Linear preservers of extremes of rank inequalities over semirings: Row and column ranks

DOI10.1016/j.laa.2005.03.024zbMath1089.15002OpenAlexW1998182115WikidataQ57702693 ScholiaQ57702693MaRDI QIDQ819149

Seok-Zun Song, Alexander E. Guterman, Leroy B. Beasley, Jun, Young Bae

Publication date: 22 March 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2005.03.024

zbMATH Keywords

Rank inequalitySemiringColumn rankLinear preserverRow rank

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Miscellaneous inequalities involving matrices (15A45) Linear transformations, semilinear transformations (15A04) Semirings (16Y60) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (3)

Matrix Invariants over Semirings ⋮ Finite Automata as Time-Inv Linear Systems Observability, Reachability and More ⋮ Preserving regular tournaments and term rank-1

Cites Work

• Spanning column ranks and their preservers of nonnegative matrices
• Semiring rank versus column rank
• Linear operators that preserve pairs of matrices which satisfy extreme rank properties
• Upper and lower bounds for ranks of matrix expressions using generalized inverses
• Linear preservers of extremes of rank inequalities over semirings: the factor rank
• Linear preservers for Sylvester and Frobenius bounds on matrix rank
• Rank equalities related to outer inverses of matrices and applications
• Chapter 9: miscellaneous preserver problems
• 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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