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Ring Theoretic Properties of Matrix Rings

Published online by Cambridge University Press:  20 November 2018

S.M. Kaye
S.M. Kaye*
Affiliation:
McGill University
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K. Morita has shown that, given two rings R and S, there is an isomorphism between the category of left R-modules and the category of left S-modules if and only if there exists an R-S bimodule U such that

(1) U is a progenerator in the category of left R-modules, and

(2) S ≅ (EndR U)opp as rings.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 10 , Issue 3 , August 1967 , pp. 365 - 374
Copyright
Copyright © Canadian Mathematical Society 1967

References

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