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

• Published in: Algebra and Discrete Mathematics
• Date: 2012
• Main Authors: Kruglyak, S.A., Livinsky, I.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152239
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Orthoscalar representations of the partially ordered set (N, 4) / S.A. Kruglyak, I.V. Livinsky // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 217–229. — Бібліогр.: 18 назв. — англ.

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.