Invertible Matrices over Distributive Pseudo-lattices
Zhang Guo-yong · Gongcheng shuxue xuebao · 2009
A complete description of the invertible matrices over a distributive pseudo-lattice is given, some necessary and sufficient conditions for a matrix over a distributive pseudo-lattices to be invertible are obtained. Moreover, it is proved that a matrix is invertible if and only if it is a permutation matrix over an integral distributive pseudo-lattice. These results can be regarded as generalizations of the previous results on the invertible matrices over distributive lattices and commutative inclines.