Preservers of term ranks of symmetric matrices

DOI10.1016/j.laa.2011.06.018zbMath1245.15027OpenAlexW2072475308WikidataQ57702586 ScholiaQ57702586MaRDI QIDQ765182

Kyung-Tae Kang, Seok-Zun Song, Leroy B. Beasley

Publication date: 19 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.06.018

zbMATH Keywords

symmetric matriceslinear operatorssemiringsterm ranklinear preserves

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Hermitian, skew-Hermitian, and related matrices (15B57) Semirings (16Y60) Vector spaces, linear dependence, rank, lineability (15A03) Linear preserver problems (15A86)

Related Items (6)

A comparison of term ranks of symmetric matrices and their preservers ⋮ Zero-term rank and zero-star cover number of symmetric matrices and their linear preservers ⋮ Primitive symmetric matrices and their preservers ⋮ Semimodules and preservers of traceless symmetric Boolean matrices of factor rank two ⋮ Term rank preservers of bisymmetric matrices over semirings ⋮ Preservers of term ranks and star cover numbers of symmetric matrices

Cites Work

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• Preserving regular tournaments and term rank-1
• Term-rank, permanent, and rook-polynomial preservers
• Linear preservers of term ranks of matrices over semirings

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