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math.LO2016
Reconstruction theorems for semigroups of functions which contain all transpositions of a set and for clones with the same property
Jonah Maissel, Matatyahu Rubin
We prove that if S is a set of functions from a set A to itself, S is closed under composition, and S contains all transpositions of A, then the action of S on Acan be recovered fr…
math.LO2005★ 14 cited
Locally Moving Groups and the Reconstruction Problem for Chains and Circles
Stephen McCleary, Matatyahu Rubin
We prove that complete Boolean algebras can be reconstructed from any locally moving subgroup of their full automorphism group. We use this theorem in order to prove that linear or…