Ordered Algebraic Structures

Proceedings of the Curaçao Conference, sponsored by the Caribbean Mathematics Foundation, June 26¿30, 1995
1997
ISBN: 978-0-7923-4377-6
Verlag: Springer Netherlands

Buch, Englisch, 332 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1470 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Martínez, Jorge

Holland, W.C.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie

Inhaltsverzeichnis

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.