Quivers and Latin squares

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• 作者：V. V. Kirichenko ; M. A. Khibina…
• 关键词：Exponent matrix ; Quiver ; Latin squares
• 刊名：S?o Paulo Journal of Mathematical Sciences
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：10
• 期：2
• 页码：286-300
• 全文大小：431 KB
• 刊物类别：Mathematics, general;
• 刊物主题：Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：2316-9028
• 卷排序：10

文摘

We investigate quivers obtained from exponent matrices which are Latin squares. One of the aspects of ring theory is the study of ring properties using graph theory. Each tiled order is completely determined by its exponent matrix and discrete valuation ring. Many properties of these rings are completely determined by their exponent matrices and quivers of these rings in particular. This paper continues the study of exponent matrices. It is devoted to research of exponent matrices that are Latin squares and their quivers.