대한수학회지 (Journal of the Korean Mathematical Society)
- 제32권4호
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- Pages.849-856
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- 1995
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
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 )
- 발행 : 1995.11.01
초록
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.