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Quivers and Latin squares

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Abstract

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.

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Authors and Affiliations

  1. Kyiv National Taras Shevchenko University, Kyiv, Ukraine

    V. V. Kirichenko & V. M. Zhuravlev

  2. Institute of Engineering Thermophysics, NAS of Ukraine, Kyiv, Ukraine

    M. A. Khibina

  3. Kamianets-Podilsky Ivan Ohienko National University, Kamianets-Podilsky, Ukraine

    O. V. Zelensky

Authors
  1. V. V. Kirichenko
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  2. M. A. Khibina
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  3. V. M. Zhuravlev
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  4. O. V. Zelensky
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Corresponding author

Correspondence to V. V. Kirichenko.

Additional information

Dedicated to Professor Cezar Polcino Milies on occasion of his 70th birthday.

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Kirichenko, V.V., Khibina, M.A., Zhuravlev, V.M. et al. Quivers and Latin squares. São Paulo J. Math. Sci. 10, 286–300 (2016). https://doi.org/10.1007/s40863-015-0031-3

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  • DOI: https://doi.org/10.1007/s40863-015-0031-3

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