Results 21 to 30 of about 84,600 (169)
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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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 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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Complete intersection lattice ideals
Journal of Algebra, 2005 In this paper we completely characterize lattice ideals that are complete intersections or equivalently complete intersections finitely generated semigroups of $\bz^n\oplus T$ with no invertible elements, where $T$ is a finite abelian group. We also characterize the lattice ideals that are set-theoretic complete intersections on binomials.
Morales, M., Thoma, A.
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L-Fuzzy Prime Spectrums of ADLs
Advances in Fuzzy Systems, 2021 The notion of an Almost Distributive Lattice (ADL) is a common abstraction of several lattice theoretic and ring theoretic generalizations of Boolean algebra and Boolean rings.
Natnael Teshale Amare +2 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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A complete lattice technicolor model [PDF]
International Journal of Modern Physics A, 2014 We construct a lattice gauge theory using reduced staggered fermions and gauge fields which provides a nonperturbative realization of a complete technicolor model; one which treats both strong and weakly coupled gauge sectors on an equal footing. We show that the model is capable of developing a Higgs phase at nonzero lattice spacing via the formation
Catterall, Simon, Veernala, Aarti
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Weak embeddings of posets to the Boolean lattice [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 The goal of this paper is to prove that several variants of deciding whether a poset can be (weakly) embedded into a small Boolean lattice, or to a few consecutive levels of a Boolean lattice, are NP-complete, answering a question of Griggs and of Patkos.
Dömötör Pálvölgyi
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Materials & Design, 2022 The laborious work of post-processing powder removal from lattice structures made by polymer powder-based additive manufacturing (AM) process is still a major challenge and requires in-depth study. Here, a novel 3D honeycomb shaped lattice structure with
Saurav Verma +3 more
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Free completely distributive lattices [PDF]
Proceedings of the American Mathematical Society, 1979 We show that the usual construction of the free distributive lattice on n generators generalizes to an arbitrary quantity of generators and actually yields a free completely distributive lattice. Furthermore, for an infinite number of generators the cardinality of the corresponding free completely distributive lattice is exactly that of the power set ...
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