Vitalij M. Bondarenko, Marina V. Styopochkina, “On finite posets of <nobr>$\pmb{inj}$</nobr>-finite type and their Tits forms”, Algebra Discrete Math., 2006, Issue 2,Pages <nobr>17

This article is cited in 9 papers

RESEARCH ARTICLE

On finite posets of $\pmb{inj}$-finite type and their Tits forms

Vitalij M. Bondarenko^a, Marina V. Styopochkina^b

^a Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivska 3, 01601 Kyiv, Ukraine
^b Kyiv Taras Shevchenko University, Volodymyrs'ka 64, Kyiv, 01033, Ukraine

Abstract: We prove one theorem on connection between $inj$-finiteness of a finite poset and positive definiteness of its Tits form.

Keywords: category of representations, $inj$-finite poset, positive definite form, the quadratic Tits form.

MSC: 15A63, 16G20, 16G60

Received: 05.09.2006
Revised: 29.09.2006

Language: English