References of "Asian-European Journal of Mathematics"
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See detailAssociative string functions
Lehtonen, Erkko; Marichal, Jean-Luc UL; Teheux, Bruno UL

in Asian-European Journal of Mathematics (2014), 7(4), 145005918

We introduce the concept of associativity for string functions, where a string function is a unary operation on the set of strings over a given alphabet. We discuss this new property and describe certain ... [more ▼]

We introduce the concept of associativity for string functions, where a string function is a unary operation on the set of strings over a given alphabet. We discuss this new property and describe certain classes of associative string functions. We also characterize the recently introduced preassociative functions as compositions of associative string functions with injective unary maps. Finally, we provide descriptions of the classes of associative and preassociative functions which depend only on the length of the input. [less ▲]

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See detailCharacterization of preclones by matrix collections
Lehtonen, Erkko UL

in Asian-European Journal of Mathematics (2010), 3(3), 457-473

Preclones are described as the closed classes of the Galois connection induced by a preservation relation between operations and matrix collections. The Galois closed classes of matrix collections are ... [more ▼]

Preclones are described as the closed classes of the Galois connection induced by a preservation relation between operations and matrix collections. The Galois closed classes of matrix collections are also described by explicit closure conditions. [less ▲]

Detailed reference viewed: 83 (2 UL)