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Song, Seok-Zun; Park, Kwon-Ryong

Extreme preservers of maximal column rank inequalities of matrix sums over semirings. (English) Zbl 1174.15001

Czech. Math. J. 58, No. 3, 693-703 (2008).
Summary: We characterize linear operators that preserve sets of matrix ordered pairs which satisfy extreme properties with respect to maximal column rank inequalities of matrix sums over semirings.

Cited in 1 Document

MSC:

15A04 Linear transformations, semilinear transformations
15A03 Vector spaces, linear dependence, rank, lineability
15A45 Miscellaneous inequalities involving matrices
16S50 Endomorphism rings; matrix rings

Keywords:

linear operator; rank inequality; maximal column rank; matrix sums; matrix ordered pairs
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\textit{S.-Z. Song} and \textit{K.-R. Park}, Czech. Math. J. 58, No. 3, 693--703 (2008; Zbl 1174.15001)
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References:

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