Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 44, No. 1, pp. 179188 (2003) 

On Matrix Rings over UnitRegular RingsTsanMing Lok and K. P. ShumDepartment of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, China (SAR); email: kpshum@math.cuhk.edu.hkAbstract: In this paper, we prove that a unitregular ring $R$ is isomorphic to a Busque ring $S$ if its matrix rings $M_n (R)$ and $M_n (S)$ are isomorphic. This gives a partial answer to a matrix isomorphism question for unitregular rings proposed in the text of K. Goodearl. Keywords: unitregular rings; directly finite $\aleph_0$continuous regular rings; Replacement Lemma Classification (MSC2000): 16A30 Full text of the article:
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