Another Proof of a Theorem of Van den Bergh about Graded-Injective Modules

Autor:	Yekutieli, Amnon
Rok vydání:	2014
Předmět:	Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	M. Van den Bergh proved that if A is a left noetherian N-graded ring, and I is a graded-injective left A-module, then the injective dimension of I in the ungraded sense is at most 1. In this note we give another proof of this result. Our proof follows the same strategy as the original proof by Van den Bergh, yet it is somewhat more conceptual, in that it isolates the precise "reason" for the dimension jump. Comment: 6 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1407.5916 Zobrazit plný text záznamu View this record from Arxiv