On the stable range of matrix rings
It is shown that an adequate ring with nonzero Jacobson radical has a stable range 1. A class of matrices over an adequate ring with stable range 1 is indicated.
English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 11, pp 1853-1857.
Citation Example: Petrichkovich V. M., Zabavskii B. V. On the stable range of matrix rings // Ukr. Mat. Zh. - 2009. - 61, № 11. - pp. 1575-1578.