Ordered Algebraic Structures

Proceedings of the Gainesville Conference Sponsored by the University of Florida 28th February - 3rd March, 2001

By: Jorge MartÃnez (Editor)

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Hardcover | 31 August 2002

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From the 28th of February through the 3rd of March, 2001, the Department of Math ematics of the University of Florida hosted a conference on the many aspects of the field of Ordered Algebraic Structures. Officially, the title was "Conference on Lattice Ordered Groups and I-Rings", but its subject matter evolved beyond the limitations one might associate with such a label. This volume is officially the proceedings of that conference, although, likewise, it is more accurate to view it as a complement to that event. The conference was the fourth in wh at has turned into aseries of similar conferences, on Ordered Algebraic Structures, held in consecutive years. The first, held at the University of Florida in Spring, 1998, was a modest and informal affair. The fifth is in the final planning stages at this writing, for March 7-9, 2002, at Vanderbilt University. And although these events remain modest and reasonably informal, their scope has broadened, as they have succeeded in attracting mathematicians from other, related fields, as weIl as from more distant lands.

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

Ordered Algebraic Structures

Proceedings of the Gainesville Conference Sponsored by the University of Florida 28th February - 3rd March, 2001

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