Permutation Kirichenko’s Latins square.
Keywords:
Exponent matrix, latin square, admissible quiver, rigid quiverAbstract
One of the most important classes, which appear in various questions of the ring theory and the image theory, is the class of the tiled orders. Each tiled order is completely determined by its exponent matrix and discrete valuation ring. Many of the properties of these rings are completely determined by their exponent matrix, such as quivers of rings. We continues the study of exponent matrices. It is devoted to research of exponent matrices that are Latin squares and their quivers. We found all possible Kirichenko’s permutation for Gorenstein matrices which are Latin squares.
References
M. Hazewinkel, N. Gubareni, V.V. Kirichenko, Algebras Rings and Modules, vol. 1., Kluwer Academic Publishers, 2004. 380 p.
V.V. Kirichenko , O.V. Zelenskiy, V.N. Zhuravlev, Exponent Matrices and Tiled Order over Discrete Valuation Rings, International Journal of Algebra and Computation. 15 (2005), no. 5-6, 1–16.
V. V. Kirichenko, M. A. Khibina, V. N Zhuravlev, O. V Zelenskiy, Quivers and Latin square, Journal of Mathematical Sciences, Sao Paulo, (2017), 1–15.
