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Sixth Annual Conference in Ordered Algebraic Structures
March 5-8, 2003
Department of Mathematics, Vanderbilt University
Nashville, TN, USA

Organizers
Jorge Martinez, University of Florida and Constantine Tsinakis, Vanderbilt University

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Reflections in W_k.
by
Ricardo E Carrera
University of Florida

Let k=kappa denote a regular uncountable cardinal and let Wk denote the category of archimedean lattice-ordered groups with designated weak unit in which the morphisms are the l-homomorphisms which preserve suprema of fewer than k elements. We shall examine the functoriality of ak(A), the maximum k-ideal preserving extension of A, and Qk(A), the ring of k-quotients of A, relative to k-maps. In addition we shall address the issue of epicompleteness and essentiality in Wk. If time permits we shall discuss when G is in Hinfinity - the class of W-objects A for which all homomorphisms A --> B preserve all suprema.

Date received: January 31, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cakg-25.