Estimates of global dimension

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• 作者：Wei Jiaqun
• 关键词：global dimension ; * ; module
• 刊名：Czechoslovak Mathematical Journal
• 出版年：2006
• 出版时间：June, 2006
• 年：2006
• 卷：56
• 期：2
• 页码：773-780
• 全文大小：112 KB

文摘

In this note we show that for a *n-module, in particular, an almost n-tilting module, P over a ring R with A = End_R P such that P _A has finite flat dimension, the upper bound of the global dimension of A can be estimated by the global dimension of R and hence generalize the corresponding results in tilting theory and the ones in the theory of *-modules. As an application, we show that for a finitely generated projective module over a VN regular ring R, the global dimension of its endomorphism ring is not more than the global dimension of R.