Bijective linear rank preservers for spaces of matrices over antinegative semirings

DOI10.1016/j.laa.2010.06.018zbMath1220.15018OpenAlexW1971891108WikidataQ114152397 ScholiaQ114152397MaRDI QIDQ550668

Rajesh Pereira

Publication date: 13 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.06.018

zbMATH Keywords

spaces of matricestropical ranksymmetric rankmax-plus semiringantinegative commutative semiringsfactor rankGondran-Minoux column rankGondran-Minoux row ranklinear rank preservers

Mathematics Subject Classification ID

Semirings (16Y60) Vector spaces, linear dependence, rank, lineability (15A03) Max-plus and related algebras (15A80) Linear preserver problems (15A86)

Related Items (3)

On the Jacobson radical of an \((m,n)\)-semiring. ⋮ Tan's epsilon-determinant and ranks of matrices over semirings ⋮ Factor rank preservers of matrices over additively-idempotent multiplicatively-cancellative semirings

Cites Work

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• Invertible and nilpotent matrices over antirings
• Invertible matrices over distributive lattices
• Term-rank, permanent, and rook-polynomial preservers
• Matrices with different Gondran-Minoux and determinantal ranks over MAX-algebras
• Linear independence over tropical semirings and beyond
• Chapter 9: miscellaneous preserver problems
• RANK INEQUALITIES OVER SEMIRINGS

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