Gorenstein matrices

• Published in: Algebra and Discrete Mathematics
• Date: 2005
• Main Authors: Dokuchaev, M.A., Kirichenko, V.V., Zelensky, A.V., Zhuravlev, V.N.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156609
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Gorenstein matrices / M.A. Dokuchaev, V.V. Kirichenko, A.V. Zelensky, V.N. Zhuravlev // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 1. — С. 8–29. — Бібліогр.: 24 назв. — англ.

Let A = (aij ) be an integral matrix. We say that
 A is (0, 1, 2)-matrix if aij ∈ {0, 1, 2}. There exists the Gorenstein
 (0, 1, 2)-matrix for any permutation σ on the set {1, . . . , n} without fixed elements. For every positive integer n there exists the
 Gorenstein cyclic...