Partial orders in rings based on generalized inverses – unified theory
نویسندگان
چکیده
Article history: Received 20 August 2014 Accepted 3 January 2015 Available online xxxx Submitted by Y. Wei MSC: 06A06 15A09 16U99
منابع مشابه
Analytic Perturbation of Generalized Inverses
We investigate the analytic perturbation of generalized inverses. Firstly we analyze the analytic perturbation of the Drazin generalized inverse (also known as reduced resolvent in operator theory). Our approach is based on spectral theory of linear operators as well as on a new notion of group reduced resolvent. It allows us to treat regular and singular perturbations in a unified framework. W...
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Fredholm’s method to solve a particular integral equation in 1903, was probably the first written work on generalized inverses. In 1906, Moore formulated the generalized inverse of a matrix in an algebraic setting, which was published in 1920, and in the thirties von Neumann used generalized inverses in his studies of continuous geometries and regular rings. Kaplansky and Penrose, in 1955, inde...
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