Standard orthogonal vectors in semilinear spaces and their applications

DOI10.1016/j.laa.2012.06.042zbMath1257.15003OpenAlexW2063407287WikidataQ112882199 ScholiaQ112882199MaRDI QIDQ1758474

Xue-ping Wang, Qian-yu Shu

Publication date: 9 November 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.06.042

zbMATH Keywords

basislinear independencesystem of linear equationscommutative semiringsKronecker-Capelli theoremcommutative monoidsdot productsemilinear subspacesstandard orthogonal vectors

Mathematics Subject Classification ID

Semirings (16Y60) Vector spaces, linear dependence, rank, lineability (15A03) Linear equations (linear algebraic aspects) (15A06)

Related Items (9)

Semimodules over commutative semirings and modules over unitary commutative rings ⋮ The further study of semimodules over commutative semirings ⋮ 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 semimodules over commutative semirings ⋮ Inner products on semimodules ⋮ The bideterminants of matrices over semirings ⋮ The solvable conditions of linear system over commutative semirings

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• Linear independence in bottleneck algebras
• Algebraic analysis of fuzzy systems
• On invertible matrices over antirings
• Generalized fuzzy matrices
• Linear and combinatorial optimization in ordered algebraic structures
• Minimax algebra
• Determinantal identities over commutative semirings
• Max-algebra: The linear algebra of combinatorics?
• Bases in max-algebra

This page was built for publication: Standard orthogonal vectors in semilinear spaces and their applications