Ordered Algebraic Structures -

Ordered Algebraic Structures

Proceedings of the Curaçao Conference, sponsored by the Caribbean Mathematics Foundation, June 26–30, 1995

W.C. Holland, Jorge Martínez (Herausgeber)

Buch | Hardcover
332 Seiten
1997
Springer (Verlag)
978-0-7923-4377-6 (ISBN)
160,49 inkl. MwSt
The conference on Ordered Algebraic Structures held in Curat;ao, from the 26th of June through the 30th of June, 1995, at the Avila Beach Hotel, marked the eighth year of ac­ tivities by the Caribbean Mathematics Foundation (abbr. CMF), which was the principal sponsor of this conference. CMF was inaugurated in 1988 with a conference on Ordered Algebraic Structures. During the years between these two conferences the field has changed sufficiently, both from my point of view and, I believe, that of my co-organizer, W. Charles Holland, to make one wonder about the label "Ordered Algebraic Structures" itself. We recognized this from the start, and right away this conference carried a subtitle, or, if one prefers, an agenda: we concentrated on the one hand, on traditional themes in the theory of ordered groups, including model-theoretic aspects, and, on the other hand, on matters in which topology (more precisely C(X)-style topology) and category theory would play a prominent role. Plainly, ordered algebra has many faces, and it is becoming increas­ ingly difficult to organize an intimate conference, such as the ones encouraged in the series sponsored by CMF, in this area on a broad set of themes. These proceedings reflect, accurately we think, the spirit of the conferees, but it is not a faithful record of the papers presented at the conference.

A Survey of f-Rings and some of their Generalizations.- Reflections on the Global Dimensions of Rings of Continuous Functions.- Continuous Ultraproducts.- Actions on Archimedean Lattice-Ordered Groups with Strong Unit.- Pointfree Topology and the Spectra of f-Rings.- Commutative Singular f-Rings.- Torsion Classes of Lattice-Ordered Groups with Invariant Radicals.- The Automorphism Groups of Hahn Groups.- The Laterally ?-Complete Reflection of an Archimedean Lattice-Ordered Group.- Ax-Kochen-Ershov Principles for Valued and Ordered Vector Spaces.- Quasi-normal f-Rings.- Rings of Continuous Functions as Real Closed Rings.- On Universal Words for Automorphism Groups of Linear Orders.

Zusatzinfo IX, 332 p.
Verlagsort Dordrecht
Sprache englisch
Maße 170 x 244 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
Mathematik / Informatik Mathematik Logik / Mengenlehre
ISBN-10 0-7923-4377-8 / 0792343778
ISBN-13 978-0-7923-4377-6 / 9780792343776
Zustand Neuware
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