Polynomial matrices over a factorial domain and their factorization with given characteristic polynomials

We establish conditions for the existence of a unital divisor with given characteristic polynomial of a polynomial matrix over a factorial domain.

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Bibliographic Details
Date:1998
Main Authors: Prokip, V. M., Прокіп, В. М.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1998
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4831
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Prokip, V. M.
Прокіп, В. М.
author_facet Prokip, V. M.
Прокіп, В. М.
author_sort Prokip, V. M.
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datestamp_date 2020-03-18T21:15:12Z
description We establish conditions for the existence of a unital divisor with given characteristic polynomial of a polynomial matrix over a factorial domain.
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spelling umjimathkievua-article-48312020-03-18T21:15:12Z Polynomial matrices over a factorial domain and their factorization with given characteristic polynomials Многочленні матриці над факторіальною обласно та їх розкладність на множники із заданими характеристичними многочленами Prokip, V. M. Прокіп, В. М. We establish conditions for the existence of a unital divisor with given characteristic polynomial of a polynomial matrix over a factorial domain. Встановлено умови існування унікального дільника із заданим характеристичним многочленом многочленної матриці над факторіальною областю. Institute of Mathematics, NAS of Ukraine 1998-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4831 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 10 (1998); 1438–1440 Український математичний журнал; Том 50 № 10 (1998); 1438–1440 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4831/6361 https://umj.imath.kiev.ua/index.php/umj/article/view/4831/6362 Copyright (c) 1998 Prokip V. M.
spellingShingle Prokip, V. M.
Прокіп, В. М.
Polynomial matrices over a factorial domain and their factorization with given characteristic polynomials
title Polynomial matrices over a factorial domain and their factorization with given characteristic polynomials
title_alt Многочленні матриці над факторіальною обласно та їх розкладність на множники із заданими характеристичними многочленами
title_full Polynomial matrices over a factorial domain and their factorization with given characteristic polynomials
title_fullStr Polynomial matrices over a factorial domain and their factorization with given characteristic polynomials
title_full_unstemmed Polynomial matrices over a factorial domain and their factorization with given characteristic polynomials
title_short Polynomial matrices over a factorial domain and their factorization with given characteristic polynomials
title_sort polynomial matrices over a factorial domain and their factorization with given characteristic polynomials
url https://umj.imath.kiev.ua/index.php/umj/article/view/4831
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