On the separation of convex sets in some idempotent semimodules

DOI10.1016/j.laa.2010.01.018zbMath1231.52001OpenAlexW2061297826MaRDI QIDQ550655

Walter Briec, Charles D. Horvath

Publication date: 13 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.01.018

zbMATH Keywords

\(\mathbb B\)-convexityfunctional convexityidempotent semimodulesmax-plus convexity

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Lattices and duality (06D50)

Related Items (8)

Determinants and limit systems in some idempotent and non-associative algebraic structure ⋮ Unnamed Item ⋮ Inner products on semimodules over a commutative semiring. ⋮ On some semilattice structures for production technologies ⋮ Bases in semimodules over commutative semirings ⋮ Directional distance functions and social welfare: some axiomatic and dual properties ⋮ Inner products on semimodules ⋮ Free sets and free subsemimodules in a semimodule

Cites Work

• The structure of max-plus hyperplanes
• Duality and separation theorems in idempotent semimodules.
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