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Non-isomorphic rings with isomorphic matrix rings

Published online by Cambridge University Press:  20 January 2009

A. W. Chatters
A. W. Chatters
Affiliation:
School of Mathematics, University Walk, Bristol BS8 1TW
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Abstract

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We construct an uncountable family of pairwise non-isomorphic rings Si, such that the corresponding full 2 by 2 matrix rings M2(Si) are all isomorphic to each other. The rings Si are Noetherian integral domains which are finitely-generated as modules over their centres.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 36 , Issue 2 , June 1993 , pp. 339 - 348
Copyright
Copyright © Edinburgh Mathematical Society 1993

References

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