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A note on 2-dimensional arithmetic symbols on Gl(n, Σ).

Fernando Pablos Romo — 2007

Publicacions Matemàtiques

The aim of this note is to offer a summary of the definitions and properties of arithmetic symbols on the linear group Gl(n, F) -F being an arbitrary discrete valuation field- and to show that the natural generalizations of the Parshin symbol on an algebraic surface S to the linear group Gl(n, ΣS) do not allow us to define new 2-dimensional symbols on S. [Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la...

Explicit solutions of infinite linear systems associated with group inverse endomorphisms

Fernando Pablos Romo — 2022

Czechoslovak Mathematical Journal

The aim of this note is to offer an algorithm for studying solutions of infinite linear systems associated with group inverse endomorphisms. As particular results, we provide different properties of the group inverse and we characterize EP endomorphisms of arbitrary vector spaces from the coincidence of the group inverse and the Moore-Penrose inverse.

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