Affiliation:
1. School of Mathematics, Hefei University of Technology, Hefei, China
Abstract
Let R be a unital *-ring and let a, b,w ? R. In this paper, we give some new
characterizations on w-core inverses in R. In particular, it is shown that a
is w-core invertible if and only if it is w(aw)n?1- core invertible for any
positive integer n, in which case, the representations of the w-core inverse
and the w(aw)n?1-core inverse of a are both presented. We further
characterize w-core inverses by Hermitian elements (or projections) and
units.
Publisher
National Library of Serbia
Reference28 articles.
1. O.M. Baksalary, G. Trenkler, Core inverse of matrices, Linear Multilinear Algebra 58 (2010) 681-697.
2. A. Ben-Israel, T.N.E. Greville, Generalized Inverses : Theory and Applications, (2nd edition), Springer, New York 2003.
3. J. Benítez, E. Boasso, The inverse along an element in rings, Electron. J. Linear Algebra 31 (2016) 572-592.
4. J. Benítez, E. Boasso, The inverse along an element in rings with an involution, Banach algebras andC*-algebras, Linear Multilinear Algebra 65 (2017) 284-299.
5. J.L. Chen, H.H. Zhu, P. Patrício, Y.L. Zhang, Characterizations and representations of core and dual core inverses, Can. Math. Bull. 60 (2017) 269-282.
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献