# Sh:615

- Kuhlmann, F.-V., Kuhlmann, S., & Shelah, S. (2003).
*Functorial equations for lexicographic products*. Proc. Amer. Math. Soc.,**131**(10), 2969–2976. arXiv: math/0107206 DOI: 10.1090/S0002-9939-03-06830-8 MR: 1993201 -
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}, mrnumber = {1993201}, mrclass = {06A05 (03C60 12J25)}, doi = {10.1090/S0002-9939-03-06830-8}, note = {\href{https://arxiv.org/abs/math/0107206}{arXiv: math/0107206}}, arxiv_number = {math/0107206} }