Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Pseudo-algebraically closed fields over rational function fields

Authors: Moshe Jarden and Saharon Shelah
Journal: Proc. Amer. Math. Soc. 87 (1983), 223-228
MSC: Primary 12F20; Secondary 12F99
MathSciNet review: 681825
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The following theorem is proved: Let $ T$ be an uncountable set of algebraically independent elements over a field $ {K_0}$. Then $ K = {K_0}(T)$ is a Hilbertian field but the set of $ \sigma \in G(K)$ for which $ \tilde K(\sigma )$ is PAC is nonmeasurable.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 12F20, 12F99

Retrieve articles in all journals with MSC: 12F20, 12F99

Additional Information

PII: S 0002-9939(1983)0681825-4
Keywords: PAC fields, Hilbertian fields, Haar measure
Article copyright: © Copyright 1983 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia