On rigid quivers

V. V. Kirichenko, V. N. Zhuravlev, I. N. Tsiganovskaya

National Taras Shevchenko University of Kyiv

Abstract: We consider quivers that appear in the theory of tiled orders, in particular, rigid quivers. We prove that a quiver having a loop at each vertex is not rigid, and the quiver associated with a finite partially ordered set having one minimal element is rigid.

UDC: 512.552.1

 English version: Journal of Mathematical Sciences (New York), 2008, 152:2, 209–219

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