The lattice of pseudotopologies on S
Carstens, Allan M. (1973)
Portugaliae mathematica
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Carstens, Allan M. (1973)
Portugaliae mathematica
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Henry H. Crapo (1967)
Rendiconti del Seminario Matematico della Università di Padova
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Václav Slavík (1973)
Commentationes Mathematicae Universitatis Carolinae
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Ian Richards (1959)
Rendiconti del Seminario Matematico della Università di Padova
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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...
Bohuslav Sivák (1982)
Mathematica Slovaca
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J. L. Ericksen (1982)
Rendiconti del Seminario Matematico della Università di Padova
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Funda Karaçal, M. Nesibe Kesicioğlu (2011)
Kybernetika
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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.