On Zero Left Prime Factorizations for Matrices over Unique Factorization Domains

On Zero Left Prime Factorizations for Matrices over Unique Factorization Domains

In this paper, zero prime factorizations for matrices over a unique factorization domain are studied. We prove that zero prime factorizations for a class of matrices exist. Also, we give an algorithm to directly compute zero left prime factorizations for this class of matrices.

Bibliographic Details
Main Authors: Jinwang Liu, Tao Wu, Dongmei Li, Jiancheng Guan
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/1684893
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spelling doaj-2a5968fa42ca42a5b811d277acfb6e562020-11-25T02:12:53ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/16848931684893On Zero Left Prime Factorizations for Matrices over Unique Factorization DomainsJinwang Liu0Tao Wu1Dongmei Li2Jiancheng Guan3School of Mathematics and Computing Science, Hunan University of Science and Technology, Xiangtan, Hunan 410081, ChinaSchool of Mathematics and Computing Science, Hunan University of Science and Technology, Xiangtan, Hunan 410081, ChinaSchool of Mathematics and Computing Science, Hunan University of Science and Technology, Xiangtan, Hunan 410081, ChinaSchool of Mathematics and Computing Science, Hunan University of Science and Technology, Xiangtan, Hunan 410081, ChinaIn this paper, zero prime factorizations for matrices over a unique factorization domain are studied. We prove that zero prime factorizations for a class of matrices exist. Also, we give an algorithm to directly compute zero left prime factorizations for this class of matrices.http://dx.doi.org/10.1155/2020/1684893
collection DOAJ
language English
format Article
sources DOAJ
author Jinwang Liu
Tao Wu
Dongmei Li
Jiancheng Guan
spellingShingle Jinwang Liu
Tao Wu
Dongmei Li
Jiancheng Guan
On Zero Left Prime Factorizations for Matrices over Unique Factorization Domains
Mathematical Problems in Engineering
author_facet Jinwang Liu
Tao Wu
Dongmei Li
Jiancheng Guan
author_sort Jinwang Liu
title On Zero Left Prime Factorizations for Matrices over Unique Factorization Domains
title_short On Zero Left Prime Factorizations for Matrices over Unique Factorization Domains
title_full On Zero Left Prime Factorizations for Matrices over Unique Factorization Domains
title_fullStr On Zero Left Prime Factorizations for Matrices over Unique Factorization Domains
title_full_unstemmed On Zero Left Prime Factorizations for Matrices over Unique Factorization Domains
title_sort on zero left prime factorizations for matrices over unique factorization domains
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description In this paper, zero prime factorizations for matrices over a unique factorization domain are studied. We prove that zero prime factorizations for a class of matrices exist. Also, we give an algorithm to directly compute zero left prime factorizations for this class of matrices.
url http://dx.doi.org/10.1155/2020/1684893
work_keys_str_mv AT jinwangliu onzeroleftprimefactorizationsformatricesoveruniquefactorizationdomains
AT taowu onzeroleftprimefactorizationsformatricesoveruniquefactorizationdomains
AT dongmeili onzeroleftprimefactorizationsformatricesoveruniquefactorizationdomains
AT jianchengguan onzeroleftprimefactorizationsformatricesoveruniquefactorizationdomains
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