on characterizations of a center galois extension

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ID: 149055
2000
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Abstract
Let B be a ring with 1,  C the center of B,  G a finite automorphism group of B, and BG the set of elements in B fixed under each element in G. Then, it is shown that B is a center Galois extension of BG (that is, C is a Galois algebra over CG with Galois group G|C≅G) if and only if the ideal of B generated by {c−g(c)|c∈C} is B for each g≠1 in G. This generalizes the well known characterization of a commutative Galois extension C that C is a Galois extension of CG with Galois group G if and only if the ideal generated by {c−g(c)|c∈C} is C for each g≠1 in G. Some more characterizations of a center Galois extension B are also given.
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szeto2000internationalon Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors George Szeto, Lianyong Xue
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Journal structural engineering and mechanics
Year 2000
DOI
10.1155/S0161171200003562
URL
http://dx.doi.org/10.1155/S0161171200003562
Keywords
mathematics h-separable extensions

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