Regular D-classes of the semigroup of n x n tropical matrices

DOI10.3906/mat-1803-80zbMath1424.15054OpenAlexW2883731713MaRDI QIDQ5742748

Lin Yang

Publication date: 8 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1803-80

zbMATH Keywords

regular matrixtropical algebrabasis submatrixnonsingular idempotent matrix

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Canonical forms, reductions, classification (15A21)

Related Items

The tropical matrix groups with symmetric idempotents

Cites Work

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• Moduloïds and pseudomodules. I: Dimension theory
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• A combinatorial property for semigroups of matrices.
• Green's \(\mathcal J\)-order and the rank of tropical matrices.
• Tropical matrix duality and Green's 𝔇 relation
• Linear independence over tropical semirings and beyond
• Max-linear Systems: Theory and Algorithms