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

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Title:	Generating solutions of a linear equation and structure of elements of the Zelisko Group
Authors:	Victor Bovdi Volodymyr Shchedryk Bódi Viktor Бовді Віктор Щедрик Володимир
Keywords:	Linear equation;Stable range;Zelisko group;Lineáris egyenlet;Stabil tartomány;Zelisko csoport
Issue Date:	15-Sep-2021
Publisher:	Elsevier
Type:	dc.type.article
Citation:	Victor Bovdi, Volodymyr Shchedryk: Generating solutions of a linear equation and structure of elements of the Zelisko Group. In Linear Algebra and its Applications. 2021. Volume 625. pp. 55-67.
Series/Report no.:	;Volume 625.
Abstract:	Abstract. Solutions of a linear equation b=ax in a homomorphic image of a commutative Bezout domain of stable range 1.5 is 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.
Description:	https://www.sciencedirect.com/science/article/abs/pii/S002437952100183X
URI:	http://dspace.kmf.uz.ua:8080/jspui/handle/123456789/1303
ISSN:	0024-3795
metadata.dc.rights.uri:	http://creativecommons.org/licenses/by-nc-nd/3.0/us/
Appears in Collections:	Bódi Viktor

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