Ordered Algebraic Structures

The 1991 Conrad Conference
1993
ISBN: 978-0-7923-2258-0
Verlag: Springer Netherlands

Buch, Englisch, 256 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1250 g

This volume contains a selection of papers presented at the 1991 Conrad Conference, held in Gainesville, Florida, USA, in December, 1991. Together, these give an overview of some recent advances in the area of ordered algebraic structures. The first part of the book is devoted to ordered permutation groups and universal, as well as model-theoretic, aspects. The second part deals with material variously connected to general topology and functional analysis. Collectively, the contents of the book demonstrate the wide applicability of order-theoretic methods, and how ordered algebraic structures have connections with many research disciplines.
For researchers and graduate students whose work involves ordered algebraic structures.

Zielgruppe

Research

Autoren/Hrsg.

Holland, W. C.

Martínez, Jorge

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie

Inhaltsverzeichnis

One: Groups and Vector Spaces.- Isotone Projection Cones.- Torsion Classes of Vector Lattices.- Disjoint Conjugate Chains.- Big Subgroups of Automorphism Groups of Doubly Homogeneous Chains.- Orderable Groups Satisfying an Engel Condition.- On Covers in the Lattice of Quasivarieties of 1-Groups.- Two: Rings.- Ordered Rings of Generalized Power Series.- Natural Partial Orders on Division Rings with Involution.- Functorial Rings of Quotients I.- Semiprime f-Rings that are Subdirect Products of Valuation Domains.- Piecewise Polynomial Functions.- Central f-Elements in Lattice-Ordered Algebras.- Archimedean Almost f-Algebras that Arise as Generalized Semigroup Rings.- A Characterization of Local-Global f-Rings.