Relevant bibliographies by topics / Ordered Abelian groups

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  1. Journal articles

Academic literature on the topic 'Ordered Abelian groups'

Author: Grafiati
Published: 28 September 2024

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Journal articles on the topic "Ordered Abelian groups"

1

Jakubík, Ján. "Retracts of abelian lattice ordered groups." Czechoslovak Mathematical Journal 39, no. 3 (1989): 477–85. http://dx.doi.org/10.21136/cmj.1989.102319.

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2

Glass, A. M. W. "Weakly abelian lattice-ordered groups." Proceedings of the American Mathematical Society 129, no. 3 (2000): 677–84. http://dx.doi.org/10.1090/s0002-9939-00-05706-3.

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3

Conrad, Paul, and J. Roger Teller. "Abelian pseudo lattice ordered groups." Publicationes Mathematicae Debrecen 17, no. 1-4 (2022): 223–41. http://dx.doi.org/10.5486/pmd.1970.17.1-4.26.

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4

Glass, A. M. W., Angus Macintyre, and Françoise Point. "Free abelian lattice-ordered groups." Annals of Pure and Applied Logic 134, no. 2-3 (2005): 265–83. http://dx.doi.org/10.1016/j.apal.2004.10.017.

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5

Glass, A. M. W. "Finitely presented ordered groups." Proceedings of the Edinburgh Mathematical Society 33, no. 2 (1990): 299–301. http://dx.doi.org/10.1017/s0013091500018204.

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6

Di Nola, Antonio, Giacomo Lenzi, Gaetano Vitale, and Roberto Giuntini. "Expanding Lattice Ordered Abelian Groups to Riesz Spaces." Mathematica Slovaca 72, no. 1 (2022): 1–10. http://dx.doi.org/10.1515/ms-2022-0001.

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Abstract:
Abstract First we give a necessary and sufficient condition for an abelian lattice ordered group to admit an expansion to a Riesz space (or vector lattice). Then we construct a totally ordered abelian group with two non-isomorphic Riesz space structures, thus improving a previous paper where the example was a non-totally ordered lattice ordered abelian group. This answers a question raised by Conrad in 1975. We give also a partial solution to another problem considered in the same paper. Finally, we apply our results to MV-algebras and Riesz MV-algebras.
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7

GÖBEL, RÜDIGER, and SAHARON SHELAH. "CHARACTERIZING AUTOMORPHISM GROUPS OF ORDERED ABELIAN GROUPS." Bulletin of the London Mathematical Society 35, no. 03 (2003): 289–92. http://dx.doi.org/10.1112/s0024609302001881.

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8

Goffman. "COMPLETENESS IN TOTALLY ORDERED ABELIAN GROUPS." Real Analysis Exchange 20, no. 1 (1994): 58. http://dx.doi.org/10.2307/44152461.

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9

Dolich, Alfred, and John Goodrick. "Strong theories of ordered Abelian groups." Fundamenta Mathematicae 236, no. 3 (2017): 269–96. http://dx.doi.org/10.4064/fm256-5-2016.

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10

CLUCKERS, RAF, and IMMANUEL HALUPCZOK. "QUANTIFIER ELIMINATION IN ORDERED ABELIAN GROUPS." Confluentes Mathematici 03, no. 04 (2011): 587–615. http://dx.doi.org/10.1142/s1793744211000473.

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