The stable rank of pullbacks

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)239-243
Number of pages5
JournalJournal of Algebra
Volume410
DOIs
StatePublished - Jul 15 2014

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Stable Rank
Pullback
Ring
Exceed
Fiber

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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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, {Leonid N.}",
year = "2014",
month = "7",
day = "15",
doi = "10.1016/j.jalgebra.2014.04.008",
language = "English (US)",
volume = "410",
pages = "239--243",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",

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The stable rank of pullbacks. / Vaserstein, Leonid N.

In: Journal of Algebra, Vol. 410, 15.07.2014, p. 239-243.

Research output: Contribution to journalArticle

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