research article
oaioai:journals.uwyo.edu:article/9163

Semirings in which the permanent of invertible matrices is multiplicative

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Publication date
23 February 2025
Publisher
International Linear Algebra Society
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    Abstract

    We show that, if 1+2xy=11+2xy=1 holds for all elements x, yx,\,y with additive inverses in a commutative semiring S\mathcal{S}, then the function of permanent is multiplicative on the matrices with multiplicative inverses over S\mathcal{S}

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    Last time updated on 19/05/2025

    This paper was published in University of Wyoming Open Journals.

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