), no. 1, 201 - 202. (In Russian.)
English translation: Russian Mathematical Surveys, Vol. 35, no.
1, 217 - 218.
57. Comprehensive Flow Inspection of Solid Phase Joints
and Automatization of Holographic Testing. (Jointly with A. Lipkin and
S. Vigdorchik.) Collection of papers "Scientific Foundations of Automatization
of Industrial Processes", MVTU (Moscow, Russia), 1979, 55 - 57. (In
Russian.)
58. Fourier Series. Moscow Metallurgical Institute
(MMI) Press, 22 pp. Moscow, Russia, 1980. (In Russian.)
59. Some Problems of Holographic Flow Inspection. (Jointly
with A. Lipkin and E. Karakozow.) Aviation Materials, VIAM
(Moscow, Russia), no. 6 (1979), 200 - 204. (In Russian.)
60. Theoretically-experimental Study of Roughness of Surface
by the Holographic Methods. (Jointly with Lipkin.) Collection
of papers "Holographic Methods of Processing of Information", MIREA
(Moscow, Russia), 1978, 137 - 143.
(In Russian.)
61. Characteristic Polynomials of Filtered Difference
Modules and Difference Field Extensions.Uspekhi Math. Nauk, Vol.
33 (1978), no. 3, 177 - 178. (In Russian.) English translation: Russian
Mathematical Surveys, Vol. 33, no. 3, 165 - 166.