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

  • V. M. Bondarenko Ин-т математики НАН Украины, Киев
  • M. V. Stepochkina


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.
How to Cite
Bondarenko, V. M., and M. V. Stepochkina. “$(\min, \max)$-Equivalence of Posets and Nonnegative Tits Forms”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 9, Sept. 2008, pp. 1157–1167, https://umj.imath.kiev.ua/index.php/umj/article/view/3234.
Research articles