Open AccessThe pseudo core inverses of differences and products of projections in rings with involution
Author(s) -
Xiaofeng Chen,
Jianlong Chen,
Yukun Zhou
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2101181c
Subject(s) - mathematics , involution (esoterism) , unital , commutator , pure mathematics , combinatorics , algebra over a field , lie conformal algebra , politics , political science , law
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.