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Simplices in the endomorphism semiring of a finite chain. - MaRDI portal

Simplices in the endomorphism semiring of a finite chain. (Q895954)

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Simplices in the endomorphism semiring of a finite chain.
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    Simplices in the endomorphism semiring of a finite chain. (English)
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    11 December 2015
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    Summary: We establish new results concerning endomorphisms of a finite chain, if the cardinality of the image of such endomorphism is no more than some fixed number. The semiring of all such endomorphisms can be seen as a simplex whose vertices are the constant endomorphisms. We explore the properties of these simplices.
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    finite semirings
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    endomorphism semirings
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    endomorphisms of finite chains
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    simplices
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    idempotents
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    nilpotent elements
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