On Galois matrix extensions of high order

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George Szeto
Xiaolong Jiang

Abstract

Let R be a commutative ring with 1 and A a central R-Galois algebra with an inner Galois group G of order n for some integer n. Let Mm(R) be the ring of m × m-matrices over R for an integer m. Then Mm(R) is also a central Galois R-algebra with an inner Galois group for each m = n(2i) where i is a non-negative integer. In particular, 2 is invertible in R if and only if Mm(R) is a central Galois R-algebra with an inner Galois group for each m = 2(2i) where i is a non-negative integer.

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How to Cite
Szeto, G., & Jiang, X. (2014). On Galois matrix extensions of high order. Gulf Journal of Mathematics, 2(3). Retrieved from https://gjom.org/index.php/gjom/article/view/226
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