Abstract
A short introduction to this paper can be found in the introduction of the author's paper Completely Primary Rings (Referred to as CPI and published in this journal.) The first part of the present paper develops the necessary structure theorems for p-independence preserving field extensions. For the imbedding theorems of completely primary rings, only Corollary 1.1 is necessary, but for the isomorphism theorems we also need Theorem 1.1. The connection between the imbedding theorems and theorems of 1. S. Cohen is discussed in Remark 4.1. This paper has been materially improved by remarks by Drs. G. S. Whaples, I. S. Cohen (see Remark 4.1) and S. MacLane, who was the first to suggest that the present ring theory could be developed for arbitrary p-independence preserving field extensions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
