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Algebra and Discrete Mathematics, 2006, Issue 2, Pages 17–21 (Mi adm253)  

This article is cited in 9 scientific papers (total in 9 papers)

RESEARCH ARTICLE

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

Vitalij M. Bondarenkoa, Marina V. Styopochkinab

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
Full-text PDF (203 kB) Citations (9)
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.
Received: 05.09.2006
Revised: 29.09.2006
Bibliographic databases:
Document Type: Article
MSC: 15A63, 16G20, 16G60
Language: English
Citation: Vitalij M. Bondarenko, Marina V. Styopochkina, “On finite posets of $\pmb{inj}$-finite type and their Tits forms”, Algebra Discrete Math., 2006, no. 2, 17–21
Citation in format AMSBIB
\Bibitem{BonSty06}
\by Vitalij~M.~Bondarenko, Marina~V.~Styopochkina
\paper On finite posets of $\pmb{inj}$-finite type and their Tits forms
\jour Algebra Discrete Math.
\yr 2006
\issue 2
\pages 17--21
\mathnet{http://mi.mathnet.ru/adm253}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2320979}
\zmath{https://zbmath.org/?q=an:1164.16306}
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  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Algebra and Discrete Mathematics
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    Full-text PDF :192
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