On projective modules (Q581461)
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scientific article; zbMATH DE number 4019192
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On projective modules |
scientific article; zbMATH DE number 4019192 |
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On projective modules (English)
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1987
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Let R be a commutative Noetherian ring with identity. The Hermite dimension of R is defined to be the least \(integer\quad r\) such that every stably free R-module of rank greater than r is free. In this paper we study rings R obtained upon inversion of elements of a given ring A. We show that the Hermite dimension of R does not depend on Hermite dimension of A, it depends on the Krull dimension of A.
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stably free module
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Hermite dimension
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Krull dimension
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