On separable extensions of group rings and quaternion rings.
Szeto, George (1978)
International Journal of Mathematics and Mathematical Sciences
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Szeto, George (1978)
International Journal of Mathematics and Mathematical Sciences
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Wehlen, Joseph A. (1979)
Portugaliae mathematica
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Szeto, George (1980)
International Journal of Mathematics and Mathematical Sciences
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Guédénon, T. (2008)
Beiträge zur Algebra und Geometrie
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Klein, Abraham A., Bell, Howard E. (2004)
International Journal of Mathematics and Mathematical Sciences
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Deng, Xinde, Szeto, George (1995)
Portugaliae Mathematica
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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.
Mollin, R.A. (1985)
International Journal of Mathematics and Mathematical Sciences
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Mollin, R.A. (1985)
International Journal of Mathematics and Mathematical Sciences
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Alena Vanžurová (1981)
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
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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...