Results 11 to 20 of about 321,441 (313)
Ordering groups and validity in lattice-ordered groups [PDF]
Journal of Pure and Applied Algebra, 2019 A characterization is given of the subsets of a group that extend to the positive cone of a right order on the group and used to relate validity of equations in lattice-ordered groups (l-groups) to subsets of free groups that extend to positive cones of right orders.
Colacito, Almudena, Metcalfe, George
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Periodic Ordered Permutation Groups and Cyclic Orderings [PDF]
Journal of Combinatorial Theory, Series B, 1995 It is shown that periodic ordered permutation groups satisfying certain extra conditions are very nearly simple. This is applied to several natural examples, such as the following. (i) If \(z\) denotes the map \(x \mapsto x + 1\) on \(\mathbb{R}\), and \(\text{Diff}(\mathbb{R})\) is the group of diffeomorphisms of \(\mathbb{R}\), then \(C_{\text{Diff}(\
Manfred Droste +2 more
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Topological lattice-ordered groups [PDF]
Pacific Journal of Mathematics, 1979 Several types of hulls and completions of lattice ordered groups have been obtained by algebraic methods. In this paper is laid some groundwork for the application of topological and uniform-space concepts to the same end by setting forth those links—topological, algebraic and semantic— between a topological lattice ordered group H and a topologically ...
Richard Neal Ball
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On half lattice ordered groups [PDF]
, 1996 summary:The notion of the half linearly ordered group (and, more generally, of the half lattice ordered group) was introduced by Giraudet and Lucas [2]. In the present paper we define the lexicographic product of half linearly ordered groups.
Jakubík, Ján +2 more
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On some interpolation rules for lattice ordered groups [PDF]
, 2004 summary:Let $\alpha $ be an infinite cardinal. In this paper we define an interpolation rule $\mathop {\mathrm IR}(\alpha )$ for lattice ordered groups.
Jakubík, Ján, Ján Jakubík
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A classification of finite rank dimension groups by their representations in ordered real vector spaces [PDF]
, 2011 Peer ...
Aaron Tikuisis +5 more
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Torsion classes of Specker lattice ordered groups [PDF]
, 2002 summary:In this paper we investigate the relations between torsion classes of Specker lattice ordered groups and torsion classes of generalized Boolean ...
Jakubík, Ján
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Compatible elements in partly ordered groups
International Journal of Mathematics and Mathematical Sciences, 2005 Some conditions equivalent to a strong quasi-divisor property (SQDP) for a partly ordered group G are derived. It is proved that if G is defined by a family of t-valuations of finite character, then G admits an SQDP if and only if it admits a quasi ...
Jirí Mockor, Angeliki Kontolatou
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Ordered groups with greatest common divisors theory
International Journal of Mathematics and Mathematical Sciences, 2000 An embedding (called a GCD theory) of partly ordered abelian group G into abelian l-group Γ is investigated such that any element of Γ is an infimum of a subset (possible non-finite) from G. It is proved that a GCD theory need not be unique.
Jiří Močkoř
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Proof theory for lattice-ordered groups [PDF]
, 2016 Proof-theoretic methods are developed and exploited to establish properties of the variety of lattice-ordered groups. In particular, a hypersequent calculus with a cut rule is used to provide an alternative syntactic proof of the generation of the ...
Metcalfe, George +3 more
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