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Serial rings and subdirect products
Authors:Joel K Haack
Institution:Department of Mathematics, Oklahoma State University, Stillwater, OK 74078, USA
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.
Keywords:16A48  16A49  Serial rings  Subdirect products  Morita duality
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