Abstract
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.
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REFERENCES
F. M. Sokhats'kyi, “On the classification of functional equations on quasigroups,” Ukr. Mat. Zh., 56, No.9, 1259–1266 (2004).
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 8, pp. 1058 – 1068, August, 2005.
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Koval', R.F. Classification of Quadratic Parastrophically Uncancelable Functional Equations for Five Object Variables on Quasigroups. Ukr Math J 57, 1249–1261 (2005). https://doi.org/10.1007/s11253-005-0259-7
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DOI: https://doi.org/10.1007/s11253-005-0259-7