【摘要】 本文研究了在分配格上强传递矩阵、Sz-传递矩阵、k-强传递矩阵、k-传递矩阵及特强传递矩阵的性质问题.利用特殊代数格的定义,获得了如下的关系性质,如强传递矩阵与Sz-传递矩阵的关系、强传递矩阵与k-强传递矩阵的关系、传递矩阵和k-传递矩阵的关系及传递矩阵和特强传递矩阵的关系,并得到Sz-传递矩阵和特强传递矩阵的幂的收敛性质.本文推广了格矩阵传递性的研究内容.更多还原

【Abstract】 In this paper, some properties of the following four matrices, including strongly transitive matrices(STM), Sz-transitive matrices(SzTM), strongly k-transitive matrices(SKTM), k-transitive matrices(KTM) and extremly strong transitive matrix(EXSTM) are studied over distributive lattices. By the definition of special algebraic lattice, the relations between two matrices are obtained, such as the relation between STM and SzTM, the relation between STM and SKTM, the relation between transitive matrices(TM) and SKTM, the relation between TM and EXSTM. In addition, the convergence for powers of SzTM and EXSTM are proposed. Moreover, this paper aims at develop research on transitivity of lattice matrices.更多还原