Results 11 to 20 of about 89,240 (119)
Kernels of Residuated Maps as Complete Congruences in Lattices
International Journal of Computational Intelligence Systems, 2020 In a context of lattice-valued functions (also called lattice-valued fuzzy sets), where the codomain is a complete lattice L, an equivalence relation defined on L by the equality of related cuts is investigated.
Branimir Šešelja, Andreja Tepavčević
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On a complete lattice of retracts of a free monoid generated by three elements [PDF]
Opuscula Mathematica, 2008 We prove that the family of retracts of a free monoid generated by three elements, partially ordered with respect to the inclusion, is a complete lattice.
Wit Foryś
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Lattice of compactifications of a topological group [PDF]
Categories and General Algebraic Structures with Applications, 2019 We show that the lattice of compactifications of a topological group $G$ is a complete lattice which is isomorphic to the lattice of all closed normal subgroups of the Bohr compactification $bG$ of $G$.
Wei He, Zhiqiang Xiao
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Quotients and subalgebras of sup-algebras; pp. 311–322 [PDF]
Proceedings of the Estonian Academy of Sciences, 2015 An ordered algebra is called a sup-algebra if its underlying poset is a complete lattice and its operations are compatible with joins in each variable. In this article we study quotients and subalgebras of sup-algebras.
Xia Zhang, Valdis Laan
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A new view of relationship between atomic posets and complete (algebraic) lattices
Open Mathematics, 2017 In the context of the atomic poset, we propose several new methods of constructing the complete lattice and the algebraic lattice, and the mutual decision of relationship between atomic posets and complete lattices (algebraic lattices) is studied.
Yu Bin, Li Qingguo, Wu Huanrong
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On sublattices of the lattice of all ω-composition formations of finite groups [PDF]
Advances in Group Theory and Applications, 2018 It is proved that the lattice of all ω-local formations is a complete sublattice of the lattice of all ω-composition formations of finite groups.
Nikolay N. Vorob’ev
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On categorical aspects of S -quantales
Open Mathematics, 2018 S-quantales are characterized as injective objects in the category of S-posets with respect to certain class of homomorphisms that are order-preserving mappings. This paper is devoted to exhibitions of categorical structures on S-quantales.
Zhang Xia, Zhou Yunyan
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The Lattice Structures of Approximation Operators Based on L-Fuzzy Generalized Neighborhood Systems
Complexity, 2021 Following the idea of L-fuzzy generalized neighborhood systems as introduced by Zhao et al., we will give the join-complete lattice structures of lower and upper approximation operators based on L-fuzzy generalized neighborhood systems. In particular, as
Qiao-Ling Song +5 more
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International Journal of Mathematics and Mathematical Sciences, 1996 The collection of fuzzy subsets of a set X forms a complete lattice that extends the complete lattice 𝒫(X) of crisp subsets of X. In this paper, we interpret this extension as a special case of the fuzzification of an arbitrary complete lattice A. We
Arturo A. L. Sangalli
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Latent Complete-Lattice Structure of Hilbert-Space Projectors
Quanta, 2019 To uncover the hidden complete-lattice structure of Hilbert-space projectors, which is not seen by the operator operations and relations (algebraically), resort is taken to the ranges of projectors (to subspaces—to geometry).
Fedor Herbut
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