Use this URL to cite or link to this record in EThOS: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.796901
Title: Homological properties of Noetherian rings and Noetherian ring extensions
Author: Yi, Zhong
Awarding Body: University of Glasgow
Current Institution: University of Glasgow
Date of Award: 1993
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Abstract:
This thesis is devoted to the study of the homological dimension, homological homogeneity and injective homogeneity of the skew group rings, crossed products, group graded rings and the Ore extensions; and to the study of the Auslander-Gorenstein, the Auslander-regular and the Macaulay properties of the injectively homogeneous rings and the homologically homogeneous rings. In chapter 2, we study the global dimension of skew group rings, crossed products and group graded rings. In chapter 3 we first study the injective homogeneity of crossed products, then use the smash products machinery to extend our results to strongly group graded rings. In chapter 4, We come to study the Auslander-Gorenstein, the Auslander-regular and the Macaulay properties of injectively homogeneous and homologically homogeneous Noetherian rings which are integral over their centres.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.796901  DOI: Not available
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