Matrix Equations in Left ResiduatedLattice-ordered Groupoids
Song-Chol Han · Mohu xitong yu shuxue · 2005
This paper studies the solution sets of matrix equations AX=Band the set M_n(L)of all n×n matrices in lrl-groupoids L. All results stated by Di Nola Lettieri [3] over left residuated complete lattices are generalized to the setting of lrl-groupoids. It is proved that M_n(L)forms an lrl-groupoid if Lis an lrl-groupoid. The main results of Cheng [1] in residue semislopes are pointed out being faulty.