On skew lattices. II.
Václav Slavík (1973)
Commentationes Mathematicae Universitatis Carolinae
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Václav Slavík (1973)
Commentationes Mathematicae Universitatis Carolinae
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Sándor Radeleczki (2002)
Discussiones Mathematicae - General Algebra and Applications
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We define and study classification systems in an arbitrary CJ-generated complete lattice L. Introducing a partial order among the classification systems of L, we obtain a complete lattice denoted by Cls(L). By using the elements of the classification systems, another lattice is also constructed: the box lattice B(L) of L. We show that B(L) is an atomistic complete lattice, moreover Cls(L)=Cls(B(L)). If B(L) is a pseudocomplemented lattice, then every classification system of L is independent...
Jarmila Lisá (1972)
Commentationes Mathematicae Universitatis Carolinae
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Walendziak, Andrzej (1994)
Portugaliae Mathematica
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Emel Aşıcı, Funda Karaçal (2016)
Kybernetika
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In this paper, we define the set of incomparable elements with respect to the triangular order for any t-norm on a bounded lattice. By means of the triangular order, an equivalence relation on the class of t-norms on a bounded lattice is defined and this equivalence is deeply investigated. Finally, we discuss some properties of this equivalence.
Henry H. Crapo (1967)
Rendiconti del Seminario Matematico della Università di Padova
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J. L. Ericksen (1982)
Rendiconti del Seminario Matematico della Università di Padova
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