Note on the free sets and free subsemimodules in semimodules

DOI10.1016/j.laa.2017.01.012zbMath1370.16043OpenAlexW2574744356MaRDI QIDQ513224

Qian-yu Shu, Xue-ping Wang

Publication date: 3 March 2017

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

Full work available at URL: https://doi.org/10.1016/j.laa.2017.01.012

zbMATH Keywords

semiringfree setsemimodulefree basis

Mathematics Subject Classification ID

Semirings (16Y60) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

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• Bases in semilinear spaces over zerosumfree semirings
• Algebraic analysis of fuzzy systems
• Determinantal identities over commutative semirings
• Max-algebra: The linear algebra of combinatorics?
• The applications of the bideterminant of a matrix over commutative semirings
• The bideterminants of matrices over semirings
• Free sets and free subsemimodules in a semimodule

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