On the idempotent and nilpotent sum numbers of matrices over certain indecomposable rings and related concepts

We investigate a few special decompositions in arbitrary rings and matrix rings over indecomposable rings into nilpotent and idempotent elements. Moreover, we also define and study the nilpotent sum trace number of nilpotent matrices over an arbitrary ring. Some related notions are explored as well.

Bibliographic Details

Published in:	Математичні Студії
Main Author:	P.V. Danchev
Format:	Article
Language:	German
Published:	Ivan Franko National University of Lviv 2021-03-01
Subjects:	idempotents; nilpotents; commutators; traces; matrices.
Online Access:	http://matstud.org.ua/ojs/index.php/matstud/article/view/123