On posets of width two with positive Tits form
Algebra and discrete mathematics, no. 2 (2005), pp. 20-35.

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We give a complete description of the finite posets of width two with the Tits form to be positive. This problem arises in studying the categories of representations of posets of finite type.
Keywords: minimax (semiminimax) sum, (min, max)-equivalent posets, positive form, the quadratic Tits form.
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     author = {Vitalij M. Bondarenko and Marina V. Styopochkina},
     title = {On posets of width two with positive {Tits} form},
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     year = {2005},
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Vitalij M. Bondarenko; Marina V. Styopochkina. On posets of width two with positive Tits form. Algebra and discrete mathematics, no. 2 (2005), pp. 20-35. http://geodesic.mathdoc.fr/item/ADM_2005_2_a1/