# Sh:615

• Kuhlmann, F.-V., Kuhlmann, S., & Shelah, S. (2003). Functorial equations for lexicographic products. Proc. Amer. Math. Soc., 131(10), 2969–2976.
• Abstract:
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)^{\leq 0}\simeq \Gamma, (\Delta^\Gamma)\simeq \Gamma, and (\Delta^\Gamma)^{<0}\simeq\Gamma.
• published version (8p)
Bib entry
@article{Sh:615,
author = {Kuhlmann, Franz-Viktor and Kuhlmann, Salma and Shelah, Saharon},
title = {{Functorial equations for lexicographic products}},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {131},
number = {10},
year = {2003},
pages = {2969--2976},
issn = {0002-9939},
doi = {10.1090/S0002-9939-03-06830-8},
mrclass = {06A05 (03C60 12J25)},
mrnumber = {1993201},
mrreviewer = {Joachim Gr\"ater},
doi = {10.1090/S0002-9939-03-06830-8},
note = {\href{https://arxiv.org/abs/math/0107206}{arXiv: math/0107206}},
arxiv_number = {math/0107206}
}