Functorial equations for lexicographic products

Franz Viktor Kuhlmann*, Salma Kuhlmann, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We generalize the main result of an earlier paper by the authors (Exponentiation in power series fields, Proc. Amer. Math. Soc. 125 (1997), 3177-3183) concerning the convex embeddings of a chain Γ in a lexicographic power ΔΓ. For a fixed non-empty chain Δ, we derive necessary and sufficient conditions for the existence of non-empty solutions Γ to each of the lexicographic functorial equations (ΔΓ)≤0 ≃ Γ, (Δ Γ)≤0 ≃ Γ and (Δ Γ)≤0 ≃ Γ.

Original languageEnglish
Pages (from-to)2969-2976
Number of pages8
JournalProceedings of the American Mathematical Society
Volume131
Issue number10
DOIs
StatePublished - Oct 2003

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