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Shimshon Avraham Amitsur (1921 — 1994)

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Publications of S.A. Amitsur

  1. Applications of the theory of linear differential equations I, Riveon lematematica1 (1946/7), 47–48 (in Hebrew; English summary).

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  2. Applications of the theory of linear differential equations II, Riveon lematematica1 (1946/7), 79–82 (in Hebrew; English summary).

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  3. On unique factorization in rings, Riveon lematematica2 (1948), 28–29 (in Hebrew; English summary).

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  4. A generalization of a theorem on linear differential equations, Bulletin of the American Mathematical Society54 (1948), 937–941

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  5. Contributions to the theory of central simple algebras, Summary of thesis submitted to the Hebrew University of Jerusalem, 1949, pp. 1–28.

  6. On a lemma of Kaplansky, Riveon lematematica3 (1949), 47–48, 52 (in Hebrew; English summary).

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  7. La representation d’algebres centrales simples, Compte rendus de l’Academie des Science, Paris230 (1950), 902–904.

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  8. Construction d’algebres centrales simples sur des corps de caracteristique zero, Compte rendus de l’Academie des Science, Paris230 (1950), 1026–1028.

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  9. Minimal identities for algebras (co-author J. Levitzki), Proceedings of the American Mathematical Society1 (1950), 449–463.

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  10. Finite differential polynomials, Riveon lematematica4 (1950), 1–8 (in Hebrew; English summary).

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  11. Remarks on minimal identities for algebras (co-author J. Levitzki), Proceedings of the American Mathematical Society2 (1951), 320–327.

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  12. Nil PI-rings, Proceedings of the American Mathematical Society2 (1951), 538–540.

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  13. Semi-group rings, Riveon lematematica5 (1951), 5–9 (in Hebrew: English summary).

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  14. An embedding of PI-rings, Proceedings of the American Mathematical Society3 (1952), 3–9.

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  15. A general theory of radicals. I. Radicals in complete lattices, American Journal of Mathematics74 (1952), 774–786.

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  16. The problem of Kurosh-Levitzki-Jacobson, Riveon lematematica5 (1952), 41–48 (in Hebrew; English summary).

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  17. The identities of PI-rings, Proceedings of the American Mathematical Society4 (1953), 27–34.

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  18. An electrical computer for the solution of linear simultaneous equations (co-authors A. Many, U. Oppenheim), Review of Scientific Instruments24 (1953), 112–116.

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  19. Applications to a polynomial identity, Riveon lematematica7 (1954), 30–32 (in Hebrew; English summary).

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  20. A general theory of radicals. II. Radicals in rings and bicategories, American Journal of Mathematics76 (1954), 100–125.

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  21. A general theory of radicals. III. Applications, American Journal of Mathematics76 (1954), 126–136.

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  22. Non-commutative cyclic fields, Duke Mathematical Journal21 (1954), 87–105.

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  23. Differential polynomials and division algebras, Annals of Mathematics59 (1954), 245–278.

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  24. Generic splitting fields of central simple algebras, Annals of Mathematics62 (1955), 8–43.

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  25. Identities and generators of matrix rings, Bulletin of the Research Council of Israel5A (1955), 5–10.

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  26. On rings with identities, Journal of the London Mathematical Society30 (1955), 464–470.

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  27. The T-ideals of the free rings, Journal of the London Mathematical Society30 (1955), 470–475.

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  28. The radical ring generated by a single element, Riveon lematematica9 (1955), 41–44 (in Hebrew; English summary).

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  29. Finite subgroups of division rings, Transaction of the American Mathematical Society80 (1955), 361–386.

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  30. Algebras over infinite fields, Proceedings of the American Mathematical Society7 (1956), 35–48.

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  31. Some results on central simple algebras, Annals of Mathematics63 (1956), 285–293.

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  32. Radicals of polynomial rings, Canadian Journal of Mathematics8 (1956), 355–361.

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  33. Invariant submodules of simple rings, Proceedings of the American Mathematical Society7 (1956), 987–989.

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  34. Hermite rings and the equivalence of matrices, Riveon lematematica10 (1956), 41–45 (in Hebrew; English summary).

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  35. The scientific work of Prof. Jakob Levitzki, Riveon lematematica11 (1957), 1–6 (in Hebrew; English summary).

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  36. Derivations in simple rings, Proceedings of the London Mathematical Society7 (1957), 87–112.

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  37. A generalization of Hilbert’s Nullstellensatz, Proceedings of the American Mathematical Society8 (1957), 649–656.

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  38. The radical of field extensions, Bulletin of the Research Council of Israel7F (1957/1958), 1–10.

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  39. Countably generated division algebras over non-denumerable fields, Bulletin of the Research Council of Israel7F (1957/1958), 39.

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  40. On arithmetic functions, Journal d’Analyse Mathematique5 (1956/1957), 273–314.

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  41. Commutative linear differential operators, Pacific Journal of Mathematics8 (1958), 1–10.

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  42. Rings with a pivotal monomial, Proceedings of the American Mathematical Society9 (1958), 635–642.

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  43. Simple algebras and cohomology groups of arbitrary fields, Transactions of the American Mathematical Society90 (1959), 73–112.

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  44. On the semi-simplicity of group algebras, Michigan Journal of Mathematics6 (1959), 251–253.

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  45. Some results on arithmetic functions, Journal of the Mathematical Society of Japan11 (1959), 275–290.

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  46. On the convolution of arithmetic functions, Riveon lematematica13 (1959), 1–12 (in Hebrew; English summary).

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  47. Finite dimensional central division algebras, Proceedings of the American Mathematical Society11 (1960), 28–31.

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  48. Arithmetic linear transformations and abstract prime number theorems, Canadian Journal of Mathematics13 (1961), 83–109.

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  49. Groups with representations of bounded degree. II, Illinois Journal of Mathematics5 (1961), 198–205.

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  50. Derived functors in abelian categories, Journal of Mathematical Mechanics10 (1961), 971–994.

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  51. Homology groups and double complexes for arbitrary fields, Journal of the Mathematical Society of Japan14 (1962), 1–25.

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  52. On a lemma in elementary proofs of the prime number theorem, Bulletin of the Research Council of Israel10F (1962), 101–108.

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  53. Remarks on principal ideal rings, Osaka Mathematical Journal15 (1963), 59–69.

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  54. Complexes of rings, Israel Journal of Mathematics2 (1964), 143–154.

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  55. Generalized polynomial identities and pivotal monomials, Transactions of the American Mathematical Society114 (1965), 210–226.

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  56. Identical relations in associative rings. Some Aspects of Ring Theory C.I.M.E. Conference II. Circolo (1965), pp. 1–48.

  57. Jacobson-rings and Hilbert algebras with polynomial identities (co-author C. Procesi), Annali di Mathematica Pura et Applicata71 (1966), 61–72.

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  58. Nil semi-groups of rings with a polynomial identity, Nagoya Mathematical Journal27 (1966), 103–111.

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  59. Rational identities and applications to algebra and geometry, Journal of Algebra3 (1966), 304–359.

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  60. Prime rings having polynomial identities with arbitrary coefficients, Proceedings of the London Mathematical Society17 (1967), 470–486.

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  61. Rings with involution, Israel Journal of Mathematics6 (1968), 99–106.

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  62. Correction to “Arithmetic linear transformations”, Canadian Journal of Mathematics21 (1969), 1–5.

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  63. Identities in rings with involutions, Israel Journal of Mathematics7 (1969), 63–68.

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  64. A noncommutative Hilbert basis theorem and subrings of matrices, Transactions of the American Mathematical Society149 (1970), 133–142.

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  65. Rings of quotients and Morita contexts, Journal of Algebra17 (1971), 273–298.

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  66. Embeddings in matrix rings, Pacific Journal of Mathematics36 (1971), 21–29.

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  67. Some results on rings with polynomial identities, Actes du Congres International des Mathematiciens, Vol. 1 (Nice, 1970), Gauthier-Villars, Paris, 1970, pp. 269–272.

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  68. A note on PI-rings, Israel Journal of Mathematics10 (1971), 210–211.

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  69. Nil radicals. Historical notes and some new results, Colloq. Mathematical Society Janos Bolyai, Vol. 6:Rings, Modules and Radicals (Proc. Int. Colloq., Keszthely, Hungary), North-Holland, Amsterdam, 1971, pp. 47–65.

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  70. On rings of quotients, Symposia Mathematica8 (1972), 149–164.

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  71. On central division algebras, Israel Journal of Mathematics12 (1972), 408–420.

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  72. On univeral embeddings in matrix rings, Journal of the Mathematical Society of Japan25 (1973), 322–328.

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  73. Polynomial identities and Azumaya algebras, Journal of Algebra27 (1973), 117–125.

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  74. On supernilpotent radicals, inEstudos de Matematica, Instituto de Alto Cultura, Lisbon, 1974, pp. 51–56.

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  75. Jacob Levitzki, 1904–1956, Israel Journal of Mathematics19 (1974), 1–2.

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  76. The generic division rings, Israel Journal of Mathematics17 (1974), 241–247.

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  77. Polynomial identities, Israel Journal of Mathematics19 (1974), 183–199.

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  78. Central embeddings in semi-simple rings, Pacific Journal of Mathematics56 (1975), 1–6.

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  79. Identities and linear dependence, Israel Journal of Mathematics22 (1975), 127–137.

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  80. On a central identity for matrix rings, Journal of the London Mathematical Society14 (1976), 1–16.

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  81. Prime PI-rings (co-author L.W. Small), Bulletin of the American Mathematical Society83 (1977), 249–251.

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  82. Alternating identities, inRing Theory (Proceedings of the Ohio University Conference on Ring Theory), Dekker, New York, 1978, pp. 1–14.

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  83. Generic abelian crossed products and p-algebras (co-author D. Saltman), Journal of Algebra51 (1978), 76–87.

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  84. Polynomials over division rings (co-author L.W. Small), Israel Journal of Mathematics31 (1978), 353–358.

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  85. The polynomial identities of associative rings. Noetherian rings and rings with polynomials identities. Proceedings of a conference, Durham, July (1978), pp. 1–38.

  86. Division algebras of degree 4 and 8 with involution (co-authors L.H. Rowen and J.-P. Tignol), Bulletin of the American Mathematical Society1 (1979), 691–693.

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  87. Division algebras of degree 4 and 8 with involution (co-authors L.H. Rowen and J.-P. Tignol), Israel Journal of Mathematics33 (1979), 133–148.

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  88. On the characteristic polynomial of a sum of matrices, Linear and Multilinear Algebra8 (1979/80), 177–182.

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  89. Prime ideals in PI-rings (co-author L. W. Small), Journal of Algebra62 (1980), 358–383.

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  90. Generic splitting fields, inBrauer Groups in Ring Theory and Algebraic Geometry (Wilrijk, 1981), Lecture Notes in Mathematics917, Springer-Verlag, Berlin, 1982, pp. 1–24.

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  91. Extension of derivations to central simple algebras, Communications in Algebra10 (1982), 797–803.

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  92. Division algebras. A survey, Contemporary Mathematics13 (1982), 3–26.

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  93. PI-algebras and their cocharacters (co-author A. Regev), Journal of Algebra78 (1982), 248–254.

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  94. The sequence of codimensions of PI-algebras, Israel Journal of Mathematics47 (1984), 1–22.

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  95. Kummer subfields of Malcev-Neumann division algebras (co-author J.-P. Tignol), Israel Journal of Mathematics50 (1985), 114–144.

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  96. Symplectic modules (co-author J.-P. Tignol), Israel Journal of Mathematics54 (1986), 266–290.

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  97. Totally ramified splitting fields of central simple algebras over Henselian fields (co-author J.-P. Tignol), Institut Mathematique de l’Université Catholique de Louvain-La Neuve Vol.36 (1983), iv1-iv9; Journal of Algebra98 (1986), 95–101.

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  98. An example in central division rings, inPerspectives in Ring Theory (Antwerp, 1987), NATO Adv. Sci. Inst. Ser. C, Vol. 233, Kluwer, Dordrecht, 1988, pp. 85–92.

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  99. Finite-dimensional representations of PI algebras (co-author L.W. Small), Journal of Algebra133 (1990), 244–248.

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  100. GK-dimensions of corners and ideals (co-author L.W. Small), Israel Journal of Mathematics69 (1990), 152–160.

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  101. Generic structures and division algebras, Seminaire Mathématique Rapport 171, Univ. Catholique de Louvain, 1990, pp. 1–12.

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  104. Contributions of PI theory to Azumaya algebras, inRings, Extensions, and Cohomology, Lecture Notes in Pure and Applied Mathematics159, Dekker, New York, 1994, pp. 9–17.

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  105. Elements of reduced trace 0 (co-author L.H. Rowen), Israel Journal of Mathematics87 (1994), 161–179.

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  109. Finite-dimensional subalgebras of division rings (co-author D. Baum), Israel Journal of Mathematics96 (1996), 15–22 (this volume).

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  110. Algebras over infinite fields, revisited (co-author L.W. Small), Israel Journal of Mathematics96 (1996), 23–25 (this volume).

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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University of Jerusalem, 91904, Jerusalem, Israel

    Avinoam Mann

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  1. Avinoam Mann
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Mann, A. Shimshon Avraham Amitsur (1921 — 1994). Israel J. Math. 96, ix–xxvii (1996). https://doi.org/10.1007/BF02785528

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