2001
DOI: 10.1023/a:1009514904187
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Abstract: Consider the set A = R ∪ {+∞} with the binary operations ⊕ = max and = + and denote by A n the set of vectors v = (v 1 , ..., v n ) with entries in A. Let the generalised sum u ⊕ v of two vectors denote the vector with entries u j ⊕ v j , and the product a v of an element a ∈ A and a vector v ∈ A n denote the vector with the entries a vj. With these operations, the set A n provides the simplest example of an idempotent semimodule. The study of idempotent semimodules and their morphisms is the subject of idempo… Show more

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Cited by 35 publications
(1 citation statement)
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“…The literature on the topic offers a wide range of publications written in varied styles and available on both the introductory and advanced levels. Specifically, the recent monographs: Kolokoltsov and Maslov [22], Golan [27], Heidergott, Olsder and van der Woude [28], Gondran and Minoux [29,31], Butkovič [31]; and overview papers: Kolokoltsov [40], Litvinov [41], Akian, Bapat and Gaubert [42], provide a broad source for further reading.…”
Section: Preliminary Definitions Notation and Resultsmentioning
confidence: 99%
“…The literature on the topic offers a wide range of publications written in varied styles and available on both the introductory and advanced levels. Specifically, the recent monographs: Kolokoltsov and Maslov [22], Golan [27], Heidergott, Olsder and van der Woude [28], Gondran and Minoux [29,31], Butkovič [31]; and overview papers: Kolokoltsov [40], Litvinov [41], Akian, Bapat and Gaubert [42], provide a broad source for further reading.…”
Section: Preliminary Definitions Notation and Resultsmentioning
confidence: 99%