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Non-isomorphic rings with isomorphic matrix rings
Published online by Cambridge University Press: 20 January 2009
Abstract
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.
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- Copyright © Edinburgh Mathematical Society 1993
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