### Functorial Equations for Lexicographic Products

by Kuhlmann and Kuhlmann and Shelah. [KKSh:615]

Proc American Math Soc, 2003

We generalize the main result of [KKSh:601] concerning the
convex embeddings of a chain Gamma in a lexicographic power
Delta^Gamma . For a fixed nonempty chain Delta, we derive
necessary and sufficient conditions for the existence of nonempty
solutions Gamma to each of the lexicographic functional equations
(Delta^Gamma)^{<= 0} simeq Gamma, (Delta^Gamma) simeq
Gamma, and (Delta^Gamma)^{<0} simeq Gamma .

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