Ordered Algebraic Structures: Proceedings of the Curaçao Conference, sponsored by the Caribbean Mathematics Foundation, June 26-30, 1995 / Edition 1

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This book provides a sampling of recent advances in ordered algebraic structures, with emphasis on developments in areas where general topology, category theory and model theory play a prominent role. The discourse in ordered algebra has been significantly affected by other disciplines, and this volume is representative of that trend.
Audience: This volume will appeal to mathematicians with a wide range of interests, particularly in topology, and the topology of rings of functions.

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Editorial Reviews

The June 1995 proceedings contain a mixture of research and expository papers sampling advances in ordered algebraic structures with an emphasis on general topology, category theory, and model theory. The 13 contributions survey the state-of-art in f-rings and the homological dimension of rings of continuous functions, provide a primer to topology and Stone duality, (The editor says students following these directions can't get lost.) survey archimedean lattice-ordered groups with actions, and present research results in topology, category theory, and group theory which share new perspectives such as proving significant results on SV-spaces using conventional resources. Lacks an index. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9780792343776
  • Publisher: Springer Netherlands
  • Publication date: 9/5/2007
  • Edition description: 1997
  • Edition number: 1
  • Pages: 332
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.81 (d)

Table of Contents

Preface. A Survey of f-Rings and Some of Their Generalizations; M. Henriksen. Reflections on the Global Dimensions of Rings of Continuous Functions; R.T. Finn. Continuous Ultraproducts; N.L. Alling. Actions on Archimedean Lattice-Ordered Groups with Strong Unit; R.N. Ball, J.N. Hagler. Pointfree Topology and the Spectra of f-Rings; B. Banaschewski. Commutative Singular f-Rings; R.T. Finn, et al. Torsion Classes of Lattice-Ordered Groups with Invariant Radicals; P.F. Conrad, M.R. Darnel. The Automorphism Groups of Hahn Groups; M. Droste, R. Göbel. The Laterally sigma-Complete Reflection of an Archimedean Lattice-Ordered Group; A.W. Hager, J. Martinez. Ax-Kochen-Ershov Principles for Valued and Ordered Vector Spaces; F. Viktor, S. Kuhlmann. Quasi-Normal f-Rings; S. Larson. Rings of Continuous Functions as Real Closed Rings; N. Schwartz. On Universal Words for Automorphism Groups of Linear Orders; L.V. Welch, S.A. Adeleke.

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