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Article

Title: On dilations and contractions in Riesz groups (English)
Author: Jasem, Milan
Language: English
Journal: Časopis pro pěstování matematiky
ISSN: 0528-2195
Volume: 115
Issue: 2
Year: 1990
Pages: 134-141
Summary lang: English
Summary lang: Slovak
Summary lang: Russian
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Category: math
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MSC: 06F15
idZBL: Zbl 0704.06009
idMR: MR1054000
DOI: 10.21136/CPM.1990.108367
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Date available: 2009-09-23T09:57:19Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/108367
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Reference: [1] Л. Фукс: Частично упорядоченные алгебраические системы.Москва 1965. Zbl 1099.01519
Reference: [2] W. Charles Holland: Intrinsic metrics for lattice ordered groups.Algebra Universalis 19, 1984, 142-150. MR 0758313
Reference: [3] Ján Jakubík: Isometries of lattice ordered groups.Czechoslovak Math. J. 30 (1980), 142-152. MR 0565917
Reference: [4] Ján Jakubík: On isometries of non-abelian lattice ordered groups.Math. Slovaca 31 (1981), 171-175. MR 0611629
Reference: [5] Ján Jakubík, Milan Kolibiar: Isometries of multilattice groups.Czechoslovak Math. J. 33 (1933), 602-612. MR 0721089
Reference: [6] Milan Jasem: Isometries in Riesz groups.Czechoslovak Math. J. 36 (1986), 35-43. MR 0822864
Reference: [7] Jiří Rachůnek: Isometries in ordered groups.Czechoslovak Math. J. 34 (1984), 334-341. MR 0743498
Reference: [8] K. L. Narashimha Swamy: Autometrized lattice ordered groups I.Math. Annalen 154 (1964), 406-412. MR 0162867
Reference: [9] K. L. Narasimha Swamy: Isometries in autometrized lattice ordered groups.Algebra Universalis 8 (1978), 59-64. MR 0463074
Reference: [10] K. L. Narasimha Swamy: Isometries in autometrized lattice ordered groups II.Math. Seminar Notes Kobe Univ. 5 (1977), 211-214. MR 0463075
Reference: [11] Joan Trias: Lattice isometries in Riesz spaces.Preprint, Univ. Politecnica Barcelona, 1981.
Reference: [12] Joan Trias Pairo: On generalized idempotents, lattice-dilations and contractions in f-rings.Algebra Universalis 16 (1983), 370-389. MR 0695057
Reference: [13] Joan Trias Pairo: Lattice-isometries in f-rings.Algebra and Order. Proc. First Internat. Symposium on Ordered Algebraic Structures Luming-Marseilles 1984, Heldermann Verlag Berlin 1986, 245-252. MR 0891467
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