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Quasideterminants

I. Gelfand·S. Gelfand·V. Retakh·R. Wilson
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Abstract

The determinant is a main organizing tool in commutative linear algebra. In this review we present a theory of the quasideterminants defined for matrices over a division algebra. We believe that the notion of quasideterminants should be one of main organizing tools in noncommutative algebra giving them the same role determinants play in commutative algebra.

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BibTeXRIS

I. Gelfand, S. Gelfand, V. Retakh, R. Wilson. 2004-08-06. Quasideterminants. https://arxiv.org/abs/math/0208146

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