Functional Equations for Lexicographic Products *
نویسنده
چکیده
We generalize the main result of [K–K–S] concerning the convex embeddings of a chain Γ in a lexicographic power ∆Γ. For a fixed non-empty chain ∆, we derive necessary and sufficient conditions for the existence of non-empty solutions Γ to each of the lexicographic functional equations (∆) ≃ Γ , (∆) ≃ Γ and (∆) ≃ Γ .
منابع مشابه
Functorial Equations for Lexicographic Products
We generalize the main result of [K–K–S] concerning the convex embeddings of a chain Γ in a lexicographic power ∆Γ. For a fixed non-empty chain ∆, we derive necessary and sufficient conditions for the existence of non-empty solutions Γ to each of the lexicographic functorial equations (∆) ' Γ , (∆) ' Γ and (∆) ' Γ .
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