Generalized inverses of an invertible infinite matrix over a finite field

In this paper we show that, contrary to finite matrices with entries taken from finite field, an invertible infinite matrix could have generalized inverses that are different from classical inverses.

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Bibliographic Details
Published in:Linear algebra and its applications 2006-10, Vol.418 (2), p.468-479
Main Authors: Saranya, C.R., Sivakumar, K.C.
Format: Article
Language:English
Subjects:
Algebra
Exact sciences and technology
Field theory and polynomials
Group inverse
Infinite matrices
Linear and multilinear algebra, matrix theory
Mathematics
Matrices over finite fields
Moore–Penrose inverse
Sciences and techniques of general use
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Description
Summary:In this paper we show that, contrary to finite matrices with entries taken from finite field, an invertible infinite matrix could have generalized inverses that are different from classical inverses.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2006.02.023