There have been a number of attempts recently to define a Galois theory for purely
inseparable ring extensions. The exponent one case has been successfully dealt with by a …

Publisher Summary This chapter focuses on the aspects of the Brauer group that are close
to the algebraic theory concerning the separable algebras representing the elements …

Several years ago, Honda [-8] and Cartier [9] proved the following result: Let E be an elliptic
curve over the rational integer ring Z and let/~ be the completion of E along its zero section …

Proof. Set M= N, in Theorem ll Naturality and homomorphism properties are easily checked,
w Non-abelian# Jnitsur cohomology sets and sequences For 0~ i~ n integers define ci: S n …