Extreme preservers of maximal column rank inequalities of matrix sums over semirings

DOI10.1007/s10587-008-0044-5zbMath1174.15001OpenAlexW2027732215WikidataQ57702642 ScholiaQ57702642MaRDI QIDQ3624911

Seok-Zun Song, Kwon Park

Publication date: 6 May 2009

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/37861

zbMATH Keywords

linear operatormatrix sumsrank inequalitymaximal column rankmatrix ordered pairs

Mathematics Subject Classification ID

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

Related Items (1)

On nilpotency of matrices over antirings

Cites Work

• Semiring rank versus column rank
• Linear operators that preserve pairs of matrices which satisfy extreme rank properties
• Linear preservers of extremes of rank inequalities over semirings: the factor rank
• Linear preservers for Sylvester and Frobenius bounds on matrix rank
• Chapter 9: miscellaneous preserver problems
• Linear operators that preserve maximal column ranks of nonnegative integer matrices
• RANK INEQUALITIES OVER SEMIRINGS
• When Does Rank(A+B)=Rank(A)+Rank(B)?
• Linear preservers for matrix inequalities and partial orderings

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