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Cantor-Bernstein theorem for lattices

Ján Jakubík (2002)

Mathematica Bohemica

This paper is a continuation of a previous author’s article; the result is now extended to the case when the lattice under consideration need not have the least element.

Characterization of the order induced by uninorm with the underlying drastic product or drastic sum

Zhi-qiang Liu (2024)

Kybernetika

In this article, we investigate the algebraic structures of the partial orders induced by uninorms on a bounded lattice. For a class of uninorms with the underlying drastic product or drastic sum, we first present some conditions making a bounded lattice also a lattice with respect to the order induced by such uninorms. And then we completely characterize the distributivity of the lattices obtained.

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