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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 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

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.

UDC: 512.552.12


 English version:
Journal of Mathematical Sciences (New York), 2017, 221:3, 313–314

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