Please use this identifier to cite or link to this item:
http://hdl.handle.net/123456789/143
Title: | Gorenstein matrices |
Other Titles: | Dedicated to Yu.A. Drozd on the occasion of his 60th birthday |
Authors: | Dokuchaev, M. A. Kirichenko, V. V. Zelensky, A. V. Zhuravlev, V. N. |
Issue Date: | 2005 |
Publisher: | Луганский национальный университет им. Т. Шевченко |
Abstract: | Let A = (aij) be an integral matrix. We say that A is (0, 1, 2)-matrix if aij 2 {0, 1, 2}. There exists the Gorenstein (0, 1, 2)-matrix for any permutation on the set {1, . . . , n} with- out fixed elements. For every positive integer n there exists the Gorenstein cyclic (0, 1, 2)-matrix An such that inxAn = 2. If a Latin square Ln with a first row and first column (0, 1, . . n − 1) is an exponent matrix, then n = 2m and Ln is the Cayley table of a direct product of m copies of the cyclic group of order 2. |
URI: | http://hdl.handle.net/123456789/143 |
ISSN: | 1726-3255 |
Appears in Collections: | Статті |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
adm-n1-2.pdf | 266.97 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.