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On Monographs, Monadic Many-Sorted Algebras and Graph Structures

Thierry Boy de La Tour
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Résumé

A simple notion of monograph is proposed that generalizes the standard notion of graph and can be drawn consistently with them. It is shown that monadic many-sorted signatures can be represented by monographs, and that the corresponding algebras are isomorphic to the monographs typed by the corresponding signature monograph. Monographs therefore provide a simple unifying framework for working with monadic algebras. The simplicity of monographs is illustrated by deducing some of their categorial properties from those of sets.
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Dates et versions

hal-02428793 , version 1 (06-01-2020)
hal-02428793 , version 2 (31-01-2020)

Identifiants

  • HAL Id : hal-02428793 , version 2

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Thierry Boy de La Tour. On Monographs, Monadic Many-Sorted Algebras and Graph Structures. 2020. ⟨hal-02428793v2⟩
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