- 期刊
ON GALOIS PROJECTIVE GROUP RINGS
並列摘要
Let A be a ring with 1, C the center of A and G' an inner automorphism group of A induced by {U_α in A/α in a finite group G whose order is invertible}. Let A^(G') be the fixed subring of A under the action of G'. If A is a Galcis extension of A^(G') with Galois group G' and C is the center of the subring ∑_αA^(G')U_α then A=∑_αA^(G')U_α and the center of A^(G') is also C. Moreover, if ∑_αA^(G')U_α is Azumaya over C, then A is a projective group ring.
延伸閱讀
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- Szeto, G. (1978). ON SEPARABLE EXTENSIONS OF GROUP RINGS AND QUATERNION RINGS. International Journal of Mathematics and Mathematical Sciences, 1978(), 433-438. https://doi.org/10.1155/S0161171278000435
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