Abstract:
We regard generalized sharply $n$-transitive groups
as generalizations of affine, projective, $n$-transitive
transformation groups. Pseudo-fields of degree $n$ are
regarded as generalizations of the algebraic systems of
near-domains, $\mathrm{KT}$-fields and fields of degree $n$.
We prove that generalized sharply $n$-transitive groups
and pseudo-fields of degree $n$ are category equivalent.
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