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Algebra and Discrete Mathematics, 2007, Issue 1, Pages 108–137 (Mi adm201)  

This article is cited in 7 scientific papers (total in 7 papers)

RESEARCH ARTICLE

Theory of paradeterminants and its applications

Roman A. Zatorsky

Precarpathian University, 57 Shevchenko Str., Ivano-Frankivsk, Ukraine
Full-text PDF (312 kB) Citations (7)
Abstract: 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.
Keywords: paradeterminant, parapermanent, triangular matrix.
Received: 15.03.2007
Revised: 24.05.2007
Bibliographic databases:
Document Type: Article
MSC: 15A15
Language: English
Citation: Roman A. Zatorsky, “Theory of paradeterminants and its applications”, Algebra Discrete Math., 2007, no. 1, 108–137
Citation in format AMSBIB
\Bibitem{Zat07}
\by Roman~A.~Zatorsky
\paper Theory of paradeterminants and its applications
\jour Algebra Discrete Math.
\yr 2007
\issue 1
\pages 108--137
\mathnet{http://mi.mathnet.ru/adm201}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2367518}
\zmath{https://zbmath.org/?q=an:1164.15313}
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  • https://www.mathnet.ru/eng/adm201
  • https://www.mathnet.ru/eng/adm/y2007/i1/p108
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Algebra and Discrete Mathematics
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    Full-text PDF :100
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