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Some examples of noncommutative local rings

Published online by Cambridge University Press:  18 May 2009

D. A. Jordan
D. A. Jordan
Affiliation:
Department of Pure MathematicsUniversity of SheffieldHicks Building Hounsfield Road Sheffield S3 7RH
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In this paper we construct examples which answer three questions in the general area of noncommutative Noetherian local rings and rings of finite global dimension. The examples are formed in the same basic way, beginning with a commutative polynomial ring A over a field k and a k-derivation δ of A, taking the skew polynomial ring R = A[x;δ] and localizing at a prime ideal of the form IR, where I is a prime ideal of A invariant under δ. The localization is possible by a result of Sigurdsson [13].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 32 , Issue 1 , January 1990 , pp. 79 - 86
Copyright
Copyright © Glasgow Mathematical Journal Trust 1990

References

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