Geodesic
A~criterion of elementary divisor domain for distributive domains
Algebra and discrete mathematics, Tome 23 (2017) no. 1, pp. 1-6

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In this paper we introduce the notion of the neat range one for Bezout duo-domains. We show that a distributive Bezout domain is an elementary divisor domain if and only if it is a duo-domain of neat range one.
Keywords: neat ring, clear ring, elementary divisor ring, stable range one, neat range one.
Mots-clés : distributive domain, Bezout duo-domain 
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     author = {V. Bokhonko and B. Zabavsky},
     title = {A~criterion of elementary divisor domain for distributive domains},
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     url = {http://geodesic.mathdoc.fr/item/ADM_2017_23_1_a1/}
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V. Bokhonko; B. Zabavsky. A~criterion of elementary divisor domain for distributive domains. Algebra and discrete mathematics, Tome 23 (2017) no. 1, pp. 1-6. http://geodesic.mathdoc.fr/item/ADM_2017_23_1_a1/