Minimax sums of posets and the quadratic Tits form

• Date: 2018
• Main Authors: Bondarenko, Vitalij M., Polishchuk, Andrej M.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: poset; minimax sum; the rank of a sum; the Tits form; 15A; 16G
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/978
• Journal Title: Algebra and Discrete Mathematics

Let \(S\) be an infinite poset (partially ordered set) and \(\mathbb{Z}_0^{S\cup{0}}\) the subset of the cartesian product \(\mathbb{Z}^{S\cup{0}}\) consisting of all vectors \(z=(z_i)\) with finite number of nonzero coordinates. We call the quadratic Tits form of \(S\)  (by analogy with the case of...