## Ordered Algebraic Structures: The 1991 Conrad ConferenceJorge Martínez, W.C. Holland 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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### Contents

Torsion Classes of Vector Lattices | 11 |

Disjoint Conjugate Chains | 31 |

Big Subgroups of Automorphism Groups of Doubly Homogeneous Chains | 51 |

Orderable Groups Satisfying an Engel Condition | 72 |

Ordered Rings of Generalized Power Series | 98 |

Functorial Rings of Quotients I | 132 |

Semiprime fRings that are Subdirect Products of Valuation Domains | 159 |

Central fElements in LatticeOrdered Algebras | 203 |

PIOTR J WOJCIECHOWSKI 225 | 224 |

### Other editions - View all

Ordered Algebraic Structures: The 1991 Conrad Conference Jorge Martínez,W.C. Holland Limited preview - 1993 |

Ordered Algebraic Structures: The 1991 Conrad Conference Jorge Martínez,W.C. Holland No preview available - 2012 |

### Common terms and phrases

1-convex 6-isomorphic 8-ideal A-morphism A-object abelian archimedean assume bounded inversion closed with respect commutative rings commutative semi-prime f-ring cone Conrad constructible constructible subsets contains convex subgroup Corollary countable defined definition denote disjoint conjugate chain division ring embedding example exists f-algebra f-ring with identity functorial group G hence homomorphism implies isomorphism l-group l-group G l-subgroup l-variety laterally complete lattice ordered lattice-ordered groups lattice-ordered ring left ideal Lemma Let G local-global Math Max(A maximal ideal maximal left ideal maximal subgroups minimal prime ideal morphism ms-functor Note ordered group ordered ring partial order Paul Conrad polynomial positive integer Proposition pseudoprime PW(A real spectrum result ring of quotients satisfies scalar multiplication semiprime f-ring separating ideal skew Spec(C special elements special-valued spectral spaces Sper Sper(A subring subset subspace suffices to show supp(x Suppose SV-ring symmetric topology torsion class torsion-free totally ordered vector lattice