MORITA THEORY FOR ASSOCIATIVE RINGS |
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Abstract: | In this paper we develop a Morita theory for associative rings without identity using the categories CMod-R of modules M such that M ? Hom(R,M) and DMod-R of modules M such that M ? R ? M. This extends the main results of Morita theory to a wide class of rings, that properly includes the idempotent rings. |
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