Ukrainian Mathematical Journal

, Volume 57, Issue 8, pp 1249–1261 | Cite as

Classification of Quadratic Parastrophically Uncancelable Functional Equations for Five Object Variables on Quasigroups

  • R. F. Koval'


We continue the investigation of quadratic functional equations over quasigroup operations and prove that every parastrophically uncancelable quadratic equation for five object variables is parastrophically equivalent to one of four given functional equations.


Functional Equation Quadratic Equation Object Variable Quadratic Functional Equation Quasigroup Operation 
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  1. 1.
    F. M. Sokhats'kyi, “On the classification of functional equations on quasigroups,” Ukr. Mat. Zh., 56, No.9, 1259–1266 (2004).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • R. F. Koval'
    • 1
  1. 1.Vinnytsya Pedagogic UniversityVinnytsyaUkraine

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