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

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

by Jorge Martinez, Jorge Martnez
 

ISBN-10: 0792304896

ISBN-13: 9780792304890

Pub. Date: 11/30/1989

Publisher: Springer Netherlands

This proceedings volume from the March 2001 conference consists of six surveys and 11 research articles on ordered algebraic structures, with an emphasis on lattice-ordered groups (l-groups) and f-rings. Of particular interest are the surveys of lattice-ordered fields, residuated lattices, the interaction between MV-algebras and abelian l-groups, and hull classes of

Overview

This proceedings volume from the March 2001 conference consists of six surveys and 11 research articles on ordered algebraic structures, with an emphasis on lattice-ordered groups (l-groups) and f-rings. Of particular interest are the surveys of lattice-ordered fields, residuated lattices, the interaction between MV-algebras and abelian l-groups, and hull classes of archimedian l-groups with a designated unit. Other topics include Stone's real Gelfand duality in pointfree topology, the bornological tensor product of two Riesz spaces, the range of lattice homomorphisms on f-algebras, and least integer closed groups. The collection lacks an index. Annotation (c)2003 Book News, Inc., Portland, OR

Product Details

ISBN-13:
9780792304890
Publisher:
Springer Netherlands
Publication date:
11/30/1989
Series:
Mathematics and Its Applications (closed) Series , #55
Edition description:
1989
Pages:
282
Product dimensions:
6.10(w) x 9.25(h) x 0.24(d)

Related Subjects

Table of Contents

Prefaceix
Surveys & Expositions
The Bornological Tensor Product of two Riesz Spaces3
Old and New Unsolved Problems in Lattice-Ordered Rings11
A Survey of Residuated Lattices19
MV-Algebras and Abelian l-Groups: a Fruitful Interaction57
Hull Classes of Archimedean Lattice-Ordered Groups89
Surveying Lattice-Ordered Fields123
Research Articles
Stone's Real Gelfand Duality in Pointfree Topology157
The Range of Lattice Homomorphisms on f-Algebras179
The Bornological Tensor Product of two Riesz Spaces: Proof and Background Material189
Non-distributive Cancellative Residuated Lattices205
Reconstructing C(G) from a Plenary Subset213
The Undecidability of the Word Problem for Distributive Residuated Lattices231
Least Integer Closed Groups245
Structure Spaces of Maximal l-Ideals of Lattice-Ordered Rings261
Polar Functions, I: The Summand-Inducing Hull of an Archimedean l-Group with Unit275
A Priestley-type Method for Generating Free l-Groups301
On the Epimorphic Hull of a Ring of Continuous Functions313

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