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On homotopies of finite $$n$$-quasigroups. (Russian) Zbl 0744.20060
Finite $$n$$-quasigroups are considered. A homotopy of an $$n$$-quasigroup $$B$$ onto an $$n$$-quasigroup $$A$$ is said to be non-trivial, if $$| B| > | A| > 1$$. The author finds a condition for the existence non-trivial homotopies of an $$n$$-quasigroup onto another one, and describes all $$n$$-quasigroups being a homotopy pre-image of a given $$n$$-quasigroup. He describes all homotopies of quasigroups which are isotopic to groups.
##### MSC:
 20N15 $$n$$-ary systems $$(n\ge 3)$$
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