The applications of the bideterminant of a matrix over commutative semirings

DOI10.1080/03081087.2016.1242555zbMath1373.15015OpenAlexW2529871454MaRDI QIDQ4975121

Qian-yu Shu, Xue-ping Wang

Publication date: 3 August 2017

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

Full work available at URL: https://doi.org/10.1080/03081087.2016.1242555

zbMATH Keywords

bideterminantcommutative semiringMcCoy rankgeneralized Cramer rule

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Semirings (16Y60) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (3)

Cramer’s rule over residue class rings of Bézout domains ⋮ Note on the free sets and free subsemimodules in semimodules ⋮ The solvable conditions of linear system over commutative semirings

Cites Work

• Unnamed Item
• The cardinality of bases in semilinear spaces over commutative semirings
• Invertible matrices and semilinear spaces over commutative semirings
• Linear independence in bottleneck algebras
• Algebraic analysis of fuzzy systems
• Linear and combinatorial optimization in ordered algebraic structures
• Determinantal identities over commutative semirings
• Bases in max-algebra
• Invertible incline matrices and Cramer's rule over inclines
• On invertible matrices over commutative semirings
• The bideterminants of matrices over semirings

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