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

V. A. Bovdi; V. P. Shchedryk

doi:10.2989/16073606.2022.2112629

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

V. A. Bovdi
, V. P. Shchedryk

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We continue our previous investigation of the Zelisko group of a matrix over Bézout domains. The explicit form of elements of this group over homomorphic image of Bézout domain of stable rank 1.5 is described.

Original language	English
Pages (from-to)	1789-1798
Number of pages	10
Journal	Quaestiones Mathematicae
Volume	46
Issue number	9
DOIs	https://doi.org/10.2989/16073606.2022.2112629
Publication status	Published - 2023

Keywords

Linear equation
Zelisko group
commutative Bézout domain
stable range

ASJC Scopus subject areas

Mathematics (miscellaneous)

Access to Document

10.2989/16073606.2022.2112629

Cite this

@article{094efa938ad34820b4f25e8a8196653c,

title = "Generating solutions of a linear equation and structure of elements of the Zelisko group II",

abstract = "We continue our previous investigation of the Zelisko group of a matrix over B{\'e}zout domains. The explicit form of elements of this group over homomorphic image of B{\'e}zout domain of stable rank 1.5 is described.",

keywords = "Linear equation, Zelisko group, commutative B{\'e}zout domain, stable range",

author = "Bovdi, \{V. A.\} and Shchedryk, \{V. P.\}",

note = "Publisher Copyright: {\textcopyright} 2023 NISC (Pty) Ltd.",

year = "2023",

doi = "10.2989/16073606.2022.2112629",

language = "English",

volume = "46",

pages = "1789--1798",

journal = "Quaestiones Mathematicae",

issn = "1607-3606",

publisher = "Taylor and Francis Ltd.",

number = "9",

}

TY - JOUR

T1 - Generating solutions of a linear equation and structure of elements of the Zelisko group II

AU - Bovdi, V. A.

AU - Shchedryk, V. P.

PY - 2023

Y1 - 2023

N2 - We continue our previous investigation of the Zelisko group of a matrix over Bézout domains. The explicit form of elements of this group over homomorphic image of Bézout domain of stable rank 1.5 is described.

AB - We continue our previous investigation of the Zelisko group of a matrix over Bézout domains. The explicit form of elements of this group over homomorphic image of Bézout domain of stable rank 1.5 is described.

KW - Linear equation

KW - Zelisko group

KW - commutative Bézout domain

KW - stable range

UR - https://www.scopus.com/pages/publications/85137748862

UR - https://www.scopus.com/pages/publications/85137748862#tab=citedBy

U2 - 10.2989/16073606.2022.2112629

DO - 10.2989/16073606.2022.2112629

M3 - Article

AN - SCOPUS:85137748862

SN - 1607-3606

VL - 46

SP - 1789

EP - 1798

JO - Quaestiones Mathematicae

JF - Quaestiones Mathematicae

IS - 9

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this