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|Title:||Homological properties of fully bounded Noetherian rings|
|Source:||Teo, K.-M. (1997-02). Homological properties of fully bounded Noetherian rings. Journal of the London Mathematical Society 55 (1) : 37-54. ScholarBank@NUS Repository.|
|Abstract:||Let R be a fully bounded Noetherian ring of finite global dimension. Then we prove that K dim (R) ≤ gldim(R). If in addition, R is local, in the sense that R/J(R) is simple Artinian, then we prove that R is Auslander-regular and satisfies a version of the Cohen-Macaulay property. As a consequence, we show that a local fully bounded Noetherian ring of finite global dimension is isomorphic to a matrix ring over a local domain, and a maximal order in its simple Artinian quotient ring.|
|Source Title:||Journal of the London Mathematical Society|
|Appears in Collections:||Staff Publications|
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