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On permanents of matrices over a commutative additively idempotent semiring

Rings and Algebras 2019-08-19 v1

Abstract

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

Keywords

Cite

@article{arxiv.1205.6891,
  title  = {On permanents of matrices over a commutative additively idempotent semiring},
  author = {Yan Huang and Haifeng Lian},
  journal= {arXiv preprint arXiv:1205.6891},
  year   = {2019}
}

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11 pages