Displaying similar documents to “Generalizations of the primitive element theorem.”

On ruled fields

Jack Ohm (1989)

Journal de théorie des nombres de Bordeaux

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Some results and problems that arise in connection with the foundations of the theory of ruled and rational field extensions are discussed.

Places of alternative fields

Alena Vanžurová (1981)

Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika

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Non-commutative separability and group actions.

Ricardo Alfaro (1992)

Publicacions Matemàtiques

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We give conditions for the skew group ring S * G to be strongly separable and H-separable over the ring S. In particular we show that the H-separability is equivalent to S being central Galois extension. We also look into the H-separability of the ring S over the fixed subring R under a faithful action of a group G. We show that such a chain: S * G H-separable over S and S H-separable over R cannot occur, and that the centralizer of R in S is an Azumaya algebra in the presence of a central...