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Algebra and Discrete Mathematics, 2012, Volume 14, Issue 2, Pages 217–229 (Mi adm94)  
RESEARCH ARTICLE

Orthoscalar representations of the partially ordered set $(N, 4)$

S. A. Kruglyaka, I. V. Livinskyb

a Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, 3 Tereshchenkivska st., 01601, Kyiv, Ukraine
b University of Toronto, 40 St. George St., Toronto, Ontario, M5S2E4, CANADA
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Abstract: We obtain a one-parameter series of orthoscalar representations of the partially ordered set $(N, 4)$. This proves that the classification of such representations is a problem of infinite type.
Keywords: partially ordered set, orthoscalar representation, infinite type.
Received: 14.05.2012
Revised: 25.05.2012
Bibliographic databases:
Document Type: Article
MSC: 16G20
Language: English
Citation: S. A. Kruglyak, I. V. Livinsky, “Orthoscalar representations of the partially ordered set $(N, 4)$”, Algebra Discrete Math., 14:2 (2012), 217–229
Citation in format AMSBIB
\Bibitem{KruLiv12}
\by S.~A.~Kruglyak, I.~V.~Livinsky
\paper Orthoscalar representations of the partially ordered set $(N, 4)$
\jour Algebra Discrete Math.
\yr 2012
\vol 14
\issue 2
\pages 217--229
\mathnet{http://mi.mathnet.ru/adm94}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3099970}
\zmath{https://zbmath.org/?q=an:1288.16018}
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