2017
Том 69
№ 9

All Issues

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

Bondarenko V. M., Stepochkina M. V.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 9, pp 1349-1359.

Citation Example: Bondarenko V. M., Stepochkina M. V. $(\min, \max)$-equivalence of posets and nonnegative Tits forms // Ukr. Mat. Zh. - 2008. - 60, № 9. - pp. 1157–1167.

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