Collected Mathematical Papers: Vol. 1: 1934-1946

Paperback (Softcover reprint of the original 1st ed. 1989)
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Product Details

  • ISBN-13: 9781461282143
  • Publisher: Birkh?user Boston
  • Publication date: 3/19/2012
  • Series: Contemporary Mathematicians Series
  • Edition description: Softcover reprint of the original 1st ed. 1989
  • Pages: 454
  • Product dimensions: 7.00 (w) x 10.00 (h) x 0.96 (d)

Table of Contents

Personal History and Commentary (1910–1943).- Research Papers, 1934–1943.- [1] Non-commutative polynomials and cyclic algebras.- [2] A note on non-commutative polynomials.- [3] Locally compact rings (with O. Taussky).- [4] Rational methods in the theory of Lie algebras.- [5] On pseudo-linear transformations.- [6] Totally disconnected locally compact rings.- [7] Simple Lie algebras of type A.- [8] Pseudo-linear transformations.- [9] A class of normal simple Lie algebras of characteristic zero.- [10] A note on non-associative algebras.- [11] Abstract derivation and Lie algebras.- [12] p-Algebras of exponent p.- [13] A note on topological fields.- [14] Simple Lie algebras of type A.- [15] Simple Lie algebras over a field of characteristic zero.- [16] Normal semi-linear transformations.- [17] An application of E. H. Moore’s determinant of a Hermitian matrix.- [18] Structure and automorphisms of semi-simple Lie groups in the large.- [19] Cayley numbers and normal simple Lie algebras of type G.- [20] The fundamental theorem of the Galois theory for quasi-fields.- [21] A note on hermitian forms.- [22] Restricted Lie algebras of characteristic p.- [23] Classes of restricted Lie algebras of characteristic p I.- [24] Classes of restricted Lie algebras of characteristic p II.- Personal History and Commentary (1943–1946).- Research Papers, 1943–1946.- [25] An extension of Galois theory to non-normal and non-separable fields.- [26] Schur’s theorems on commutative matrices.- [27] Relations between the composites of a field and those of a subfield.- [28] Galois theory of purely inseparable fields of exponent one.- [29] Construction of central simple associative algebras.- [30] The equation x ’— xd-dx = b.- [31] Structure theory of simple rings without finiteness assumptions.- [32] The radical and semi-simplicity for arbitrary rings.- [33] Structure theory for algebraic algebras of bounded degree.- [34] A topology for the set of primitive ideals in an arbitrary ring.- [35] On the theory of primitive rings.- [36] A note on division rings.- [37] Isomorphisms of Jordan rings.- [38] The center of a Jordan ring.- Permissions.

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