RESEARCH ARTICLE

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

S. A. Kruglyak^a, I. V. Livinsky<sup>b

a</sup> 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

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.

MSC: 16G20

Received: 14.05.2012
Revised: 25.05.2012

Language: English

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