Algebraic conditions for the solvability of system of three linear equations in a ring

被引：0
|
作者：
Milosevic, Jovana [1 ]
机构：
[1] Univ Nis, Fac Sci & Math, Dept Math, Nish, Serbia
来源：
LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 04期
关键词：
System of three linear equations; equations over ring; inner inverse; MATRIX EQUATION; REFLEXIVE SOLUTIONS; DEFINITE SOLUTIONS; COMMON SOLUTIONS; AXB; PAIR;
D O I：
10.1080/03081087.2020.1743634
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give algebraic conditions for the existence of a solution and the expression for the general solution of the system of the equations a(1)xb(1) = c(1), a(2)xb(2) = c(2), a(3)xb(3) = c(3), when each element belongs to a ring with a unit. As an application, we get necessary and sufficient conditions for the existence of common inner inverse of three regular elements.
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收藏
页码：672 / 688
页数：17
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