Inner products on semimodules over a commutative semiring.
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Publication:405934
DOI10.1016/j.laa.2014.07.042zbMath1305.16038OpenAlexW1999414621MaRDI QIDQ405934
Publication date: 8 September 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.2014.07.042
inner productssemimodulescommutative semiringsKronecker-Capelli theoremorthogonal subsemimodulesstandard orthogonal bases
Matrix equations and identities (15A24) Semirings (16Y60) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items (7)
Orthogonal complements and extending orthogonal subsets of semimodules ⋮ Extending orthogonal subsets of semimodules ⋮ The further study of semimodules over commutative semirings ⋮ Analysis of linear systems over idempotent semifields ⋮ On the maximal solution of a linear system over tropical semirings ⋮ Solving linear systems over tropical semirings through normalization method and its applications ⋮ Free sets and free subsemimodules in a semimodule
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