This article is cited in 18 papers

RESEARCH ARTICLE

On posets of width two with positive Tits form

Vitalij M. Bondarenko^a, Marina V. Styopochkina<sup>b

a</sup> Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivska 3, 01601 Kyiv, Ukraine
^b Kyiv Taras Shevchenko University, Volodymyrs'ka 64, Kyiv, 01033, Ukraine

Abstract: We give a complete description of the finite posets of width two with the Tits form to be positive. This problem arises in studying the categories of representations of posets of finite type.

Keywords: minimax (semiminimax) sum, (min, max)-equivalent posets, positive form, the quadratic Tits form.

MSC: 15A63, 16G20, 16G60

Received: 23.06.2005
Revised: 01.07.2005

Language: English

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