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Join Spaces Determined by Lattices
Violeta Leoreanu-Fotea and Ivo G. Rosenberg

We introduce and study here two families of hyperoperations determined by lattices. Starting with distributive and modular lattices, we obtain families of join spaces. Some of their properties are presented.

Keywords: Join space, hypergroup, hyperoperation, distributive lattice, modular lattice.

AMS Subject Classification (2000): 20N20

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