The stable rank of pullbacks

L. N. Vaserstein

doi:10.1016/j.jalgebra.2014.04.008

The stable rank of pullbacks

L. N. Vaserstein

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We prove that the stable rank of any pullback (fibre product) does not exceed the stable ranks of factors. We obtain also another result bounding the stable rank of a ring by the stable ranks of its factor rings.

Original language	English (US)
Pages (from-to)	239-243
Number of pages	5
Journal	Journal of Algebra
Volume	410
DOIs	https://doi.org/10.1016/j.jalgebra.2014.04.008
State	Published - Jul 15 2014

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jalgebra.2014.04.008

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title = "The stable rank of pullbacks",

abstract = "We prove that the stable rank of any pullback (fibre product) does not exceed the stable ranks of factors. We obtain also another result bounding the stable rank of a ring by the stable ranks of its factor rings.",

author = "Vaserstein, \{L. N.\}",

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AB - We prove that the stable rank of any pullback (fibre product) does not exceed the stable ranks of factors. We obtain also another result bounding the stable rank of a ring by the stable ranks of its factor rings.

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SP - 239

EP - 243

JO - Journal of Algebra

JF - Journal of Algebra

ER -

The stable rank of pullbacks

Abstract

All Science Journal Classification (ASJC) codes

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