Lifting maximal orders

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].

/pdf/some-examples-of-noncommutative-local-rings-3tof4wp8sr.pdf

Some examples of noncommutative local rings

New examples of maximal orders

Nouveaux exemples d'ordres maximaux

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Nouveaux exemples d'ordres maximaux