Tohoku Mathematical Journal
2015
December
SECOND SERIES VOL. 67, NO. 4

Tohoku Math. J.
67 (2015), 495-505

Title GROUP ALGEBRAS AND NORMAL BASIS PROBLEM

Author Noriyuki Suwa

(Received February 5, 2014, revised July 4, 2014)
Abstract. We formulate the notion of cleft extensions in the Hopf-Galois theory in the framework of algebraic geometry. The unit group scheme of the algebra of a finite flat group scheme plays a key role.

Mathematics Subject Classification. Primary 13B05; Secondary 14L15, 12G05.
Key words and phrases. Group scheme, Hopf-Galois extension, cleft extension.

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