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arXiv · 1205.6891

On permanents of matrices over a commutative additively idempotent semiring

Yan Huang·Haifeng Lian
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Abstract

Let $R$ be a commutative additively idempotent semiring. In this paper, some properties and characterizations for permanents of matrices over $R$ are established, and several inequalities for permanents are given. Also, the adjiont matrices of matriecs over $R$ are considered. Partial results obtained in this paper generalize the corresponding ones on fuzzy matrices, on lattice matrices and on incline matrices.

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Yan Huang, Haifeng Lian. 2012-05-31. On permanents of matrices over a commutative additively idempotent semiring. https://arxiv.org/abs/1205.6891

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