กรุปอินเวอร์สของเมทริกซ์ขนาด 3x3 เหนือริง: The Group Inverse of Matrices Over a Ring

Wiwat Wanicharpichat; Natkodchanan Khambunlue

กรุปอินเวอร์สของเมทริกซ์ขนาด 3x3 เหนือริง

The Group Inverse of Matrices Over a Ring

Authors

Wiwat Wanicharpichat Research Institute for Academic Excellence in Mathematics Department of Mathematics Faculty of Science Naresuan University, Mueang District, Phitsanulok Province 65000
Natkodchanan Khambunlue Department of Mathematics Faculty of Science Naresuan University, Mueang District, Phitsanulok Province 65000

Keywords:

von Neumann regularity, {1,2} -inverse, Group inverse, Matrix over a ring

Abstract

In this paper, we study conditions for the existence of the group inverse of the 3x 3 matrix over an arbitrary ring R with unity 1, when is the submatrix of N has the group inverse in R 2x2