Geodesic
Every zero adequate ring is an exchange ring
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 3, pp. 61-66 
B. V. Zabavsky; S. I. Bilavska. Every zero adequate ring is an exchange ring. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 3, pp. 61-66. http://geodesic.mathdoc.fr/item/FPM_2012_17_3_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that if $R$ is a commutative ring in which zero is an adequate element, then $R$ is an exchange ring and that every zero adequate ring is an exchange ring. There is a new description of adequate rings; this is an answer to questions formulated by Larsen, Lewis, and Shores.

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