| Publications in Math-Net.Ru |
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1995 |
| 1. |
M. S. Burgin, “Algorithmic approach to dynamic information theory”, Dokl. Akad. Nauk, 342:1 (1995), 7–10    |
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1994 |
| 2. |
M. S. Burgin, Yu. M. Borodyanskii, “Operations and compositions in transrecursive operators”, Dokl. Akad. Nauk, 336:6 (1994), 727–729 ; Dokl. Math., 49:3 (1994), 572–576 |
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1992 |
| 3. |
M. S. Burgin, “Universal limit Turing machines”, Dokl. Akad. Nauk, 325:4 (1992), 654–658 ; Dokl. Math., 46:1 (1993), 79–83 |
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1991 |
| 4. |
M. S. Burgin, Yu. M. Borodyanskii, “Infinite processes and superrecursive algorithms”, Dokl. Akad. Nauk SSSR, 321:5 (1991), 876–879 ; Dokl. Math., 44:3 (1992), 800–803 |
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1988 |
| 5. |
M. S. Burgin, “The arithmetical hierarchy and inductive Turing machines”, Dokl. Akad. Nauk SSSR, 299:3 (1988), 530–533 ; Dokl. Math., 37:2 (1988), 390–393 |
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1984 |
| 6. |
M. S. Burgin, “Inductive Turing machines with multihead, and Kolmogorov's algorithm”, Dokl. Akad. Nauk SSSR, 275:2 (1984), 280–284 |
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1983 |
| 7. |
M. S. Burgin, “Inductive Turing machines”, Dokl. Akad. Nauk SSSR, 270:6 (1983), 1289–1293 |
| 8. |
M. S. Burgin, “Multiple computations and Kolmogorov complexity for such processes”, Dokl. Akad. Nauk SSSR, 269:4 (1983), 793–797 |
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1982 |
| 9. |
M. S. Burgin, “Complexity of parallel algorithms and computations”, Dokl. Akad. Nauk SSSR, 265:2 (1982), 268–274 |
| 10. |
M. S. Burgin, “Generalized Kolmogorov complexity and duality in computational theory”, Dokl. Akad. Nauk SSSR, 264:1 (1982), 19–23 |
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1980 |
| 11. |
M. S. Burgin, “Representations of linear $\Omega$-algebras in the form of products”, Izv. Vyssh. Uchebn. Zaved. Mat., 1980, 10, 6–14 |
| 12. |
M. S. Burgin, “Free algebras with continuous systems of operations”, Uspekhi Mat. Nauk, 35:3(213) (1980), 147–151 ; Russian Math. Surveys, 35:3 (1980), 179–184  |
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1977 |
| 13. |
M. S. Burgin, “Nonclassical models of the natural numbers”, Uspekhi Mat. Nauk, 32:6(198) (1977), 209–210 |
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1976 |
| 14. |
M. S. Burgin, A. Yu. Karasik, “Operators of a multidimensional structure-oriented model of parallel computations”, Avtomat. i Telemekh., 1976, 8, 179–185 ; Autom. Remote Control, 37:8 (1976), 1295–1300 |
| 15. |
M. S. Burgin, “Free subalgebras of topological algebras”, Dokl. Akad. Nauk SSSR, 229:3 (1976), 534–537 |
| 16. |
M. S. Burgin, “Varieties of linear $\Omega$-algebras”, Uspekhi Mat. Nauk, 31:4(190) (1976), 255–256 |
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1975 |
| 17. |
T. M. Baranovich, M. S. Burgin, “Linear $\Omega$-algebras”, Uspekhi Mat. Nauk, 30:4(184) (1975), 61–106 ; Russian Math. Surveys, 30:4 (1975), 65–113 |
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1974 |
| 18. |
M. S. Burgin, “Cancellation law and attainable classes of linear $\Omega$-algebras”, Mat. Zametki, 16:3 (1974), 467–478 ; Math. Notes, 16:3 (1974), 867–872 |
| 19. |
M. S. Burgin, “Free products in varieties of groups”, Uspekhi Mat. Nauk, 29:6(180) (1974), 159–160 |
| 20. |
M. S. Burgin, “Schreier varieties of linear $\Omega$-algebras”, Mat. Sb. (N.S.), 93(135):4 (1974), 554–572 ; Math. USSR-Sb., 22:4 (1974), 561–579 |
|
1973 |
| 21. |
M. S. Burgin, “Topological algebras with continuous systems of operations”, Dokl. Akad. Nauk SSSR, 213:3 (1973), 505–508 |
| 22. |
M. S. Burgin, “Subalgebras of free products of linear $\Omega$-algebras”, Tr. Mosk. Mat. Obs., 29 (1973), 101–117 |
| 23. |
M. S. Burgin, “Free products of linear $\Omega$-algebras”, Uspekhi Mat. Nauk, 28:6(174) (1973), 195 |
|
1972 |
| 24. |
M. S. Burgin, “Central extensions in $\gamma$-categories”, Dokl. Akad. Nauk SSSR, 205:5 (1972), 1019–1021 |
| 25. |
M. S. Burgin, “Free topological groups and universal algebras”, Dokl. Akad. Nauk SSSR, 204:1 (1972), 9–11 |
| 26. |
M. S. Burgin, “Free factor algebras of free linear $\Omega$-algebras”, Mat. Zametki, 11:5 (1972), 537–544 ; Math. Notes, 11:5 (1972), 328–331 |
| 27. |
M. S. Burgin, “Schreier varieties of linear $\Omega$-algebras”, Uspekhi Mat. Nauk, 27:5(167) (1972), 227–228 |
| 28. |
M. S. Burgin, V. A. Artamonov, “Some properties of subalgebras in varieties of linear $\Omega$-albebras”, Mat. Sb. (N.S.), 87(129):1 (1972), 67–82 ; Math. USSR-Sb., 16:1 (1972), 69–85 |
|
1971 |
| 29. |
M. S. Burgin, “Wreath products of linear $\Omega$-algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 1971, 9, 9–17 |
|
1970 |
| 30. |
M. S. Burgin, “Commutative products of linear $\Omega$-algebras”, Izv. Akad. Nauk SSSR Ser. Mat., 34:5 (1970), 977–999 ; Math. USSR-Izv., 4:5 (1970), 979–999 |
| 31. |
M. S. Burgin, “Categories with involution, and correspondences in $\gamma$-categories”, Tr. Mosk. Mat. Obs., 22 (1970), 161–228 |
| 32. |
M. S. Burgin, “The groupoid of varieties of linear $\Omega$-algebras”, Uspekhi Mat. Nauk, 25:3(153) (1970), 263–264 |
|
1969 |
| 33. |
M. S. Burgin, “Categories of correspondence over semiabelian categories”, Dokl. Akad. Nauk SSSR, 189:6 (1969), 1174–1176 |
| 34. |
M. S. Burgin, “$\gamma$-categories and categories with involution”, Uspekhi Mat. Nauk, 24:2(146) (1969), 221–222 |
| 35. |
M. S. Burgin, “The freeness theorem in some varieties of linear algebras and rings”, Uspekhi Mat. Nauk, 24:1(145) (1969), 27–38 ; Russian Math. Surveys, 24:1 (1969), 25–35 |
| 36. |
M. S. Burgin, “Some properties of generalized free products and the imbedding of amalgams of groups”, Mat. Sb. (N.S.), 80(122):2(10) (1969), 163–180 ; Math. USSR-Sb., 9:2 (1969), 155–170 |
|
1967 |
| 37. |
M. S. Burgin, “Imbedding of an amalgam of groups with a certain property into a group with the same property”, Mat. Sb. (N.S.), 74(116):1 (1967), 147–160 ; Math. USSR-Sb., 3:1 (1967), 139–151 |
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|
1970 |
| 38. |
M. S. Burgin, “Correction to the paper: "The ‘Freiheitssatz’ in certain varieties of linear $\Omega$-algebras and $\Omega$-rings"”, Uspekhi Mat. Nauk, 25:1(151) (1970), 248 |
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