Abstract
If R Vis a V-module and (R V W S) is a Morita context in which (S/WV) s is flat, then the trace ideal WVis left V-module over S. If, in additionS:(S/WV) is flat and S/WVis a fully left idempotent ring, then Sis also fully left idempotent. The lower (upper) Loewy length of R Vprovides an upper bound for the corresponding Loewy length of s(WV).
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