Selected papers of S. A. Amitsur with commentary Book

Part 1
	Preface	xiii
	Publications of S. A. Amitsur	xv
	Shimshon Avraham Amitsur (1921-1994)	xix
I.	General Ring Theory
	Commentary: Amitsur and Ring Theory	3
	4. A generalization of a theorem on linear differential equations, Bull. Amer. Math. Soc. 54 (1948), 937-941	11
	15. A general theory of radicals. I: Radicals in complete lattices, Amer. J. Math. 74 (1952), 774-786	17
	20. A general theory of radicals: II. Radicals in rings and bicategories, Amer. J. Math. 75 (1954), 100-125	31
	21. A general theory of radicals: III. Applications, Amer. J. Math. 75 (1954), 126-136	57
	30. Algebras over infinite fields, Proc. Amer. Math. Soc. 7 (1956), 35-48	69
	32. Radicals of polynomial rings, Canad. J. Math. 8 (1956), 355-361	83
	33. Invariant submodules of simple rings, Proc. Amer. Math. Soc. 7 (1956), 987-989	91
	35. Derivations in simple rings, Proc. London Math. Soc. 7 (1957), 87-112	95
	37. The radical of field extensions, Bull. Research Council of Israel 7F (1957), 1-10	121
	38. Countably generated division algebras over nondenumerable fields, Bull. Research Council of Israel 7F (1957), 39	131
	40. Commutative linear differential operators, Pacific J. Math. 8 (1958), 1-10	133
	41. Rings with a pivotal monomial, Proc. Amer. Math. Soc. 9 (1958), 635-642	143
	43. On the semi-simplicity of group algebras, Michigan J. Math. 6 (1959), 251-253	151
	49. Derived functors in abelian categories, Indiana J. Math. 10 (1961), 971-994	155
	52. Remarks on principal ideal rings, Osaka Math. J. 15 (1963), 59-69	179
	54. Generalized polynomial identities and pivotal monomials, Trans. Amer. Math. Soc. 114 (1965), 210-226	191
	60. Rings with involutions, Israel J. Math. 6 (1968), 99-106	209
	64. Rings of quotients and Morita contexts, J. Algebra 17 (1971), 273-298	217
	68. Nil radicals. Historical notes and some new results, Coll. Math. Soc. Janos Bolyai 6. Rings, modules and radicals, Keszthely (Hungary) (1971), 47-65	243
	69. On rings of quotients, Instituto Nazionale di Alta Mathematica, Symposia Mathematica VIII (1972), 149-164	263
	102. Recognition of matrix rings II, (co-authors G. Agnarsson and J. C. Robson), Israel J. Math. 96 (1996), 1-13; part A	279
II.	Rings Satisfying a Polynomial Identity
	Commentary: Amitsur and PI-Rings	295
	12. Nil PI-rings, Proc. Amer. Math. Soc. 3 (1951), 538-540	297
	14. An embedding of PI-rings, Proc. Amer. Math. Soc. 3 (1952), 3-9	301
	26. On rings with identities, J. London Math. Soc. 30 (1955), 464-470	309
	27. The T-ideals of the free ring, J. London Math. Soc. 30 (1955), 470-475	317
	36. A generalization of Hilbert's Nullstellensatz, Proc. Amer. Math. Soc. 8 (1957), 649-656	323
	48. Groups with representations of bounded degree II, Illinois J. Math. 5 (1961), 198-205	331
	56. Jacobson-rings and Hilbert algebras with polynomial identities, (coauthor C. Procesi), Annali di Mathematica Pura et Applicata 71 (1966), 61-72	339
	57. Nil semi-groups of rings with a polynomial identity, Nagoya Math. J. 27 (1966), 103-111	351
	58. Rational identities and applications to algebra and geometry, J. Algebra 3 (1966), 304-359	361
	59. Prime rings having polynomial identities with arbitrary coefficients, Proc. London Math. Soc. 17 (1967), 470-486	417
	62. Identities in rings with involutions, Israel J. Math. 7 (1969), 63-68	435
	63. A noncommutative Hilbert basis theorem and subrings of matrices, Trans. Amer. Math. Soc. 149 (1970), 133-142	441
	65. Embeddings in matrix rings, Pacific J. Math. 36 (1971), 21-29	451
	66. Some results on rings with polynomial identities, Proc. International Congress of Math. I (1970), 269-272	461
	67. A note on PI-rings, Israel J. Math. 10 (1971), 210-211	465
	71. On universal embeddings in matrix rings, J. Math. Soc. of Japan 25 (1973), 322-328	467
	72. Polynomial identities and Azumaya algebras, J. Algebra 27 (1973), 117-125	475
	75. Polynomial identities, Israel J. Math. 19 (1974), 183-199	485
	76. Central embeddings in semi-simple rings, Pacific J. Math. 56 (1975), 1-6	503
	81. Polynomials over division rings, (co-author L. W. Small), Israel J. Math. 31 (1978), 353-358	509
	85. Prime ideals in PI-rings, (co-author L. W. Small), J. Algebra 62 (1980), 358-383	515
	95. Finite-dimensional representations of PI-algebras, (co-author L. W. Small), J. Algebra 133 (1990), 244-248	541
	96. GK-dimensions of corners and ideals, (co-author L. W. Small), Israel J. Math. 69 (1990), 152-160	547
	99. Contributions of PI theory to Azumaya algebras, (1994), 9-17; Rings extensions and cohomology (Evanston, IL 1993), Lecture Notes in Pure and Applied Math., vol. 159, Dekker	557
	101. Finite dimensional representation of PI algebras II, (co-author L. W. Small), J. Algebra 174 (1995), 848-855	567
	104. Algebras over infinite fields, revisited, (co-author L. W. Small), Israel J. Math. 96 (1996), 23-25; part A	575
Part 2
	Preface	xiii
	Publications of S. A. Amitsur	xv
	Shimshon Avraham Amitsur (1921-1994)	xix
III.	Combinatorial Polynomial Identity Theory
	Commentary: Amitsur and Combinatorial P.I. Theory	3
	9. Minimal identities for algebras, (co-author J. Levitzki), Proc. Amer. Math. Soc. 2 (1950), 449-463	7
	11. Remarks on minimal identities for algebras, (co-author J. Levitzki), Proc. Amer. Math. Soc. 2 (1951), 320-327	23
	17. The identities of PI-rings, Proc. Amer. Math. Soc. 3 (1952), 27-34	31
	25. Identities and generators of matrix rings, Bull. Research Council of Israel 5A (1955), 1-10	39
	77. Identities and linear dependence, Israel J. Math. 22 (1975), 127-137	45
	78. On a central identity for matrix rings, J. London Math. Soc. 14 (1976), 1-6	57
	79. Alternating identities, Proc. Ohio Univ. Conference on Ring Theory. Dekker (1978), 1-14	63
	89. PI-algebras and their cocharacters, (co-author A. Regev), J. Algebra 78 (1982), 248-254	77
	90. The sequence of co-dimensions of PI-algebras, Israel J. Math. 47 (1984), 1-22	85
IV.	Division Algebras
	Commentary: Amitsur and Division Algebras	109
	5. Contributions to the theory of central simple algebras, Summary of thesis submitted to the Hebrew University, 1949, pp. 1-28	117
	7. La representation d'algebres centrales simples, Comp. rendus des seance de l'Acad. des Science t.230 (1950), 902-904	137
	8. Construction d'algebres centrales simples sur des corps de characteristique zero, Comp. rendus des seance de l'Acad. des Science t.230 (1950), 1026-1028	141
	22. Non-commutative cyclic fields, Duke Math. J. 21 (1954), 87-105	145
	23. Differential polynomials and division algebras, Ann. of Math. 59 (1954), 245-278	165
	24. Generic splitting fields of central simple algebras, Ann. of Math. 62 (1955), 8-43	199
	29. Finite subgroups of division rings, Trans. Amer. Math. Soc. 80 (1955), 361-386	235
	31. Some results on central simple algebras, Ann. of Math. 63 (1956), 285-293	261
	39. On arithmetic functions, J. Analyse de Math. 5 (1958), 273-314	271
	42. Simple algebras and cohomology groups of arbitrary fields, Trans. Amer. Math. Soc. 10 (1959), 73-112	313
	44. Some results on arithmetic functions, J. Math. Soc. of Japan 11 (1959), 275-290	353
	46. Finite dimensional central division algebras, Proc. Amer. Math. Soc. 11 (1960), 28-31	369
	50. Homology groups and double complexes for arbitrary fields, J. Math. Soc. of Japan 14 (1962), 1-25	373
	51. On a lemma in elementary proofs of the prime number theorem, Bull. Research Council of Israel 10F (1962), 101-108	399
	53. Complexes of rings, Israel J. Math. 2 (1964), 143-154	407
	70. On central division algebras, Israel J. Math. 12 (1972), 408-420	419
	74. The generic division rings, Israel J. Math. 17 (1974), 241-247	433
	80. Generic abelian crossed products and p-algebras, (co-author D. Saltman), J. Algebra 51 (1978), 76-87	441
	83. Division algebras of degree 4 and 8 with involution, (co-authors L. H. Rowen, J. P. Tignol), Bull. Amer. Math. Soc. 1 (1979), 691-693; Israel J. Math. 33 (1979), 133-148	453
	84. On the characteristic polynomial of a sum of matrices, Linear and Multilinear Algebra 8 (1980), 177-182	469
	86. Generic splitting fields. Brauer groups in ring theory and algebraic geometry, Proc. Antwerp (1981), 1-23; Lecture Notes in Math. 917, Springer-Verlag	475
	87. Extension of derivations to central simple algebras, Comm. Algebra 10 (1982), 797-803	499
	91. Kummer subfields of Malcev-Neumann division algebra, (co-author J. P. nignol), Israel J. Math. 50 (1985), 114-144	507
	92. Symplectic modules, (co-author J. P. Tignol), Israel J. Math. 54 (1986), 266-290	539
	93. Totally ramified splitting fields of central simple algebras over Henselian fields, (co-author J. P. Tignol), J. Algebra 98 (1986), 95-101	565
	97. Galois splitting fields of a universal division algebra, J. Algebra 143 (1991), 236-245	573
	100. Elements of reduced trace 0, (co-author L. H. Rowen), Israel J. Math. 87 (1994), 161-179	583
	103. Finite-dimensional subalgebras of division rings, (co-author D. Baum), Israel J. Math. 96 (1996), 15-22; part A	603