Generating solutions of a linear equation and structure of elements of the Zelisko group

被引：2

作者：

Bovdi, V. A. ^{[1
]}

Shchedryk, V. P. ^{[2
]}

机构：

[1] United Arab Emirates Univ, Al Ain, U Arab Emirates

[2] Natl Acad Sci Ukraine, Pidstryhach Inst Appl Problems Mech & Math, Lvov, Ukraine

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2021年 / 625卷

关键词：

Linear equation; Commutative Bezout domain; Stable range; Zelisko group; STABLE RANGE; BEZOUT RINGS; MATRICES;

D O I：

10.1016/j.laa.2021.04.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Solutions of a linear equation b = ax in a homomorphic image of a commutative Bezout domain of stable range 1.5 are developed. It is proved that the set of solutions of a solvable linear equation contains at least one solution that divides the rest, which is called a generating solution. Generating solutions are pairwise associates. Using this result, the structure of elements of the Zelisko group is investigated. (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：55 / 67

页数：13

共 16 条

[1] Stable range and almost stable range [J].