On matrices with different tropical and Kapranov ranks

DOI10.1134/S0001434612070310zbMath1261.15006MaRDI QIDQ1938658

Yaroslav N. Shitov

Publication date: 22 February 2013

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

zbMATH Keywords

tropical semiringKapranov ranktropical ranktropical linear algebra

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Semirings (16Y60) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• The \(4\times 4\) minors of a \(5\times n\) matrix are a tropical basis
• Linear independence over tropical semirings and beyond
• RANK INEQUALITIES OVER SEMIRINGS
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