Classification of finite potent endomorphisms

Pablos Romo, Fernando

doi:10.1016/j.laa.2013.10.049

Título

Classification of finite potent endomorphisms

Autor(es)

Pablos Romo, Fernando

Palabras clave

Finite potent endomorphism

Invariant

Trace

Determinant

Clasificación UNESCO

12 Matemáticas

Fecha de publicación

2014-01-01

Editor

Elsevier

Citación

Fernando Pablos Romo, Classification of finite potent endomorphisms, Linear Algebra and its Applications, Volume 440, 2014, Pages 266-277, ISSN 0024-3795, https://doi.org/10.1016/j.laa.2013.10.049. (https://www.sciencedirect.com/science/article/pii/S0024379513006848)

Resumen

[EN]The aim of this work is to offer a family of invariants that allows us to classify finite potent endomorphisms on arbitrary vector spaces, generalizing the classification of endomorphisms on finite-dimensional vector spaces. As a particular case we classify nilpotent endomorphisms on infinite-dimensional vector spaces.

URI

https://hdl.handle.net/10366/164046

ISSN

0024-3795

DOI

10.1016/j.laa.2013.10.049

Versión del editor

https://doi.org/10.1016/j.laa.2013.10.049

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