Affiliation:
1. Departamento de Matemáticas, Universidad de Salamanca, Salamanca, España
Abstract
The aim of this work is to offer a definition of the sharp partial order for
the set of Core-Nilpotent endomorphisms. The main properties of this partial
order are studied, generalizing the notion of sharp partial order of finite
square matrices. In order to do so, the structure of the set of
{g}-commuting inverses of a Core-Nilpotent endomorphism is described, and in
particular, the structure of the set of {g}-commuting inverses of finite
square matrices with entries in an arbitrary field is determined and an
algorithm for its computation is provided.
Publisher
National Library of Serbia
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