We introduce and study a new kind of generalized inverses named w-(b,c)-core inverses,which is a generalization of the(b,c)-core inverse.An example is given to show that w-(b,c)-core inverses need not be(b,c)-core inv...We introduce and study a new kind of generalized inverses named w-(b,c)-core inverses,which is a generalization of the(b,c)-core inverse.An example is given to show that w-(b,c)-core inverses need not be(b,c)-core inverses.In addition,the dual version of the w-(b,c)-core inverse is studied.Some results on(b,c)-core inverses and e-(b,c)-core inverses are unifed and generalized.展开更多
基金pported by National Natural Science Foundation of China(Grant No.12161049).
文摘We introduce and study a new kind of generalized inverses named w-(b,c)-core inverses,which is a generalization of the(b,c)-core inverse.An example is given to show that w-(b,c)-core inverses need not be(b,c)-core inverses.In addition,the dual version of the w-(b,c)-core inverse is studied.Some results on(b,c)-core inverses and e-(b,c)-core inverses are unifed and generalized.