AI 中文总结
该研究推广了Marker与Steinhorn的构造方法，得到了所有有限及可数无限超越度的无平凡自同构的可数非阿基米德实闭域，回答了相关问题。
AI 中文摘要
我们推广了Marker和Steinhorn构造可数非阿基米德实闭域的方法，这类域无任何非平凡自同构。原构造得到的是相对于实代数数域超越度为2的此类域；我们证明可利用相同方法构造出相对于实代数数域具有所有有限超越度及可数无限超越度的例子，回答了Marker和Steinhorn提出的问题。
英文摘要
We extend a construction of Marker and Steinhorn for producing countable non-archimedean real closed fields which have no non-trivial automorphisms. The original construction produces such a field of transcendence degree two over the field of real algebraic numbers. We show how to use the same method to produce examples of all finite transcendence degrees and of countably infinite transcendence degree over the real algebraic numbers, answering a question of Marker and Steinhorn.
