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On Centralizer-Related Intermediate Fields of a Skew Field Extension

✍ Scribed by Jan Treur

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
207 KB
Volume
249
Category
Article
ISSN
0021-8693

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✦ Synopsis

For a skew field extension L/K, a number of intermediate fields can be defined on the basis of the centralizer of K in L. In this paper such intermediate fields are studied in detail. Among the results are a standard decomposition of any skew field extension of finite degree and four types of skew field extensions that are basic to such a standard decomposition. A number of persistence properties of these types are explored.  2002 Elsevier Science (USA)

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