The Determinants over Associative Rings: a Definition, Properties, New Formulas and a Computational Complexity

Егорычев, Г. П.; Егорычев, Георгий Петрович

doi:10.17516/1997-1397-2016-9-4-443-448

J. Sib. Fed. Univ., Math. phys.

2016

DOI: 10.17516/1997-1397-2016-9-4-443-448

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The Determinants over Associative Rings: a Definition, Properties, New Formulas and a Computational Complexity

Г. П. Егорычев¹,

Георгий Петрович Егорычев²

Abstract: We give a new definition for the determinants over an associative ring Q and study their properties. In particular, we obtain a new family of polynomial identities (computational formulas) for these determinants that contain up to n! free variables.

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The Determinants over Associative Rings: a Definition, Properties, New Formulas and a Computational Complexity

Abstract: We give a new definition for the determinants over an associative ring Q and study their properties. In particular, we obtain a new family of polynomial identities (computational formulas) for these determinants that contain up to n! free variables.

Cited by 0 publications

References 5 publications

No citations

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