Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/131445
Title: Homological properties of fully bounded Noetherian rings
Authors: Teo, K.-M. 
Issue Date: Feb-1997
Citation: 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
URI: http://scholarbank.nus.edu.sg/handle/10635/131445
ISSN: 00246107
Appears in Collections:Staff Publications

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