Existentially complete lattice-ordered groups
Identifieur interne : 000426 ( Main/Exploration ); précédent : 000425; suivant : 000427Existentially complete lattice-ordered groups
Auteurs : A. M. W. Glass [États-Unis] ; Keith R. Pierce [États-Unis]Source :
- Israel Journal of Mathematics [ 0021-2172 ] ; 1980-09-01.
English descriptors
- Teeft :
- Abelian groups, Algebra, Algebra theorem, Amalgamation, Amalgamation property, Appendix theorem, Complete structures, Countable, Crucial lemma, Disjoint, Division rings, Elementary class, Existentially, Finitely, First case, First order number theory, Free product, Free products, Generic ones, Group theory, Groups conference, Joint embedding property, Lattice, Lattice operations, Latticeordered groups, Lemma, Marcel dekker, Mathematical logic, Model companion, Nilpotent groups, Other hand, Pairwise, Pairwise disjoint, Pairwise disjoint elements, Pairwise equivalent countable existentially, Permutation, Permutation groups, Positive element, Positive elements, Second order number theory, Simple groups, Springer lecture notes, Subgroup, Transitive, Transitive representation.
Abstract
Abstract: We investigate existentially complete lattice-ordered groups in this paper. In particular, we list some of their algebraic properties and show that there are continuum many countable pairwise non-elementarily equivalent such latticeordered groups. In particular, existentially complete lattice-ordered groups give rise to a new class of simple groups.
Url:
DOI: 10.1007/BF02762049
Affiliations:
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Le document en format XML
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In particular, we list some of their algebraic properties and show that there are continuum many countable pairwise non-elementarily equivalent such latticeordered groups. In particular, existentially complete lattice-ordered groups give rise to a new class of simple groups.</div></front></TEI><affiliations><list><country><li>États-Unis</li></country><region><li>Missouri (État)</li><li>Ohio</li></region></list><tree><country name="États-Unis"><region name="Ohio"><name sortKey="Glass, A M W" sort="Glass, A M W" uniqKey="Glass A" first="A. M. W." last="Glass">A. M. W. Glass</name></region><name sortKey="Glass, A M W" sort="Glass, A M W" uniqKey="Glass A" first="A. M. W." last="Glass">A. M. W. Glass</name><name sortKey="Pierce, Keith R" sort="Pierce, Keith R" uniqKey="Pierce K" first="Keith R." last="Pierce">Keith R. Pierce</name><name sortKey="Pierce, Keith R" sort="Pierce, Keith R" uniqKey="Pierce K" first="Keith R." last="Pierce">Keith R. Pierce</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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