Tensor products of idempotent semimodules. An algebraic approach

DOI10.1007/BF02675362zbMath0974.46057arXivmath/0101153MaRDI QIDQ1569761

V. P. Maslov, G. B. Shpiz, Grigori L. Litvinov

Publication date: 9 July 2000

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0101153

zbMATH Keywords

idempotent functional analysistensorsidempotent integrationidempotent ringfamilies of idempotent modulesidempotent moduletraces of nuclear operators

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Multilinear algebra, tensor calculus (15A69) Nonstandard functional analysis (46S20) Tensor products in functional analysis (46M05)

Related Items (7)

Idempotent and tropical mathematics; complexity of algorithms and interval analysis ⋮ The tensor product of function semimodules. ⋮ A bialgebraic approach to automata and formal language theory ⋮ An eigenvector existence theorem in idempotent analysis ⋮ A Bialgebraic Approach to Automata and Formal Language Theory ⋮ Semiring and Semimodule Issues in MV-Algebras ⋮ Semicorings and Semicomodules

Cites Work

• Linear functionals on idempotent spaces. An algebraic approach
• Das Tensorprodukt als universelles Problem
• An extension of the Galois theory of Grothendieck
• On a new principle of superposition for optimization problems
• Tensor Products and Bimorphisms
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