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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Josef Niederle (1989)
Czechoslovak Mathematical Journal
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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...
J. L. Ericksen (1982)
Rendiconti del Seminario Matematico della Università di Padova
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M. Nesibe Kesicioğlu (2017)
Kybernetika
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In this paper, an equivalence on the class of nullnorms on a bounded lattice based on the equality of the orders induced by nullnorms is introduced. The set of all incomparable elements w.r.t. the order induced by nullnorms is investigated. Finally, the recently posed open problems have been solved.
Walendziak, Andrzej (1994)
Portugaliae Mathematica
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