Ordered Algebraic Structures: Proceedings of the Caribbean Mathematics Foundation Conference on Ordered Algebraic Structures, Curaçao, August 1988 / Edition 1

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Overview

This publication surveys some of the disciplines within ordered algebraic structures and also contains chapters highlighting a broad spectrum of research interests. In all, this book represents a reasonably accurate cross-section of the state of the art in ordered algebraic structures.

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Product Details

  • ISBN-13: 9780792304890
  • Publisher: Springer Netherlands
  • Publication date: 11/30/1989
  • Series: Mathematics and Its Applications (closed) Series , #55
  • Edition description: 1989
  • Edition number: 1
  • Pages: 302
  • Product dimensions: 0.81 (w) x 9.21 (h) x 6.14 (d)

Table of Contents

Preface
The Bornological Tensor Product of two Riesz Spaces 3
Old and New Unsolved Problems in Lattice-Ordered Rings 11
A Survey of Residuated Lattices 19
MV-Algebras and Abelian l-Groups: a Fruitful Interaction 57
Hull Classes of Archimedean Lattice-Ordered Groups 89
Surveying Lattice-Ordered Fields 123
Stone's Real Gelfand Duality in Pointfree Topology 157
The Range of Lattice Homomorphisms on f-Algebras 179
The Bornological Tensor Product of two Riesz Spaces: Proof and Background Material 189
Non-distributive Cancellative Residuated Lattices 205
Reconstructing C(G) from a Plenary Subset 213
The Undecidability of the Word Problem for Distributive Residuated Lattices 231
Least Integer Closed Groups 245
Structure Spaces of Maximal l-Ideals of Lattice-Ordered Rings 261
Polar Functions, I: The Summand-Inducing Hull of an Archimedean l-Group with Unit 275
A Priestley-type Method for Generating Free l-Groups 301
On the Epimorphic Hull of a Ring of Continuous Functions 313
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