Standard Bases of a Vector Space Over a Linearly Ordered Incline

DOI10.1080/00927871003738915zbMath1231.15001OpenAlexW2094619053MaRDI QIDQ2995345

Jun-Sheng Duan, Li Xu, Ai-Ping Guo, Wenguang Tang, Fenxia Zhao

Publication date: 20 April 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927871003738915

zbMATH Keywords

algorithmbasisstandard basiscolumn spaceinclinevector space over an incline

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Semirings (16Y60) Ordered rings, algebras, modules (06F25) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (2)

Preservers of completely positive matrix rank for inclines ⋮ The DJL Conjecture for CP Matrices over Special Inclines

Cites Work

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• Linear independence in bottleneck algebras
• Resolution of finite fuzzy relation equations
• Semiring rank versus column rank
• Generalized fuzzy matrices
• Minimax algebra
• Inclines and incline matrices: A survey.
• Indices and periods of incline matrices
• The transitive closure, convergence of powers and adjoint of generalized fuzzy matrices
• Bases in max-algebra
• Invertible incline matrices and Cramer's rule over inclines
• Standard eigenvectors of incline matrices
• Resolution of composite fuzzy relation equations

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