Functional Equations for Lexicographic Products
逻辑
2013-01-03 v1 环与代数
摘要
We generalize the main result of math.RA/9608214 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.
引用
@article{arxiv.math/0107206,
title = {Functional Equations for Lexicographic Products},
author = {Franz--Viktor Kuhlmann and Salma Kuhlmann and Saharon Shelah},
journal= {arXiv preprint arXiv:math/0107206},
year = {2013}
}