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Ring Theoretic Properties of Matrix Rings
- Source :
- Canadian Mathematical Bulletin. 10:365-374
- Publication Year :
- 1967
- Publisher :
- Canadian Mathematical Society, 1967.
-
Abstract
- 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.
Details
- ISSN :
- 14964287 and 00084395
- Volume :
- 10
- Database :
- OpenAIRE
- Journal :
- Canadian Mathematical Bulletin
- Accession number :
- edsair.doi...........e8b9399f6349165b29d977e25f97cd11