# On projections of the tails of a power

@inproceedings{Corson2022OnPO, title={On projections of the tails of a power}, author={Samuel M. Corson and Saharon Shelah}, year={2022} }

. Let κ be an inaccessible cardinal, U be a universal algebra, and ∼ be the equivalence relation on U κ of eventual equality. From mild assumptions on κ we give general constructions of E ∈ End ( U κ / ∼) satisfying E ○ E = E which do not descend from ∆ ∈ End ( U κ ) having small strong supports. As an application there exists an E ∈ End ( Z κ / ∼) which does not come from a ∆ ∈ End ( Z κ ) .

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