摘要
定出了一般布尔代数上方程组AX =X 的再生通解及有唯一解的充分必要条件 .同时 ,在有限布尔代数上 ,当A的每一列直交时 ,给出了AX=X 有直交解或正交解的充分必要条件 。
In this paper, we present necessary and sufficient conditions for general Boolean equation AX=X to have reproductive general solutions, or an only solution. We also show, when each column of A is orthogonal,necessary and sufficient conditions for finite Boolean equation AX=X to have orthogonal solutions or orthonormal solutions. In the meantime,we present many orthogonal solutions and orthonormal solutions.
出处
《湘潭大学自然科学学报》
CAS
CSCD
2003年第1期9-13,共5页
Natural Science Journal of Xiangtan University
基金
国家自然科学基金项目 (60 0 83 0 0 1)
