福州大学学报（自然科学版）2013，Vol.41Issue(2)：127-131,5.DOI:10.7631/issn.1000-2243.2013.02.0127
关于差序半环上矩阵的积和式
On permanents of matrices over difference ordered semirings
摘要
Abstract
In this paper, permanents of the matrices over a difference ordered semiring are discussed. Some inequalities of permanents and adjoint matrices of the matrices are given, and it is proved that (per(A) )n≤per(A adj(A)) ≤n! (n! per(A))n for any matrix A of order n over a difference ordered semiring, where per(A)and adj(A) denote the permanent and the adjoint matrix of A, respectively.关键词
差序半环/矩阵/积和式/伴随矩阵Key words
difference ordered semiring/ matrix/ permanent/ adjoint matrix分类
数理科学引用本文复制引用
宁丽丽,谭宜家..关于差序半环上矩阵的积和式[J].福州大学学报（自然科学版）,2013,41(2):127-131,5.基金项目
福建省自然科学基金资助项目(2008J0194) （2008J0194）
