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Matematicheskie Zametki, 2001, Volume 69, Issue 1, Pages 122–132
DOI: https://doi.org/10.4213/mzm489 (Mi mzm489) 		 
This article is cited in 11 scientific papers (total in 11 papers)

On a Generalization of the Notion of Orthogonality and on the Riesz Groups

E. E. Shirshova

Moscow State Pedagogical University
Full-text PDF (208 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm489
Abstract: A method for generalizing the notion of orthogonality to arbitrary partially ordered groups is considered. In the paper, the properties of almost orthogonal elements in Riesz groups are investigated. A series of results on convex directed subgroups associated with a pair of almost orthogonal elements of a Riesz group is obtained. For these subgroups, some theorems on homomorphisms are proved.
Received: 21.12.1999
English version:
Mathematical Notes, 2001, Volume 69, Issue 1, Pages 107–115
DOI: https://doi.org/10.1023/A:1002851714336
Bibliographic databases:
UDC: 512.545
Language: Russian
Citation: E. E. Shirshova, “On a Generalization of the Notion of Orthogonality and on the Riesz Groups”, Mat. Zametki, 69:1 (2001), 122–132; Math. Notes, 69:1 (2001), 107–115
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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