Results 21 to 30 of about 18,279 (288)
Equalizers and Coequalizers in the Category of Topological Molecular Lattices [PDF]
A completely distributive complete lattice is called a molecular lattice. It is well known that the category TML of all topological molecular lattices with generalized order homomorphisms in the sense of Wang, is both complete and cocomplete.
Ghasem Mirhosseinkhani, Narges Nazari
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The completely distributive lattice of machine invariant sets of infinite words
We investigate the lattice of machine invariant classes. This is an infinite completely distributive lattice but it is not a Boolean lattice. The length and width of it is c. We show the subword complexity and the growth function create machine invariant
Aleksandrs Belovs, J. Buls
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Serial relation and textural rough set [PDF]
The generalized rough set theory is based on the lower and upper approximation operators defined on the binary relation. The rough sets obtained from serial relations take an important place in topological applications.
Dost Şenol
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Compatibilities between continuous semilattices
We define compatibilities between continuous semilattices as Scott continuous functions from their pairwise cartesian products to $\{0,1\}$ that are zero preserving in each variable.
O.Ya. Mykytsey, K.M. Koporkh
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In this note we proved that each nonlinear generalized semi-Jordan triple derivable mapping on completely distributive commutative subspace lattice algebras is an additive derivation.
Fei Ma +3 more
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. Let Alg L be a completely distributive commutative subspace lattice algebra and let δ : Alg L → Alg L be a nonlinear map. It is shown that δ is a multiplicative generalized Lie n -derivation on Alg L with an associated multiplicative generalized Lie n -
Fei Ma, Min Yin
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“Complete-simple” distributive lattices [PDF]
It is well known that the only simple distributive lattice is the two-element chain. We can generalize the concept of a simple lattice to complete lattices as follows: a complete lattice is complete-simple if it has only the two trivial complete congruences.
Grätzer, G., Schmidt, E. T.
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A Note on the Topologicity of Quantale-Valued Topological Spaces [PDF]
For a quantale ${\sf{V}}$, the category $\sf V$-${\bf Top}$ of ${\sf{V}}$-valued topological spaces may be introduced as a full subcategory of those ${\sf{V}}$-valued closure spaces whose closure operation preserves finite joins.
Hongliang Lai, Walter Tholen
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M-Hazy Module and Its Homomorphism Theorem
Based on a completely distributive lattice M, we propose a new fuzzification approach to a module, which leads to the concept of an M-hazy module. Different from the traditional fuzzification approach that defines a fuzzy algebra as a fuzzy subset of a ...
Donghua Huo, Hongyu Liu
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Measurement of Countable Compactness and Lindelöf Property in RL-Fuzzy Topological Spaces
Based on the concepts of pseudocomplement of L-subsets and the implication operator where L is a completely distributive lattice with order-reversing involution, the definition of countable RL-fuzzy compactness degree and the Lindelöf property degree of ...
Xiongwei Zhang +2 more
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