Bases in semilinear spaces over join-semirings

DOI10.1016/j.fss.2010.10.013zbMath1341.15003OpenAlexW1974973910MaRDI QIDQ429396

Xue-ping Wang, Shan Zhao

Publication date: 19 June 2012

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2010.10.013

zbMATH Keywords

basissemiringjoin-semiringsemilinear space

Mathematics Subject Classification ID

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

Related Items (10)

Dimensional formulas of semilinear subspaces over semirings ⋮ The cardinality of bases in semilinear spaces over commutative semirings ⋮ Inner products on semimodules over a commutative semiring. ⋮ Bases in semilinear spaces over zerosumfree semirings ⋮ Note on cardinality of bases in semilinear spaces over zerosumfree semirings ⋮ Bases in semimodules over commutative semirings ⋮ Standard orthogonal vectors in semilinear spaces and their applications ⋮ Inner products on semimodules ⋮ Bases and dimension of interval vector space ⋮ The bideterminants of matrices over semirings

Cites Work

• Invertible matrices and semilinear spaces over commutative semirings
• Linear independence in bottleneck algebras
• Algebraic analysis of fuzzy systems
• Minimax algebra
• Metamathematics of fuzzy logic
• Algebraic foundations of many-valued reasoning
• Max-algebra: The linear algebra of combinatorics?
• Bases in max-algebra
• Algebraic Analysis of Many Valued Logics
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