Spanning column rank 1 spaces of nonnegative matrices

  • Song, Seok-Zun (Department of Mathematics Cheju National University ) ;
  • Cheong, Gi-Sang (Department of Mathematics Dae Jin University ) ;
  • Lee, Gwang-Yeon (Department of Mathematics Hanseo University )
  • Published : 1995.11.01

Abstract

There are some papers on structure theorems for the spaces of matrices over certain semirings. Beasley, Gregory and Pullman [1] obtained characterizations of semiring rank 1 matrices over certain semirings of the nonnegative reals. Beasley and Pullman [2] also obtained the structure theorems of Boolean rank 1 spaces. Since the semiring rank of a matrix differs from the column rank of it in general, we consider a structure theorem for semiring rank in [1] in view of column rank.

Keywords

Spanning column rank;spanning column rank 1 space