The pseudo core inverses of differences and products of projections in rings with involution

Xiaofeng Chen, Jianlong Chen, Yukun Zhou

Abstract


Let R be a unital ring with involution. The pseudo core inverses of differences and products of two projections are investigated in R. Some equivalent conditions are obtained. As applications, the pseudo core invertibility of the commutator pq-qp and the anti-commutator pq + qp are characterized, where p, q are projections in R.


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