Mathematics and Its Applications

Proceedings of the Caribbean Mathematics Foundation Conference on Ordered Algebraic Structures, Cura§ao, August 1988

By: Jorge MartÃnez (Editor)

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Hardcover | 30 November 1989

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'Et moi, .... si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point alit.' human race. It has put common sense back Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bcll o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nOD linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

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Non-Fiction Mathematics Mathematical Foundation Mathematical Logic Groups & Group Theory Algebra Geometry Topology Calculus & Mathematical Analysis Functional Analysis & Transforms

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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
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Mathematics and Its Applications

Proceedings of the Caribbean Mathematics Foundation Conference on Ordered Algebraic Structures, Cura§ao, August 1988

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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