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Presolid varieties of n-semigroups

Avapa Chantasartrassmee, Jörg Koppitz (2005)

Discussiones Mathematicae - General Algebra and Applications

he class of all M-solid varieties of a given type t forms a complete sublattice of the lattice ℒ(τ) of all varieties of algebrasof type t. This gives a tool for a better description of the lattice ℒ(τ) by characterization of complete sublattices. In particular, this was done for varieties of semigroups by L. Polák ([10]) as well as by Denecke and Koppitz ([4], [5]). Denecke and Hounnon characterized M-solid varieties of semirings ([3]) and M-solid varieties of groups were characterized by Koppitz...

Projection representable relations on Menger ( 2 , n ) -semigroups

Wiesław Aleksander Dudek, Valentin S. Trokhimenko (2008)

Czechoslovak Mathematical Journal

Abstract characterizations of relations of nonempty intersection, inclusion end equality of domains for partial n -place functions are presented. Representations of Menger ( 2 , n ) -semigroups by partial n -place functions closed with respect to these relations are investigated.

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