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Fundamentalnaya i Prikladnaya Matematika, 2014, Volume 19, Issue 6, Pages 3–5 (Mi fpm1612)  
Bézout rings with finite Krull dimension

A. Gatalevych

Ivan Franko State University of L'viv, Ukraine
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Abstract: It is proven that if $R$ is a commutative Bézout ring of Krull dimension $1$, with stable range $2$, then $R$ is an elementary divisor ring.
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 221, Issue 3, Pages 313–314
DOI: https://doi.org/10.1007/s10958-017-3228-4
Bibliographic databases:
Document Type: Article
UDC: 512.552.12
Language: Russian
Citation: A. Gatalevych, “Bézout rings with finite Krull dimension”, Fundam. Prikl. Mat., 19:6 (2014), 3–5; J. Math. Sci., 221:3 (2017), 313–314
Citation in format AMSBIB
\Bibitem{Gat14}
\by A.~Gatalevych
\paper B\'ezout rings with finite Krull dimension
\jour Fundam. Prikl. Mat.
\yr 2014
\vol 19
\issue 6
\pages 3--5
\mathnet{http://mi.mathnet.ru/fpm1612}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431899}
\transl
\jour J. Math. Sci.
\yr 2017
\vol 221
\issue 3
\pages 313--314
\crossref{https://doi.org/10.1007/s10958-017-3228-4}
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