A problem of A. Monteiro concerning relative complementation of lattices
M. E. Adams (1974)
Colloquium Mathematicae
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M. E. Adams (1974)
Colloquium Mathematicae
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Y. A. Abramovich, A. K. Kitover
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A linear operator T: X → Y between vector lattices is said to be disjointness preserving if T sends disjoint elements in X to disjoint elements in Y. Two closely related questions are discussed in this paper: (1) If T is invertible, under what assumptions does the inverse operator also preserve disjointness? (2) Under what assumptions is the operator T regular? These problems were considered by the authors in [5] but the current paper (closely related to [5] but self-contained) reflects...
R. Beazer (1974)
Colloquium Mathematicae
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Bachoc, Christine, Batut, Christian (1992)
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J. Quinn, R. Reichard (1974)
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Batut, Christian, Quebbemann, Heinz-Georg, Scharlau, Rudolf (1995)
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B. Węglorz (1967)
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Edward Marczewski (1963)
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V.B. Repnitskii (1995)
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Yi-Qun Zhang, Ya-Ming Wang, Hua-Wen Liu (2024)
Kybernetika
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In this paper, we present the representation for uni-nullnorms with disjunctive underlying uninorms on bounded lattices. It is shown that our method can cover the representation of nullnorms on bounded lattices and some of existing construction methods for uni-nullnorms on bounded lattices. Illustrative examples are presented simultaneously. In addition, the representation of null-uninorms with conjunctive underlying uninorms on bounded lattices is obtained dually.
Nehad N. Morsi, E. A. Aziz Mohammed, M. S. El-Zekey (2002)
Mathware and Soft Computing
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Albert R. Stralka (1974)
Colloquium Mathematicae
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