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A note on the Krull dimension of certain algebras

Part of: Division rings and semisimple Artin rings

Published online by Cambridge University Press:  26 February 2010

B. A. F. Wehrfritz
B. A. F. Wehrfritz
Affiliation:
School of Mathematical Sciences, Queen Mary and Westfield College, Mile End Road, London. El 4NS
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Abstract. For F a field we compute, explicitly and directly, the right Krull dimension of the algebra Qop⊗FQ for certain semisimple Artinian F-algebras Q. (Here Qop denotes the opposite ring of Q.) We use our calculation to give alternative proofs of some theorems of J. T. Stafford and A. I. Lichtman. Our methods involve a detailed study of skew polynomial rings.

MSC classification

Secondary: 16K20: Finite-dimensional
Type
Research Article
Information
Mathematika , Volume 39 , Issue 1 , June 1992 , pp. 49 - 55
Copyright
Copyright © University College London 1992

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References

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