Structured lattices and ground categories of -sets.
Frascella, A., Guido, C. (2005)
International Journal of Mathematics and Mathematical Sciences
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Frascella, A., Guido, C. (2005)
International Journal of Mathematics and Mathematical Sciences
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A partial order on a bounded lattice is called t-order if it is defined by means of the t-norm on . It is obtained that for a t-norm on a bounded lattice the relation iff for some is a partial order. The goal of the paper is to determine some conditions such that the new partial order induces a bounded lattice on the subset of all idempotent elements of and a complete lattice on the subset of all elements of which are the supremum of a subset of atoms.