Results 231 to 240 of about 12,906 (264)
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Canadian Journal of Mathematics, 1957
Let (X, ≤) be a partially ordered set, that is, X is a set and ≤ is a reflexive, anti-symmetric, transitive, binary relation on X.We write,for each x ∈ X. If, moreover,exists for each x and y in X, then (X, ≤) is said to be a semi-lattice.
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Let (X, ≤) be a partially ordered set, that is, X is a set and ≤ is a reflexive, anti-symmetric, transitive, binary relation on X.We write,for each x ∈ X. If, moreover,exists for each x and y in X, then (X, ≤) is said to be a semi-lattice.
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On Convergence of Sequences in Complete Lattices
Order, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Decompositions in Complete Lattices
Algebra and Logic, 2001A series of results on the existence of various kinds of decompositions in upper continuous lattices, lower continuous lattices, and some other types of lattices are proven.
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Lattice-valued spaces: ⊤-Completions
Fuzzy Sets and Systems, 2019Abstract The concept of a ⊤-Convergence space has recently been introduced and studied. These spaces are related to the top level space of a lattice-valued convergence space. In order to consider completions, ⊤-Cauchy spaces are defined and investigated in the present work.
Lyall Reid, Gary Richardson
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The Complete Congruence Lattice of a Complete Lattice
1990G. Birkhoff [1] raised the following question in 1945: Is every complete lattice isomorphic to the lattice of congruence relations of a suitable (infinitary) algebra? In 1948, Birkhoff restated this question in the Second Edition of his Lattice Theory [2]; however, “(infinitary)” was dropped from the question. This was intentional; G. Birkhoff referred
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Logical operators on complete lattices
Information Sciences, 1991A concept of consistency among logical operators is given with a criterion to decide whether a group of logical operators is suitable for fuzzy reasoning. Also, a necessary and sufficient condition for a kind of logical operators on \([0,1]\) is obtained.
Ma Zherui, Wu Wangming
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Deresiduums of implications on a complete lattice
Information Sciences, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong Su 0001, Zhudeng Wang
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On the Structure of the Completion of a Normed Lattice
Positivity, 2006This is a detailed study of a few subtle properties of the norm completion of a normed vector lattice \(X\). Special emphasis is put on the properties of the largest ideal in \(X\) enjoying the condition \(A_o\).
Koldunov, Andrew V. +1 more
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On Normed Lattices and Their Banach Completions
Positivity, 2005The authors prove that the countable interpolation property and the sequential order completeness are preserved under Banach completion. The paper makes use of a new technique for representation of normed lattices.
Koldunov, A. V., Veksler, A. I.
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Approximation operators on complete completely distributive lattices
Information Sciences, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Keyun Qin +3 more
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