TY - JOUR AU - V. M. Bondarenko AU - M. V. Stepochkina PY - 2008/09/25 Y2 - 2024/03/28 TI - $(\min, \max)$-equivalence of posets and nonnegative Tits forms JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 60 IS - 9 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3234 AB - 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 to S is weakly nonnegative. ER -