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Second centralizers of partial transformations

Janusz Konieczny (2001)

Czechoslovak Mathematical Journal

Second centralizers of partial transformations on a finite set are determined. In particular, it is shown that the second centralizer of any partial transformation α consists of partial transformations that are locally powers of α .

Selfdistributive groupoids of small orders

Jaroslav Ježek, Tomáš Kepka (1997)

Czechoslovak Mathematical Journal

After enumerating isomorphism types of at most five-element left distributive groupoids, we prove that a distributive groupoid with less than 81 elements is necessarily medial.

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