This article is cited in 7 papers

RESEARCH ARTICLE

Theory of paradeterminants and its applications

Roman A. Zatorsky

Precarpathian University, 57 Shevchenko Str., Ivano-Frankivsk, Ukraine

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.

MSC: 15A15

Received: 15.03.2007
Revised: 24.05.2007

Language: English

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