Selected Papers on Algebra and Topology by Garrett Birkhoff / Edition 1

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Product Details

  • ISBN-13: 9780817631147
  • Publisher: Birkhauser Verlag
  • Publication date: 1/1/1987
  • Series: Contemporary Mathematicians Series
  • Edition description: 1987
  • Edition number: 1
  • Pages: 610
  • Product dimensions: 10.00 (w) x 7.00 (h) x 1.38 (d)

Table of Contents

I. Lattices.- [3] On the Combination of Subalgebras.- [3a] Note on the Paper “On the Combination of Subalgebras”.- [4] Applications of Lattice Algebra.- [6] On the Lattice Theory of Ideals.- [7] Ideals in Algebraic Rings.- [12] Combinatorial Relations in Projective Geometries.- [16] Abstract Linear Dependence and Lattices.- [21] The Logic of Quantum Mechanics (with J. von Neumann).- [36] A Characterization of Boolean Algebras (with M. Ward).- [40] Neutral Elements in General Lattices.- [51] Distributive Postulates for Systems Like Boolean Algebras (with G. D. Birkhoff).- [54] A Ternary Operation in Distributive Lattices (with S. A. Kiss).- II. Universal Algebra.- [15] On the Structure of Abstract Algebras.- [47] Subdirect Unions in Universal Algebra.- [49] Universal Algebra.- [154] Heterogeneous Algebras (with J. D. Lipson).- [174] Universal Algebra and Automata (with J. D. Lipson).- [179] Note on Universal Topological Algebra.- III. Topology.- [8] The Topology of Transformation-Sets.- [24] Moore-Smith Convergence in General Topology.- [25] The Meaning of Completeness.- [28] An Extended Arithmetic.- [29] Rings of Sets.- [43] Generalized Arithmetic.- [58] Representations of Lattices by Sets (with O. Frink, Jr.).- [118] A New Interval Topology for Dually Directed Sets.- IV. Lie Groups and Lie Algebras.- [19] On the Order of Groups of Automorphisms (with P. Hall).- [20] A Note on Topological Groups.- [22] Lie Groups Simply Isomorphic with No Linear Group.- [26] Continuous Groups and Linear Spaces.- [27] Representability of Lie Algebras and Lie Groups by Matrices.- [32] Analytical Groups.- [60] Representation of Jordan and Lie Algebras (with P. M. Whitman).- V. Lattice-Ordered Algebraic Structures.- [33] Dependent Probabilities and Spaces (L).- [42] Lattice-Ordered Groups.- [48] Lattice-Ordered Lie Groups.- [91] Lattice-Ordered Rings (with R. S. Pierce).- VI. History of Algebra.- [160] Current Trends in Algebra.- [169] The Role of Modern Algebra in Computing.- [182a] The Rise of Modern Algebra to 1936.- [182b] The Rise of Modern Algebra, 1936 to 1950.- Permissions.

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