2014•Mohu xitong yu shuxueRequires access

On Permanents of Matrices over a Commutative Additively Idempotent semiring

Ya Huang

Abstract

This paper investigates matrices and the adjoint matrices over commutative additively idempotent semiring.Some properties for permanents of these matrices are established.Also,two equations for permanents of the adjoint matrices are given.Partial results obtained in this paper generalize the corresponding ones on fuzzy matrices,on lattice matrices and on incline matrices.

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Key concepts: Semiring, Mathematics, Idempotence, Idempotent matrix, Commutative property, Pure mathematics, Fuzzy logic, Algebra over a field