Geodesic
Diagonalizability theorem for matrices over certain domains
Algebra and discrete mathematics, Tome 12 (2011) no. 1, pp. 132-139

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that $R$ is a commutative adequate domain, then $R$ is the domain of stable range 1 in localization in multiplicative closed set which corresponds s-torsion in the sense of Komarnitskii.
Keywords: a ring of stable range 1, an adequate domain, a co-adequate element, an element of almost stable range 1, an elementary divisors ring.
Mots-clés : a Bezout domain 
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Bogdan Zabavsky; Olga Domsha. Diagonalizability theorem for matrices over certain domains. Algebra and discrete mathematics, Tome 12 (2011) no. 1, pp. 132-139. http://geodesic.mathdoc.fr/item/ADM_2011_12_1_a6/