岡山大学環境理工学部研究報告 ISSN 2187-6940
Published by Faculty of Environmental Science and Technology, Okayama University

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Commutative quartic P-Galois extensions over a field of characteristic 2

Nakajima, Atsushi
Abstract
Let A/R be a ring extension and P a subset of Hom(A(R),A(R)). In his paper [5], K. Kishimoto introduced the notion of a P-Galois extension and gave several basic properties of these extensions. The author showed that these extensions are closely related to Hopf Galois extensions and the structure of quadratic or cubic P-Galois extensions over a field were given in [9] and [10]. Recently,the author classify commutative quartic P-Galois extensions over a field of characteristic not 2 in [11]. Continuing [11], we treat commutative quartic P-Galois extensions over a field of characteristic 2.
Keywords
Cyclic extension
P-Galois extension
Hopf Galois extension
ISSN
1341-9099
NCID
AN10529213