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

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dc.contributor.authorVictor Bovdien
dc.contributor.authorVolodymyr Shchedryken
dc.contributor.authorBódi Viktorhu
dc.contributor.authorБовді Вікторuk
dc.contributor.authorЩедрик Володимирuk
dc.date.accessioned2021-09-10T15:30:52Z
dc.date.available2021-09-10T15:30:52Z
dc.date.issued2021-09-15
dc.descriptionhttps://www.sciencedirect.com/science/article/abs/pii/S002437952100183Xen
dc.description.abstractAbstract. 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.en
dc.identifier.citationVictor 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.en
dc.identifier.issn0024-3795
dc.identifier.otherDOI: https://doi.org/10.1016/j.laa.2021.04.019
dc.identifier.urihttps://dspace.kme.org.ua/handle/123456789/1303
dc.language.isoenen
dc.publisherElsevieren
dc.relation.ispartofseries;Volume 625.
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectLinear equationen
dc.subjectStable rangeen
dc.subjectZelisko groupen
dc.subjectLineáris egyenlethu
dc.subjectStabil tartományhu
dc.subjectZelisko csoporthu
dc.titleGenerating solutions of a linear equation and structure of elements of the Zelisko Groupen
dc.typedc.type.articleen

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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.
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