On separable extensions of group rings and quaternion rings.

Szeto, George

Displaying similar documents to “On separable extensions of group rings and quaternion rings.”

On generalized quaternion algebras.

Szeto, George (1980)

International Journal of Mathematics and Mathematical Sciences

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Idempotents and the multiplicative group of some totally bounded rings

Mohamed A. Salim, Adela Tripe (2011)

Czechoslovak Mathematical Journal

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In this paper, we extend some results of D. Dolzan on finite rings to profinite rings, a complete classification of profinite commutative rings with a monothetic group of units is given. We also prove the metrizability of commutative profinite rings with monothetic group of units and without nonzero Boolean ideals. Using a property of Mersenne numbers, we construct a family of power $2^{ℵ_{0}}$ commutative non-isomorphic profinite semiprimitive rings with monothetic group of units.

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...