Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleCharacterizing F<sub>p</sub> via noncommutative minimal ring extensions.AuthorsDobbs, David E.AbstractWe prove that if p is a prime number, then up to isomorphism, Fp is the only field of characteristic p all of whose minimal ring extensions are commutative.SubjectsNONCOMMUTATIVE rings; PRIME numbers; ISOMORPHISM (Mathematics); ASSOCIATIVE rings; NONCOMMUTATIVE algebrasPublicationPalestine Journal of Mathematics, 2022, Vol 11, Issue 4, p23ISSN2219-5688Publication typeArticle