Ordered groups
type: Item
instance of: scholarly article
title: Ordered groups
zbMATH Open document ID: 0519.06014
DOI: 10.1007/BF01090174
author: V. M. Kopytov
published in: Journal of Soviet Mathematics
publication date: 1983-01-01T00:00:00Z
Mathematics Subject Classification ID: 06F15
Mathematics Subject Classification ID: 06-02
Mathematics Subject Classification ID: 06F20
Mathematics Subject Classification ID: 20F60
Mathematics Subject Classification ID: 22A05
zbMATH DE Number: 3821814
zbMATH Keywords: survey
zbMATH Keywords: linearly ordered groups
zbMATH Keywords: right ordered groups
zbMATH Keywords: lattice ordered groups
zbMATH Keywords: complete l-groups
zbMATH Keywords: varieties of l-groups
zbMATH Keywords: lattice of varieties
zbMATH Keywords: radical classes
zbMATH Keywords: automorphisms of l-groups
zbMATH Keywords: Riesz groups
MaRDI profile type: Publication
cites work: Q3867854
cites work: An example of an unordered group with strictly isolated identity element
cites work: T-generically ordered groups
cites work: Nonaxiomatizability of lattice orderable groups
cites work: Relatively convex subgroups of orderable groups
cites work: Ordered Lie algebras
cites work: On linearly ordered solvable groups
cites work: Lattice-ordered locally nilpotent groups
cites work: Q4141288
cites work: Q3879290
cites work: Linearly ordered groups whose system of convex subgroups is central
cites work: Varieties of lattice-ordered groups
cites work: The lattices of varieties of lattice-ordered groups and Lie algebras
cites work: Extension of Lie algebra orderings
cites work: Groups admitting a unique maximal \(\omega\)-order
cites work: Extensions of Partial Right Orders on Nilpotent Groups
cites work: Right-Ordered Locally Nilpotent Groups
cites work: Full convex l-subgroups and the existence of \(a^*\)-closures of lattice ordered groups
cites work: Topological lattice ordered groups
cites work: The o-primitive components of a regular ordered permutation group
cites work: Homogeneous lattices and lattice-ordered groups
cites work: Lateral and Dedekind Completion of Archimedean Lattice Groups
cites work: The lateral completion of an arbitrary lattice group
cites work: Applications of Duality in the Theory of Finitely Generated Lattice-Ordered Abelian Groups
cites work: Groupes et anneaux reticules
cites work: The SP-hull of a Lattice-Ordered Group
cites work: Q4094910
cites work: Free i-Groups and vector lattices
cites work: a ∗ -Closures of Lattice-Ordered Groups
cites work: Kernels in Lattice-Ordered Groups
cites work: On the retractability of some one-relator groups
cites work: Q4159421
cites work: The lattice of solid $\sigma$-subgroups of a retractable group
cites work: Retractable groups
cites work: Q4159422
cites work: Groups of complexes of a representable lattice-ordered group
cites work: Q4196471
cites work: The Topological Completion and the Linearly Compact Hull of an Abelian l -Group
cites work: Epi-archimedean groups
cites work: Countable vector lattices
cites work: The Additive Group of an f-ring
cites work: Q4078082
cites work: Lattice-ordered groups with rank one components
cites work: Compatible Tight Riesz Orders on the Group of Automorphisms of an 0-2-Homogeneous Set
cites work: Compatible Tight Riesz Orders on the Group of Automorphisms of an 0-2-Homogeneous Set: Addendum
cites work: Q4195008
cites work: Über verbandsgeordnete Vektorgruppen mit Operatoren. Til Karl Egil Aubert, for tyve års liaison scientifique et amicale
cites work: Extending Partial Right Orders on Nilpotent Groups
cites work: Some results in statistical inference
cites work: An embedding theorem for ordered groups
cites work: Commutators in orderable groups
cites work: Can a Fibonacci group be a unique products group?
cites work: Sublattices of free products of lattice ordered groups
cites work: l-simple lattice-ordered groups
cites work: The word problem for lattice ordered groups

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cites work: Results in partially ordered groups

Ordered groups (cites work)
cites work: Compatible Tight Riesz Orders

Ordered groups (cites work)
cites work: Compatible Tight Riesz Orders II

Ordered groups (cites work)
cites work: \(a^*\)-closures of completely distributive lattice-ordered groups

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cites work: Some l-Simple Pathological Lattice-Ordered Groups

Ordered groups (cites work)
cites work: Completeness of the Real Numbers

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cites work: Expanded theory of ordered Abelian groups

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cites work: Groups of automorphisms of linearly ordered sets

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cites work: Outer automorphisms of ordered permutation groups

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cites work: The Largest Proper Variety of Lattice Ordered Groups

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cites work: Accessibility of torsion classes

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cites work: Q4168953

Ordered groups (cites work)
cites work: Nilpotent \(\ell\)-groups are representable

Ordered groups (cites work)
cites work: Splitting property of lattice ordered groups

Ordered groups (cites work)
cites work: Conditionally orthogonally completel-groups

Ordered groups (cites work)
cites work: Cardinal sums of linearly ordered groups

Ordered groups (cites work)
cites work: Products of torsion classes of lattice ordered groups

Ordered groups (cites work)
cites work: Q4149499

Ordered groups (cites work)
cites work: Lattice ordered groups with cyclic linearly ordered subgroups

Ordered groups (cites work)
cites work: Strongly projectable lattice ordered groups

Ordered groups (cites work)
cites work: Q4145757

Ordered groups (cites work)
cites work: Archimedean kernel of a lattice ordered group

Ordered groups (cites work)
cites work: Generalized Dedekind completion of a lattice ordered group

Ordered groups (cites work)
cites work: Orthogonal hull of a strongly projectable lattice ordered group

Ordered groups (cites work)
cites work: Maximal Dedekind completion of an abelian lattice-ordered group

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cites work: On algebraic operations of a lattice-ordered group

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cites work: Generalized lattice identities in lattice ordered groups

Ordered groups (cites work)
cites work: Isometries of lattice ordered groups

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cites work: The Completion of an Abelian l-Group

Ordered groups (cites work)
cites work: Q4198821

Ordered groups (cites work)
cites work: Q4135784

Ordered groups (cites work)
cites work: Completeness of two theories on ordered abelian groups and embedding relations

Ordered groups (cites work)
cites work: Groups cannot be Souslin ordered

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cites work: A Remark on the Group Rings of Order Preserving Permutation Groups

Ordered groups (cites work)
cites work: Q4121952

Ordered groups (cites work)
cites work: Varieties of lattice-ordered groups

Ordered groups (cites work)
cites work: The hyper-archimedean kernel sequence of a lattice-ordered group

Ordered groups (cites work)
cites work: Torsion theory for lattice-ordered groups

Ordered groups (cites work)
cites work: Doubling chains, singular elements and hyper-\(\mathcal Z\) \(l\)-groups

Ordered groups (cites work)
cites work: Q4156474

Ordered groups (cites work)
cites work: Nilpotent lattice-ordered groups

Ordered groups (cites work)
cites work: The lattice-ordered group of automorphisms of an \(\alpha\)-set

Ordered groups (cites work)
cites work: O-2-transitive ordered permutation groups

Ordered groups (cites work)
cites work: O-primitive ordered permutation groups. II

Ordered groups (cites work)
cites work: The structure of intransitive ordered permutation groups

Ordered groups (cites work)
cites work: Subdirect representation of tight Riesz groups by hybrid products.

Ordered groups (cites work)
cites work: Direct summands inl-groups

Ordered groups (cites work)
cites work: Right-Ordered Polycyclic Groups

Ordered groups (cites work)
cites work: Solvable groups in which every maximal partial order is isolated

Ordered groups (cites work)
cites work: Ordered solvable groups satisfying the maximal condition on isolated subgroups and groups with finitely many relatively convex subgroups

Ordered groups (cites work)
cites work: A Class of Right-Orderable Groups

Ordered groups (cites work)
cites work: Subdirect product of \(O^*\) groups

Ordered groups (cites work)
cites work: Topologically orderable groups

Ordered groups (cites work)
cites work: Extensions of Right Orders in Solvable Groups

Ordered groups (cites work)
cites work: Amalgamated sums of Abelian l-groups

Ordered groups (cites work)
cites work: Characterization of all order relations in direct sums of ordered groups

Ordered groups (cites work)
cites work: Q4154912

Ordered groups (cites work)
cites work: Prime subgroups of ordered groups

Ordered groups (cites work)
cites work: On extensions of orders of groups and rings

Ordered groups (cites work)
cites work: Riesz groups with a finite number of disjoint elements

Ordered groups (cites work)
cites work: Q4184885

Ordered groups (cites work)
cites work: Q4193526

Ordered groups (cites work)
cites work: Archimedean and basic elements in completely distributive lattice-ordered groups

Ordered groups (cites work)
cites work: Bases in completely distributive lattice-ordered groups

Ordered groups (cites work)
cites work: Non-secular, locally compact TRL groups

Ordered groups (cites work)
cites work: Q4068776

Ordered groups (cites work)
cites work: Right-Ordered Groups

Ordered groups (cites work)
cites work: Residually F p -Groups, for Many Primes p, are Orderable

Ordered groups (cites work)
cites work: Q5540526

Ordered groups (cites work)
cites work: The Birkhoff—Egerváry—Kőnig theorem for matrices over lattice ordered abelian groups

Ordered groups (cites work)
cites work: A Large Class of Small Varieties of Lattice-Ordered Groups

Ordered groups (cites work)
cites work: Cauchy completion of partially ordered groups

Ordered groups (cites work)
cites work: Cauchy completion of Abelian tight Riesz groups

Ordered groups (cites work)
cites work: Q3049024

Ordered groups (cites work)
cites work: The lattice of topologies of topological $l$-groups

Ordered groups (cites work)
cites work: Q4150474

Ordered groups (cites work)
cites work: Q3905344

Ordered groups (cites work)
cites work: Isometries in autometrized lattice ordered groups

Ordered groups (cites work)
cites work: Q4163283

Ordered groups (cites work)
cites work: Gruppen inäquivalenter z -Erweiterungen linear geordneter abelscher Gruppen mit natürlich geordneten Monoiden

Ordered groups (cites work)
cites work: Locally compact tight Riesz groups

Ordered groups (cites work)
cites work: Q5562047

Ordered groups (cites work)
cites work: Représentation d'une classe de groupes archimediens

Ordered groups (full work available at URL)
full work available at URL: https://doi.org/10.1007/bf01090174

Ordered groups (OpenAlex ID)
OpenAlex ID: W4211228004