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Partially Ordered Group of the 2×2 Symmetric Matrices
InPrime, 2019 This paper deals with the partially ordered group of the 2×2 symmetric matrices. A matrix is defined to be a positive if each entry of the matrix is positive. With the characterization of the 2×2 symmetric matrix, we construct the positive cone such that
Irmatul Hasanah
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On the Embedding of Ordered Semigroups into Ordered Group [PDF]
Czechoslovak Mathematical Journal, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ibrahim, Mohammed Ali Faya
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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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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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The group of order preserving automorphisms of an ordered abelian group [PDF]
Proceedings of the American Mathematical Society, 1958 1. Representation of an automorphism group by a group of matrices. Whenever possible we shall represent automorphisms by matrices. This is a straightforward generalization of the classical case (for example, see Kurosh [3, p. 156]), and no proofs will be given.
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Strong amalgamations of lattice ordered groups and modules
International Journal of Mathematics and Mathematical Sciences, 1993 We show that every variety of representable lattice ordered groups fails the strong amalgamation property. The same result holds for the variety of f-modules over an f-ring.
Mona Cherri, Wayne B. Powell
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Sequential convergences on free lattice ordered groups [PDF]
, 1992 summary:In this paper the partially ordered set Conv $G$ of all sequential convergences on $G$ is investigated, where $G$ is either a free lattice ordered group or a free abelian lattice ordered ...
Jakubík, Ján
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$\alpha$-Projectable and laterally $\alpha$-complete Archimedean lattice-ordered groups with weak unit via topology [PDF]
Categories and General Algebraic Structures with ApplicationsLet $\bf{W}$ be the category of Archimedean lattice-ordered groups with weak order unit, $\bf{Comp}$ the category of compact Hausdorff spaces, and $\mathbf{W} \xrightarrow{Y} \mathbf{Comp}$ the Yosida functor, which represents a $\bf{W}$-object $A$ as ...
Brian Wynne, Anthony Hager
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Discussiones Mathematicae - General Algebra and Applications, 2020 This note is written to show that the definition of the LA- Γ -hypersemi-group and the definition of the ordered LA- Γ -hypersemigroup in [2] should be corrected and that it is not enough to replace the “Γ” of the ordered LA-Γ-semigroup by “◦ Γ ◦” to ...
Kehayopulu Niovi
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