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14 Result(s)

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  1. No Access

    Article

    Left core inverses in rings with involution

    We study the left version of core inverses in \(*\) ∗ ...

    Cang Wu, Jianlong Chen in Revista de la Real Academia de Ciencias Ex… (2022)

  2. No Access

    Article

    m-weak group inverses in a ring with involution

    In a unitary ring with involution, we prove that each element has at most one weak group inverse if and only if each idempotent element has a unique weak group inverse. Furthermore, we define the m-weak group inv...

    Yukun Zhou, Jianlong Chen, Mengmeng Zhou in Revista de la Real Academia de Ciencias Ex… (2020)

  3. No Access

    Article

    Characterizations and maximal classes of elements related to pseudo core inverses

    We present some new characterizations for the pseudo core inverse in rings with involution. Firstly, we characterize the pseudo core inverse by a unique projection. Secondly, we prove that the pseudo core inve...

    Mengmeng Zhou, Jianlong Chen in Revista de la Real Academia de Ciencias Ex… (2020)

  4. No Access

    Article

    EP Elements in Rings with Involution

    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 $...

    Sanzhang Xu, Jianlong Chen, Julio Benítez in Bulletin of the Malaysian Mathematical Sci… (2019)

  5. No Access

    Article

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

    Let R be a unital ring with involution. The core inverses of differences and products of projections in R are investigated. Let \(p, q\in R\)p,q∈R be two projections, we obtained equivalent conditions such that $...

    Tingting Li, Jianlong Chen, Dijana Mosić in Revista de la Real Academia de Ciencias Ex… (2019)

  6. No Access

    Article

    Centralizer’s applications to the (b, c)-inverses in rings

    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...

    Sanzhang Xu, Jianlong Chen, Julio Benítez… in Revista de la Real Academia de Ciencias Ex… (2019)

  7. No Access

    Article

    The pseudo core inverse of a lower triangular matrix

    The notion of core inverse was introduced by Baksalary and Trenkler for a complex matrix of index one in 2010, and then it was generalized to an arbitrary

    Yuefeng Gao, Jianlong Chen in Revista de la Real Academia de Ciencias Ex… (2019)

  8. No Access

    Article

    On Characterizations of Special Elements in Rings with Involution

    Let R be a ring with involution. It is well-known that an EP element in R is a core invertible element, but the question when a core invertible element is an EP element, the authors answer in this paper. Several ...

    Sanzhang Xu, Jianlong Chen, Dijana Mosić in Chinese Annals of Mathematics, Series B (2019)

  9. No Access

    Article

    The Core Inverse of a Product and \(2\times 2\) Matrices

    The core inverse of a complex matrix was first introduced by Baksalary and Trenkler. In 2014, Rakić extended the notion of the core inverse to the ring with involution. In this paper, equivalent conditions for...

    Yuanyuan Ke, Long Wang, Jianlong Chen in Bulletin of the Malaysian Mathematical Sci… (2019)

  10. No Access

    Article

    Characterizations and Representations of the Inverse Along an Element

    In this paper, we give new existence criteria for the inverse along an element by means of Drazin inverses, one-sided annihilator ideals, idempotents and one-sided invertibility of certain elements in semigrou...

    Honglin Zou, Jianlong Chen, Tingting Li… in Bulletin of the Malaysian Mathematical Sci… (2018)

  11. No Access

    Article

    Least-squares solutions of generalized inverse eigenvalue problem over Hermitian–Hamiltonian matrices with a submatrix constraint

    In this paper, a gradient-based iterative algorithm is proposed for finding the least-squares solutions of the following constrained generalized inverse eigenvalue problem: given

    **g Cai, Jianlong Chen in Computational and Applied Mathematics (2018)

  12. No Access

    Article

    Additive and Product Properties of Drazin Inverses of Elements in a Ring

    We study the Drazin inverses of the sum and the product of two elements in a ring. Given two Drazin invertible elements a and b such that ...

    Huihui Zhu, Jianlong Chen in Bulletin of the Malaysian Mathematical Sciences Society (2017)

  13. Article

    Open Access

    A fuzzy characterization of QF rings

    Let R be a ring. R is called a quasi-Frobenius (QF) ring if R is right artinian and R R ...

    Wenxi Li, Jianlong Chen, Liang Shen in Journal of Inequalities and Applications (2014)

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  14. No Access

    Article

    Chaotic invariant sets of a delayed discrete neural network of two non-identical neurons

    In this paper, we show that a delayed discrete Hopfield neural network of two nonidentical neurons with no self-connections can demonstrate chaotic behavior in a region away from the origin. To this end, we fi...

    YuanLong Chen, Yu Huang, **ngFu Zou in Science China Mathematics (2013)