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On the Galois theory of purely inseparable field extensions

1970/09/01 by Murray Gerstenhaber, Avigdor Zaromp · 16 citations
Mathematics · #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Mathematics #Galois theory #Fundamental theorem of Galois theory #Field (mathematics) #Galois extension #Galois group #Pure mathematics

paper · pdf · doi:10.1090/s0002-9904-1970-12535-6

published in Bulletin of the American Mathematical Society 76(5), 1011-1015 (American Mathematical Society)

openalex publication_date 1970/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/07

Abstract

The main purpose of this announcement is to show that those purely inseparable field extensions which behave in a certain sense like normal extensions in fact are of a fundamentally abelian character. Detailed proofs of most results are contained in the second author's thesis [].

Citations

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