Frobenius and Dieudonné theorems over semirings

DOI10.1080/03081080500361256zbMath1110.15004OpenAlexW1967098584WikidataQ57702669 ScholiaQ57702669MaRDI QIDQ3422756

Sang-Gu Lee, Seok-Zun Song, Leroy B. Beasley, Alexander E. Guterman

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1080/03081080500361256

zbMATH Keywords

linear transformationsingularitydeterminantsemiringsbideterminantcommutative antinegative semiringnon-singularity preserverssingularity preservers

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear transformations, semilinear transformations (15A04) Semirings (16Y60)

Related Items (3)

The Whitney embedding theorem for tropical torsion modules. Classification of tropical modules ⋮ Matrix Invariants over Semirings ⋮ Preserving regular tournaments and term rank-1

Cites Work

• Inversion of matrices over a commutative semiring
• Linear preserver problems: A brief introduction and some special techniques
• Matrices over semirings
• Real algebraic curves, the moment map and amoebas
• Sur une généralisation du groupe orthogonal à quatre variables
• Linear Preserver Problems
• Note on a simple type of algebra in which the cancellation law of addition does not hold
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