Theory of paradeterminants and its applications

We consider elements of linear algebra based on triangular tables with entries in some number field and their functions, analogical to the classical notions of a matrix, determinant and permanent. Some properties are investigated and applications in various areas of mathematics are given.

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Bibliographic Details
Date:2018
Main Author: Zatorsky, Roman A.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/838
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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author Zatorsky, Roman A.
author_facet Zatorsky, Roman A.
author_sort Zatorsky, Roman A.
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datestamp_date 2018-03-21T11:52:32Z
description We consider elements of linear algebra based on triangular tables with entries in some number field and their functions, analogical to the classical notions of a matrix, determinant and permanent. Some properties are investigated and applications in various areas of mathematics are given.
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institution Algebra and Discrete Mathematics
language English
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publisher Lugansk National Taras Shevchenko University
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spelling admjournalluguniveduua-article-8382018-03-21T11:52:32Z Theory of paradeterminants and its applications Zatorsky, Roman A. paradeterminant, parapermanent, triangular matrix 15A15 We consider elements of linear algebra based on triangular tables with entries in some number field and their functions, analogical to the classical notions of a matrix, determinant and permanent. Some properties are investigated and applications in various areas of mathematics are given. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/838 Algebra and Discrete Mathematics; Vol 6, No 1 (2007) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/838/369 Copyright (c) 2018 Algebra and Discrete Mathematics
spellingShingle paradeterminant
parapermanent
triangular matrix
15A15
Zatorsky, Roman A.
Theory of paradeterminants and its applications
title Theory of paradeterminants and its applications
title_full Theory of paradeterminants and its applications
title_fullStr Theory of paradeterminants and its applications
title_full_unstemmed Theory of paradeterminants and its applications
title_short Theory of paradeterminants and its applications
title_sort theory of paradeterminants and its applications
topic paradeterminant
parapermanent
triangular matrix
15A15
topic_facet paradeterminant
parapermanent
triangular matrix
15A15
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/838
work_keys_str_mv AT zatorskyromana theoryofparadeterminantsanditsapplications