Abstract
In this paper, we present many new characterizations of strongly EP elements in rings with involution. We especially investigate the strongly EP elements by constructing certain equations and considering the solutions of equations, revealing the existence of solutions of certain equations and the general solutions of some binary equations that play a role in characterizing strongly EP elements. Proofs of relevant conclusions are also given.
Publisher
The International Electronic Journal of Algebra
Subject
Algebra and Number Theory
Reference17 articles.
1. A. Ben-Israel and T. N. E. Greville , Generalized Inverses: Theory and Applications, CMS Books in Mathematics, 2nd edition, Springer, Heidelberg, 2003.
2. E. Boasso and V. Rakocevic, Characterizations of EP and normal Banach algebra elements, Linear Algebra Appl., 435(2) (2011), 342-353.
3. W. Chen, On EP elements, normal elements and partial isometries in rings with involution, Electron. J. Linear Algebra, 23 (2012), 553-561.
4. A. Dajic, Common solutions of linear equations in a ring, with applications, Electron. J. Linear Algebra, 30 (2015), 66-79.
5. A. Dajic and J. J. Koliha, Equations $ax=c$ and $xb=d$ in rings and rings with involution with applications to Hilbert space operators, Linear Algebra Appl., 429(7) (2008), 1779-1809.
Cited by
1 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