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Browsing by Author "Xu, Sanzhang"

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Browsing by Author "Xu, Sanzhang"

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    Centralizer's applications to the (b, c)-inverses in rings 
    Xu, Sanzhang; Chen, Jianlong; Benítez López, Julio; Wang, Dingguo (Real Academia de Ciencias Exactas, Físicas y Naturales, 2019-07)
    [EN] We give several conditions in order that the absorption law for one sided (b,c)-inverses in rings holds. Also, by using centralizers, we obtain the absorption law for the (b,c)-inverse and the reverse order law of the ...
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    EP Elements in Rings with Involution 
    Xu, Sanzhang; Chen, Jianlong; Benítez López, Julio (Springer-Verlag, 2019-11)
    [EN] Let R be a unital ring with involution. We first show that the EP elements in R can be characterized by three equations. Namely, let a. R, then a is EP if and only if there exists x. R such that (xa)* = xa, xa(2) = a ...
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    Generalized core inverses of matrices 
    Xu, Sanzhang; Chen, Jianlong; Benítez López, Julio; Wang, Dingguo (Miskolc University Press, 2019)
    [EN] n this paper, we introduce two new generalized inverses of matrices, namely, the < i, m >-core inverse and the (j, m)-core inverse. The < i, m >-core inverse of a complex matrix extends the notions of the core inverse ...
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    Rank equalities related to a class of outer generalized inverse 
    Chen, Jianlong; Xu, Sanzhang; Benítez López, Julio; Chen, Xiaofeng (National Library of Serbia, 2019)
    [EN] In 2012, Drazin introduced a class of outer generalized inverse in a ring R, the (b, c)-inverse of a for a,b,c is an element of R and denoted by a(parallel to(b,c)). In this paper, rank equalities of A(k)A(parallel ...
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    Rank Equalities Related to the Generalized Inverses A(B1,C1), D(B2,C2) of Two Matrices A and D 
    Wang, Wenjie; Xu, Sanzhang; Benítez López, Julio (MDPI AG, 2019-04)
    [EN] Let A be an complex matrix. The (B,C)-inverse A vertical bar(B,C) of A was introduced by Drazin in 2012. For given matrices A and B, several rank equalities related to A vertical bar(B1,C1) and B vertical bar(B2,C2) ...