Semiring rank versus column rank
For matrices over a semiring (Schein) rank, row rank, and column rank can all be different. The authors compute the largest rank, such that for all matrices of at most that rank, rank, row rank, and column rank are all equal for specified matrix sizes for many semirings including Boolean, fuzzy, \(Q^+\), \(Z^+\).
scientific article; zbMATH DE number 4045924