Classification of generalized ternary quadratic quasigroup functional equations of the length three
Keyword(s):
A functional equation is called: generalized if all functional variables are pairwise different; ternary if all its functional variables are ternary; quadratic if each individual variable has exactly two appearances; quasigroup if its solutions are studied only on invertible functions. A length of a functional equation is the number of all its functional variables. A complete classification up to parastrophically primary equivalence of generalized quadratic quasigroup functional equations of the length three is given. Solution sets of a full family of representatives of the equivalence are found.
2013 ◽
Vol 59
(2)
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pp. 299-320
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2017 ◽
Vol 16
(10)
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pp. 1750197
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2015 ◽
Vol 11
(04)
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pp. 1233-1257
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