Lattices in quasiordered sets
Ivan Chajda (1992)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Lattices in quasiordered sets
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In this paper, we study and characterize some properties of a given binary operation on a lattice. More specifically, we show necessary and sufficient conditions under which a binary operation on a lattice coincides with its meet (resp. its join) operation. Importantly, we construct two new posets based on a given binary operation on a lattice and investigate some cases that these two posets have a lattice structure. Moreover, we provide some representations of a given lattice based...