Ebook: Ordered Algebraic Structures: The 1991 Conrad Conference

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.

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Content:
Front Matter....Pages i-xiii
Front Matter....Pages 1-1
Isotone Projection Cones....Pages 3-10
Torsion Classes of Vector Lattices....Pages 11-30
Disjoint Conjugate Chains....Pages 31-49
Big Subgroups of Automorphism Groups of Doubly Homogeneous Chains....Pages 51-71
Orderable Groups Satisfying an Engel Condition....Pages 73-79
On Covers in the Lattice of Quasivarieties of l-Groups....Pages 81-96
Front Matter....Pages 97-97
Ordered Rings of Generalized Power Series....Pages 99-109
Natural Partial Orders on Division Rings with Involution....Pages 111-131
Functorial Rings of Quotients I....Pages 133-157
Semiprime f-Rings That Are Subdirect Products of Valuation Domains....Pages 159-168
Piecewise polynomial functions....Pages 169-202
Central f-Elements in Lattice-Ordered Algebras....Pages 203-223
Archimedean Almost f-Algebras that Arise as Generalized Semigroup Rings....Pages 225-233
A Characterization of Local-Global f-Rings....Pages 235-249
Back Matter....Pages 251-256

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Content:
Front Matter....Pages i-xiii
Front Matter....Pages 1-1
Isotone Projection Cones....Pages 3-10
Torsion Classes of Vector Lattices....Pages 11-30
Disjoint Conjugate Chains....Pages 31-49
Big Subgroups of Automorphism Groups of Doubly Homogeneous Chains....Pages 51-71
Orderable Groups Satisfying an Engel Condition....Pages 73-79
On Covers in the Lattice of Quasivarieties of l-Groups....Pages 81-96
Front Matter....Pages 97-97
Ordered Rings of Generalized Power Series....Pages 99-109
Natural Partial Orders on Division Rings with Involution....Pages 111-131
Functorial Rings of Quotients I....Pages 133-157
Semiprime f-Rings That Are Subdirect Products of Valuation Domains....Pages 159-168
Piecewise polynomial functions....Pages 169-202
Central f-Elements in Lattice-Ordered Algebras....Pages 203-223
Archimedean Almost f-Algebras that Arise as Generalized Semigroup Rings....Pages 225-233
A Characterization of Local-Global f-Rings....Pages 235-249
Back Matter....Pages 251-256
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