IJPAM: Volume 26, No. 2 (2006)

THE INFINITE VECTORS AND
INFINITE MATRICES OVER A FIELD

Zhang Cheng Yi$^{1, 2}$, Dang Pingan$^2$
$^1$Department of Computer Science and Mathematics
Hainan Normal University
Haikou, Hainan, 571158, P.R. CHINA
$^2$Department of Mathematics
Zhumadian Teachers' College
Zhumadian, Henan, 463000, P.R. CHINA


Abstract.The linear relations of infinite vectors over a field are discussed, some new necessary and sufficient conditions for the existence of the inverse of a row (or column) - finite infinite matrix $A$ over a field are given by the left (or right) cancellation law for multiplication of infinite matrices.

Received: November 5, 2005

AMS Subject Classification: 15A09

Key Words and Phrases: infinite vector, infinite matrix, infinite invertible matrix, cancellation law

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 26
Issue: 2