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We in this note introduce a new concept,so called strongly J-semiclean ring,that is a generalization of strongly J-clean rings.We first observe the basic properties of strongly J-semiclean rings,constructing typical examples.We next investigate conditions on a local ring R that imply that the upper triangular matrix ring Tn(R) is a strongly J-semiclean ring.Also,the criteria on strong J-semicleanness of 2 × 2 matrices in terms of a quadratic equation are given.As a consequence,several known results relating to strongly J-clean rings are extended to a more general setting.