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Estimates of global dimension

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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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Authors and Affiliations

  1. Department of Mathematics, Nanjing Normal University, Nanjing, 210097, P. R. China

    Wei Jiaqun

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  1. Wei Jiaqun
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Jiaqun, W. Estimates of global dimension. Czech Math J 56, 773–780 (2006). https://doi.org/10.1007/s10587-006-0055-z

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  • DOI: https://doi.org/10.1007/s10587-006-0055-z

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