$(\min, \max)$-equivalence of posets and nonnegative Tits forms

• Datum: 2008
• Hauptverfasser: Bondarenko, V. M., Stepochkina, M. V., Бондаренко, В. М., Степочкина, М. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2008
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3234
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the relationship between the (min, max)-equivalence of posets and properties of their quadratic Tits form related to nonnegative definiteness. In particular, we prove that the Tits form of a poset S is nonnegative definite if and only if the Tits form of any poset $(\min, \max)$-equivalent...