Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 44, No. 1, pp. 179-188 (2003) |
|
On Matrix Rings over Unit-Regular RingsTsan-Ming Lok and K. P. ShumDepartment of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, China (SAR); e-mail: kpshum@math.cuhk.edu.hkAbstract: In this paper, we prove that a unit-regular 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 unit-regular rings proposed in the text of K. Goodearl. Keywords: unit-regular rings; directly finite $\aleph_0$-continuous regular rings; Replacement Lemma Classification (MSC2000): 16A30 Full text of the article:
Electronic version published on: 3 Apr 2003. This page was last modified: 4 May 2006.
© 2003 Heldermann Verlag
|