Note on cardinality of bases in semilinear spaces over zerosumfree semirings

DOI10.1016/j.laa.2013.07.033zbMath1283.15003OpenAlexW1988556880MaRDI QIDQ2435489

Asmaa M. Kanan, Zoran Z. Petrović

Publication date: 19 February 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2013.07.033

zbMATH Keywords

semilinear spacezerosumfree semiringscardinality of bases

Mathematics Subject Classification ID

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

Related Items

Orthogonal complements and extending orthogonal subsets of semimodules, The cardinality of bases in semilinear spaces over commutative semirings, Bases of a free semimodule are small., Free sets and free subsemimodules in a semimodule

Cites Work

• Unnamed Item
• Unnamed Item
• Bases in semilinear spaces over join-semirings
• Invertible matrices and semilinear spaces over commutative semirings
• Bases in semilinear spaces over zerosumfree semirings
• Algebraic analysis of fuzzy systems
• Moduloïds and pseudomodules. I: Dimension theory
• Max-algebra: The linear algebra of combinatorics?
• Bases in max-algebra