Serial rings and subdirect products |
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Authors: | Joel K Haack |
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Institution: | Department of Mathematics, Oklahoma State University, Stillwater, OK 74078, USA |
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Abstract: | A basic Artinian serial ring can be realized as the subdirect product of factor rings of (S, M)-upper triangular matrix rings with S a local Artinian ring and M the maximal ideal of S. As an application the serial subdirect product of (S, M)-rings is shown to have self-duality. |
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Keywords: | 16A48 16A49 Serial rings Subdirect products Morita duality |
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