Estimates of global dimension |
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Authors: | Wei Jiaqun |
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Institution: | (1) Department of Mathematics, Nanjing Normal University, Nanjing, 210097, P. R. China |
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Abstract: | In this note we show that for a *n-module, in particular, an almost n-tilting module, P over a ring R with A = EndR
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. |
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Keywords: | global dimension *-module |
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