On the permanent of multidimensional matrices-Reference-Cited by-同舟云学术

On the permanent of multidimensional matrices

Published:2024-08-07 Issue:5 Volume:0 Page:11-15
ISSN:1994-5655
Container-title:Proceedings of the Komi Science Centre of the Ural Division of the Russian Academy of Sciences
language:en
Short-container-title:

Author:

Efimov D.B.¹

Affiliation:

1. Institute of Physics and Mathematics, Federal Research Centre Komi Science Centre, Ural Branch, RAS

Abstract

The permanent of multidimensional matrices is expressed in terms of operations on elements of commutative algebra with nilpotent index 2 generators. Using a technique based on this relationship, several properties of the permanent have been proved. Various types of multidimensional permutations are considered. The permanent of multidimensional matrices is considered from the point of view of the enumeration function of multidimensional permutations.

Publisher

Komi SC UB RAS

Reference6 articles.

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