Description of posets critical with respect to the nonnegativity of the quadratic Tits form

We present the complete description of finite posets whose Tits form is not nonnegative but all proper subsets of which have nonnegative Tits forms. A similar result for positive forms was obtained by the authors earlier.

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Bibliographic Details
Date:2009
Main Authors: Bondarenko, V. M., Stepochkina, M. V., Бондаренко, В. М., Степочкина, М. В.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2009
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3045
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal