Tiled orders over discrete valuation rings, finite Markov chains and partially ordered sets. II

• Published in: Algebra and Discrete Mathematics
• Date: 2003
• Main Authors: Chernousova, Zh.T., Dokuchaev, M.A., Khibina, M.A., Kirichenko, V.V., Miroshnichenko, S.G., Zhuravlev, V.N.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155712
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Tiled orders over discrete valuation rings, finite Markov chains and partially ordered sets. II / Zh.T. Chernousova, M.A. Dokuchaev, M.A. Khibina, V.V. Kirichenko, S.G. Miroshnichenko, V.N. Zhuravlev // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 2. — С. 47–86. — Бібліогр.: 44 назв. — англ.

The main concept of this part of the paper is that of a reduced exponent matrix and its quiver, which is strongly connected and simply laced. We give the description of quivers of reduced Gorenstein exponent matrices whose number s of vertices is at most 7. For 2 ≤ 6 s ≤ 5 we have that all a...