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Injective homogeneity and the Auslander–Gorenstein property

Published online by Cambridge University Press:  18 May 2009

Zhong Yi
Affiliation:
Department of Mathematics, University of Glasgow, University Gardens, Glasgow, G12 8QW, Scotland, U.K.
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In this paper we refer to [13] and [16] for the basic terminology and properties of Noetherian rings. For example, an FBNring means a fully bounded Noetherian ring [13, p. 132], and a cliqueof a Noetherian ring Rmeans a connected component of the graph of links of R[13, p. 178]. For a ring Rand a right or left R–module Mwe use pr.dim.(M) and inj.dim.(M) to denote its projective dimension and injective dimension respectively. The right global dimension of Ris denoted by r.gl.dim.(R).

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1995

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