Publications of S.A. Amitsur
Applications of the theory of linear differential equations I, Riveon lematematica1 (1946/7), 47–48 (in Hebrew; English summary).
Applications of the theory of linear differential equations II, Riveon lematematica1 (1946/7), 79–82 (in Hebrew; English summary).
On unique factorization in rings, Riveon lematematica2 (1948), 28–29 (in Hebrew; English summary).
A generalization of a theorem on linear differential equations, Bulletin of the American Mathematical Society54 (1948), 937–941
Contributions to the theory of central simple algebras, Summary of thesis submitted to the Hebrew University of Jerusalem, 1949, pp. 1–28.
On a lemma of Kaplansky, Riveon lematematica3 (1949), 47–48, 52 (in Hebrew; English summary).
La representation d’algebres centrales simples, Compte rendus de l’Academie des Science, Paris230 (1950), 902–904.
Construction d’algebres centrales simples sur des corps de caracteristique zero, Compte rendus de l’Academie des Science, Paris230 (1950), 1026–1028.
Minimal identities for algebras (co-author J. Levitzki), Proceedings of the American Mathematical Society1 (1950), 449–463.
Finite differential polynomials, Riveon lematematica4 (1950), 1–8 (in Hebrew; English summary).
Remarks on minimal identities for algebras (co-author J. Levitzki), Proceedings of the American Mathematical Society2 (1951), 320–327.
Nil PI-rings, Proceedings of the American Mathematical Society2 (1951), 538–540.
Semi-group rings, Riveon lematematica5 (1951), 5–9 (in Hebrew: English summary).
An embedding of PI-rings, Proceedings of the American Mathematical Society3 (1952), 3–9.
A general theory of radicals. I. Radicals in complete lattices, American Journal of Mathematics74 (1952), 774–786.
The problem of Kurosh-Levitzki-Jacobson, Riveon lematematica5 (1952), 41–48 (in Hebrew; English summary).
The identities of PI-rings, Proceedings of the American Mathematical Society4 (1953), 27–34.
An electrical computer for the solution of linear simultaneous equations (co-authors A. Many, U. Oppenheim), Review of Scientific Instruments24 (1953), 112–116.
Applications to a polynomial identity, Riveon lematematica7 (1954), 30–32 (in Hebrew; English summary).
A general theory of radicals. II. Radicals in rings and bicategories, American Journal of Mathematics76 (1954), 100–125.
A general theory of radicals. III. Applications, American Journal of Mathematics76 (1954), 126–136.
Non-commutative cyclic fields, Duke Mathematical Journal21 (1954), 87–105.
Differential polynomials and division algebras, Annals of Mathematics59 (1954), 245–278.
Generic splitting fields of central simple algebras, Annals of Mathematics62 (1955), 8–43.
Identities and generators of matrix rings, Bulletin of the Research Council of Israel5A (1955), 5–10.
On rings with identities, Journal of the London Mathematical Society30 (1955), 464–470.
The T-ideals of the free rings, Journal of the London Mathematical Society30 (1955), 470–475.
The radical ring generated by a single element, Riveon lematematica9 (1955), 41–44 (in Hebrew; English summary).
Finite subgroups of division rings, Transaction of the American Mathematical Society80 (1955), 361–386.
Algebras over infinite fields, Proceedings of the American Mathematical Society7 (1956), 35–48.
Some results on central simple algebras, Annals of Mathematics63 (1956), 285–293.
Radicals of polynomial rings, Canadian Journal of Mathematics8 (1956), 355–361.
Invariant submodules of simple rings, Proceedings of the American Mathematical Society7 (1956), 987–989.
Hermite rings and the equivalence of matrices, Riveon lematematica10 (1956), 41–45 (in Hebrew; English summary).
The scientific work of Prof. Jakob Levitzki, Riveon lematematica11 (1957), 1–6 (in Hebrew; English summary).
Derivations in simple rings, Proceedings of the London Mathematical Society7 (1957), 87–112.
A generalization of Hilbert’s Nullstellensatz, Proceedings of the American Mathematical Society8 (1957), 649–656.
The radical of field extensions, Bulletin of the Research Council of Israel7F (1957/1958), 1–10.
Countably generated division algebras over non-denumerable fields, Bulletin of the Research Council of Israel7F (1957/1958), 39.
On arithmetic functions, Journal d’Analyse Mathematique5 (1956/1957), 273–314.
Commutative linear differential operators, Pacific Journal of Mathematics8 (1958), 1–10.
Rings with a pivotal monomial, Proceedings of the American Mathematical Society9 (1958), 635–642.
Simple algebras and cohomology groups of arbitrary fields, Transactions of the American Mathematical Society90 (1959), 73–112.
On the semi-simplicity of group algebras, Michigan Journal of Mathematics6 (1959), 251–253.
Some results on arithmetic functions, Journal of the Mathematical Society of Japan11 (1959), 275–290.
On the convolution of arithmetic functions, Riveon lematematica13 (1959), 1–12 (in Hebrew; English summary).
Finite dimensional central division algebras, Proceedings of the American Mathematical Society11 (1960), 28–31.
Arithmetic linear transformations and abstract prime number theorems, Canadian Journal of Mathematics13 (1961), 83–109.
Groups with representations of bounded degree. II, Illinois Journal of Mathematics5 (1961), 198–205.
Derived functors in abelian categories, Journal of Mathematical Mechanics10 (1961), 971–994.
Homology groups and double complexes for arbitrary fields, Journal of the Mathematical Society of Japan14 (1962), 1–25.
On a lemma in elementary proofs of the prime number theorem, Bulletin of the Research Council of Israel10F (1962), 101–108.
Remarks on principal ideal rings, Osaka Mathematical Journal15 (1963), 59–69.
Complexes of rings, Israel Journal of Mathematics2 (1964), 143–154.
Generalized polynomial identities and pivotal monomials, Transactions of the American Mathematical Society114 (1965), 210–226.
Identical relations in associative rings. Some Aspects of Ring Theory C.I.M.E. Conference II. Circolo (1965), pp. 1–48.
Jacobson-rings and Hilbert algebras with polynomial identities (co-author C. Procesi), Annali di Mathematica Pura et Applicata71 (1966), 61–72.
Nil semi-groups of rings with a polynomial identity, Nagoya Mathematical Journal27 (1966), 103–111.
Rational identities and applications to algebra and geometry, Journal of Algebra3 (1966), 304–359.
Prime rings having polynomial identities with arbitrary coefficients, Proceedings of the London Mathematical Society17 (1967), 470–486.
Rings with involution, Israel Journal of Mathematics6 (1968), 99–106.
Correction to “Arithmetic linear transformations”, Canadian Journal of Mathematics21 (1969), 1–5.
Identities in rings with involutions, Israel Journal of Mathematics7 (1969), 63–68.
A noncommutative Hilbert basis theorem and subrings of matrices, Transactions of the American Mathematical Society149 (1970), 133–142.
Rings of quotients and Morita contexts, Journal of Algebra17 (1971), 273–298.
Embeddings in matrix rings, Pacific Journal of Mathematics36 (1971), 21–29.
Some results on rings with polynomial identities, Actes du Congres International des Mathematiciens, Vol. 1 (Nice, 1970), Gauthier-Villars, Paris, 1970, pp. 269–272.
A note on PI-rings, Israel Journal of Mathematics10 (1971), 210–211.
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.
On rings of quotients, Symposia Mathematica8 (1972), 149–164.
On central division algebras, Israel Journal of Mathematics12 (1972), 408–420.
On univeral embeddings in matrix rings, Journal of the Mathematical Society of Japan25 (1973), 322–328.
Polynomial identities and Azumaya algebras, Journal of Algebra27 (1973), 117–125.
On supernilpotent radicals, inEstudos de Matematica, Instituto de Alto Cultura, Lisbon, 1974, pp. 51–56.
Jacob Levitzki, 1904–1956, Israel Journal of Mathematics19 (1974), 1–2.
The generic division rings, Israel Journal of Mathematics17 (1974), 241–247.
Polynomial identities, Israel Journal of Mathematics19 (1974), 183–199.
Central embeddings in semi-simple rings, Pacific Journal of Mathematics56 (1975), 1–6.
Identities and linear dependence, Israel Journal of Mathematics22 (1975), 127–137.
On a central identity for matrix rings, Journal of the London Mathematical Society14 (1976), 1–16.
Prime PI-rings (co-author L.W. Small), Bulletin of the American Mathematical Society83 (1977), 249–251.
Alternating identities, inRing Theory (Proceedings of the Ohio University Conference on Ring Theory), Dekker, New York, 1978, pp. 1–14.
Generic abelian crossed products and p-algebras (co-author D. Saltman), Journal of Algebra51 (1978), 76–87.
Polynomials over division rings (co-author L.W. Small), Israel Journal of Mathematics31 (1978), 353–358.
The polynomial identities of associative rings. Noetherian rings and rings with polynomials identities. Proceedings of a conference, Durham, July (1978), pp. 1–38.
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.
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.
On the characteristic polynomial of a sum of matrices, Linear and Multilinear Algebra8 (1979/80), 177–182.
Prime ideals in PI-rings (co-author L. W. Small), Journal of Algebra62 (1980), 358–383.
Generic splitting fields, inBrauer Groups in Ring Theory and Algebraic Geometry (Wilrijk, 1981), Lecture Notes in Mathematics917, Springer-Verlag, Berlin, 1982, pp. 1–24.
Extension of derivations to central simple algebras, Communications in Algebra10 (1982), 797–803.
Division algebras. A survey, Contemporary Mathematics13 (1982), 3–26.
PI-algebras and their cocharacters (co-author A. Regev), Journal of Algebra78 (1982), 248–254.
The sequence of codimensions of PI-algebras, Israel Journal of Mathematics47 (1984), 1–22.
Kummer subfields of Malcev-Neumann division algebras (co-author J.-P. Tignol), Israel Journal of Mathematics50 (1985), 114–144.
Symplectic modules (co-author J.-P. Tignol), Israel Journal of Mathematics54 (1986), 266–290.
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.
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.
Finite-dimensional representations of PI algebras (co-author L.W. Small), Journal of Algebra133 (1990), 244–248.
GK-dimensions of corners and ideals (co-author L.W. Small), Israel Journal of Mathematics69 (1990), 152–160.
Generic structures and division algebras, Seminaire Mathématique Rapport 171, Univ. Catholique de Louvain, 1990, pp. 1–12.
Galois splitting fields of a universal division algebra, Journal of Algebra143 (1991), 236–245.
Highlights in the history of finite-dimensional central division algebras, inRing Theory 1989, Israel Mathematics Conference Proceedings, Vol. 1, The Weizmann Science Press of Israel, Jerusalem, 1989, pp. 404–430.
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.
Elements of reduced trace 0 (co-author L.H. Rowen), Israel Journal of Mathematics87 (1994), 161–179.
Affine algebras with polynomial identities (co-author L.W. Small), Rendiconti del Circolo Matematico di Palermo (2) Supplement31 (1993), 9–43.
Finite-dimensional representation of PI algebras. II (co-author L.W. Small), Journal of Algebra174 (1995), 848–855.
Recognition of matrix rings II (co-authors G. Agnarsson and J.C. Robson), Israel Journal of Mathematics96 (1996), 1–13 (this volume).
Finite-dimensional subalgebras of division rings (co-author D. Baum), Israel Journal of Mathematics96 (1996), 15–22 (this volume).
Algebras over infinite fields, revisited (co-author L.W. Small), Israel Journal of Mathematics96 (1996), 23–25 (this volume).
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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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DOI: https://doi.org/10.1007/BF02785528