S. A. Kruglyak, I. V. Livinsky, “Orthoscalar representations of the partially ordered set $(N, 4)$”, Algebra Discrete Math., 2012, том 14, выпуск 2,страницы 217

RESEARCH ARTICLE

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

S. A. Kruglyak^a, I. V. Livinsky^b

^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

Аннотация: 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.

Ключевые слова: partially ordered set, orthoscalar representation, infinite type.

MSC: 16G20

Поступила в редакцию: 14.05.2012
Исправленный вариант: 25.05.2012

Язык публикации: английский