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Ordered Algebraic Structures: Proceedings of the Gainesville Conference Sponsored by the University of Florida 28th February - 3rd March, 2001 / Edition 1

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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: 9781441952257
  • Publisher: Springer US
  • Publication date: 12/3/2010
  • Series: Developments in Mathematics Series , #7
  • Edition description: Softcover reprint of hardcover 1st ed. 2002
  • Edition number: 1
  • Pages: 322
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.70 (d)

Table of Contents

Preface. Surveys & Expositions. The Bornological Tensor Product of two Riesz Spaces; G. Buskes, A. van Rooij. Old and New Unsolved Problems in Lattice-Ordered Rings; M. Henriksen. A Survey of Residuated Lattices; P. Jipsen, C. Tsinakis. MV-Algebras and Abelian l-Groups: a Fruitful Interaction; V. Marra, D. Mundici. Hull Classes of Archimedean Lattice-Ordered Groups; J. Martínez. Surveying Lattice-Ordered Fields; R.H. Redfield. Research Articles. Stone's Real Gelfand Duality in Pointfree Topology; B. Banaschewski. The Range of Lattice Homomorphisms on f-Algebras; K. Boulabiar. The Bornological Tensor Product of two Riesz Spaces: Proof and Background Material; G. Buskes, A. van Rooij. Non-distributive Cancellative Residuated Lattices; J.A. Cole. Reconstructing C(G) from a Plenary Subset; M.R. Darnel. The Undecidability of the Word Problem for Distributive Residuated Lattices; N. Galatos. Least Integer Closed Groups; A.W. Hager, et al. Polar Functions, I: The Summand-Inducing Hull of an Archimedian l-Group with Unit; J. Martínez. A Priestley-type Method for Generating Free l-Groups; N.G. Martínez, A. Petrovich. On the Epimorphic Hull of a Ring of Continuous Functions; R. Raphael, R.G. Woods.

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