Abstract

In this paper, we present an easy way to construct partial Galois extensions; in particular, any direct sum of finitely many Galois extensions forms a partial Galois extension. The idea is inspired by the study of how Galois extensions are embedded in a partial Galois extension via minimal elements in an associated Boolean semigroup.

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 call

Disclaimer: 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.