【摘 要】
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In this paper, we study the relation between exchange rings R and their J-semisimple indecomposable factor rings. In particular, we prove that for any exchange
【机 构】
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Department of Mathematics, Shanghai Jiaotong University Shanghai 200030, China
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In this paper, we study the relation between exchange rings R and their J-semisimple indecomposable factor rings. In particular, we prove that for any exchange ring R and any finitely generated projective R-modules P and Q,P is isomorphic to a direct summand of Q if and only if for every ideal I of R such that R/I is indecomposable and J-semisimple, the right R/I-module P/PI is isomorphic to a direct summand of Q/QI.
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