Moore–Penrose-invertible normal and Hermitian elements in rings

In this paper we present several new characterizations of normal and Hermitian elements in rings with involution in purely algebraic terms, and considerably simplify proofs of already existing characterizations.

Saved in:
Bibliographic Details
Published in:Linear algebra and its applications 2009-08, Vol.431 (5), p.732-745
Main Authors: MOSIC, Dijana, DJORDJEVIC, Dragan S
Format: Article
Language:English
Subjects:
Algebra
Associative rings and algebras
Exact sciences and technology
Group inverse
Hermitian elements
Linear and multilinear algebra, matrix theory
Mathematics
Moore–Penrose inverse
Normal elements
Ring with involution
Sciences and techniques of general use
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper we present several new characterizations of normal and Hermitian elements in rings with involution in purely algebraic terms, and considerably simplify proofs of already existing characterizations.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2009.03.023